PLEASE PLEASE HELP ME ASAP

PLEASE PLEASE HELP ME ASAP

Answers

Answer 1

Step-by-step explanation:

If those are the roots to a quadratic , then the quadratic is

(x - 20/8 + i sqrt(1008)/8 ) (x-20/8+ i sqrt (1008)/8)

 It is a bit messy to do this by hand....but the reduced quadratic is:

=     x^2 -5x+22


Related Questions

What is a disadvantage of electron microscopes compared to light microscopes?

They do not have a very high power of resolution.
They cannot be used to view live specimens.
They can only be used by doctors.
They can only see surface details.

Answers

A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.

A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.

Therefore, option B is the correct answer.

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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.

I hope this helped! :)

you can use universal generalization (ug) to obtain a universal statement by generalizing only from a free variable, and not from a constant. true or false

Answers

True, you can use universal generalization (UG) to obtain a universal statement by generalizing only from a free variable, and not from a constant. Generalization involves making a statement that applies to all instances of the variable, while constants remain fixed and do not change in value.

True. Universal generalization (UG) allows us to derive a universal statement by generalizing from a free variable. General sampling deals with the fact that if something is true for everything, it must also be true for every specific thing called the constant c. Existential generalization deals with the fact that the special case c is true for at least one thing if it is true.

A free variable is a variable that is not bound by a quantifier, meaning it is not restricted to a specific value or range of values. In contrast, a constant is a variable that is already assigned a specific value and cannot be generalized over. Therefore, UG can only be applied to free variables and not constants.

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224/5The Sears Tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower

Answers

The answer is as follows :The Sears Tower in Chicago is 1450 feet high.

A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower. The height of the actual Sears Tower is 1450 feet.

The height of the model is 24 inches. Convert feet to inches.

1 feet = 12 inches,

1450 ft = 1450 × 12 = 17400 inches.

The ratio of the height of the model to the height of the actual Sears Tower is;

24 / 17400This can be further simplified to:2 / 1450,

the ratio of the height of the model to the height of the actual Sears Tower is:2: 1450,

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what happens to an inequality sign when the inequality is multiplied or divided by a negative number

Answers

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?
A. Bernard ate a little less than One-half of the pizza.
B. Bernard ate a little more than One-half of the pizza.
C. Bernard ate a little less than Two-thirds of the pizza.
D. Bernard ate a little more than Two-thirds of the pizza.

Answers

Answer:

b

Step-by-step explanation:

$60,000 is invested for 2 years at a simple interest rate of 5%. how much does the investment earn?

Answers

Answer:

6,000

Step-by-step explanation:

It's correct trust me

Solve the following for :
60/3=x/4

Answers

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

9. Line m and point P are shown in the graph below.
P
Write an equation in slope-intercept form that
represents the line passing through P and parallel to
line m.

9. Line m and point P are shown in the graph below.PWrite an equation in slope-intercept form thatrepresents

Answers

The equation for the line passing through P and parallel to line m is y - 4 = 0.

What is equation?

An equation is a mathematical statement that expresses the equality of two expressions, usually involving unknowns or variables. An equation typically uses an equals sign ("=") to denote the relationship between two expressions. Equations are used to solve problems in many areas of mathematics, including algebra, calculus, and geometry.

The equation for the line passing through P and parallel to line m is y - 4 = 0 (m), where m is the slope of line m. This equation is in slope-intercept form and can be used to represent the line passing through P and parallel to line m.

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Is this relation a function and why?

Is this relation a function and why?

Answers

Answer:

no

Step-by-step explanation:

it doesnt pass the vertical line test -60 has 2 values

EASY 7TH GRADE MATH! FIRST PERSON MARKED BRAINLIEST, NEED HELP NOW!!!

EASY 7TH GRADE MATH! FIRST PERSON MARKED BRAINLIEST, NEED HELP NOW!!!

Answers

Answer:

slope of 2 and y-intercept of 1

(3rd answer choice)

Step-by-step explanation:

Answer:

It's the last one doesn't matter which way you go they are both going to the negative way because they are going down and to the left so they are both negative. I hope this helps good luck.

Evaluate the expression for u = 5

Answers

Answer:

5

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    u-(5)=0

Step by step solution :

STEP

1

:

Solving a Single Variable Equation:

1.1      Solve  :    u-5 = 0

Add  5  to both sides of the equation :

                     u = 5

The grade point averages (GPA) for 12 randomly selected
college students are shown on the right. Complete parts (a)
through (c) below.
Assume the population is normally distributed.
2.2 3.4 2.7
1.7 0.6 4.0
2.3 1.2 3.5
0.1 2.3 3.4
(a) Find the sample mean.
x=
(b) Find the sample standard deviation.
s= (c) Construct a 90 % confidence interval for the population mean
μ.
A 90 % confidence interval for the population mean is (__,
__)

Answers

Vv huh and snakes. And s s end d 827/ !$/ a 828

evaluate. express each result in scientific and standard rotation. please help!

evaluate. express each result in scientific and standard rotation. please help!

Answers

The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

What is Expression?

An expression is a combination of variable, numbers and operators.

The given expression is

(5×10⁻²)(2.3×10¹²)

Use the distributive property

(5×2.3)(10⁻²×10¹²)

The powers with same base will be added

11.5×10⁻²⁺¹²

11.5×10¹⁰

23) (3.9×10³)(4.2×10⁻¹¹)

(3.9×4.2)(10³×10⁻¹¹)

The powers with same base will be added

16.385×10⁻⁸

25) 3.12×10³/1.56×10⁻³

The sign of power of denominator changes to opposite sign when it shifted to numerator.

4.8672×10³⁺³

4.8672×10⁶

(28) 1.82×10⁵/9.1×10⁷

0.2×10⁵⁻⁷

The sign of power of denominator changes to opposite sign when it shifted to numerator.

0.2×10⁻²

Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

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The product of two consecutive integers is 19 more than their sum. Find the integers.A. 5,6 B. -4,-3 C. 4,5 or -4,-3 D. 5,6 or -4 , -3

Answers

The answer to the question is C, which is integers 4,5 or -4,-3.

Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2


The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.

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In a certain city, the monthly electricity bills for the month of April followed a normal distribution with a mean of $65.43 and a standard deviation of $9.22. The number of households in the city is 261,500.


Rounded to the nearest hundred, what is the expected number of households that paid between $50 and $70?


A)91,100

B)130,600

C)168,100

D)248,200

Answers

The expected number of households that paid between $50 and $70 is

168,100.

As, z-score, also known as the standard score, is a statistical measure that represents the number of standard deviations a particular data point is away from the mean of a distribution.

The formula to calculate the z-score for a data point "x" in a distribution with mean "μ" and standard deviation "σ" is:

z = (x - μ) / σ

First, let's calculate the z-scores:

For $50:

z1 = (50 - 65.43) / 9.22

For $70:

z2 = (70 - 65.43) / 9.22

Using a standard normal distribution table

P(z < z1) = P(z < (50 - 65.43) / 9.22)

P(z < z2) = P(z < (70 - 65.43) / 9.22)

Let's denote these probabilities as p1 and p2, respectively.

So, Expected number = Total number of households * (p2 - p1)

Substituting the given values:

Expected number = 261,500 (p2 - p1)

Now, z1 = (50 - 65.43) / 9.22 = -1.6729

z2 = (70 - 65.43) / 9.22 = 0.4952

So, the corresponding probabilities:

P(z < -1.6729) ≈ 0.0475

P(z < 0.4952) ≈ 0.6879

Expected number = 261,500 (0.6879 - 0.0475)

Expected number ≈ 261,500 x 0.6404

Expected number ≈ 167,100

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The expected number of households is 168,100.

Option C is the correct answer.

We have,

To find the expected number of households that paid between $50 and $70, we need to calculate the z-scores for both values and then use the cumulative distribution function (CDF) of the normal distribution to find the probability.

Finally, we multiply this probability by the total number of households to get the expected number.

First, let's calculate the z-score for $50:

\(z_1\) = (\(x_1\) - μ) / σ

= (50 - 65.43) / 9.22

≈ -1.671

Next, let's calculate the z-score for $70:

\(z_2\) = (\(x_2\) - μ) / σ

= (70 - 65.43) / 9.22

≈ 0.495

Now, we can use the CDF to find the probability of the values falling between these z-scores.

\(P(X_1 < X < X_2) = P(z_1 < Z < z_2)\\= P(z < z_2) - P(z < z_1)\)

Using a standard normal distribution table or a calculator, we can find the corresponding probabilities:

P(z < -1.671) ≈ 0.0467

P(z < 0.495) ≈ 0.6868

Subtracting the two probabilities, we get:

P(-1.671 < z < 0.495) ≈ 0.6868 - 0.0467 ≈ 0.6401

Finally, we multiply this probability by the total number of households:

Expected number of households

= P(-1.671 < z < 0.495) * Total number of households

= 0.6401 * 261,500

≈ 167,587.15

Rounding this value to the nearest hundred, we get:

Thus,

The expected number of households is 168,100.

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Help plsssssssssssss????

Help plsssssssssssss????

Answers

Answer:

y=2/3+11

Step-by-step explanation:

Directions: Solve the following equations by using the rules for removing the parentheses.

1. 4(x - 3) = 32

2. 12(2x + 4) = 24

3. 3(3s + 4) = 21

4. 3(c - 2) = 2(c + 3)

5. 12(r - 3) = 6(r + 3)

6. 2(x+5) = 30

7. 3(b+2) = 6(b-2)

8. 4(c-2) = 16

9. 7(y+2) = 28

10. 4(d-2) = 2(d+3)

11. 5(L+5) = 35

12. 2(k-2) = 44

13. p-7 = 11

14. 3(s+3) = 27

15. 5(a-3) = 45

Answers

Answer:

1. x = 11

2. x = -1

3. s = 1

4. c = 12

5. r = 9

6. x = 10

7. b = 6

8. c = 6

9. y = 2

10. d = 7

11. L = 2

12. k = 24

13. p = 18

14. s = 6

15. a = 12

Answer:

1. 4(x -3) = 32

4x - 12 = 32

4x = 32 - 12

4x = 20

4x /4 = 20 /4

x = 5

2 . 12 ( 2x + 4 ) = 24

24x + 48 = 24

24x = 24 - 48

24x = - 24

Divide both sides by 24

x = - 1

3. 3 ( 3s + 4) = 24

9s + 12 = 24

9s = 24 - 12

9s = 12

9s = 12

Divide both sides by 9

s = 12 /9

4. 3 ( c - 2 ) = 2 ( c +3 )

3c - 6 = 2c + 6

3c - 2c = 6 + 6

c = 12

5 . 12(r - 3 )= 6 (r + 3)

12r - 36 = 6r + 18

12r - 6r = 18 + 36

6r = 54

Divide both sides by 6

r = 9

6 . 2 ( x + 5 ) = 30

2x + 10 = 30

2x = 30 - 10

2x = 20

x = 10

Too long to type steps already explained

BUT I HELPED ☆☆

Plssss Mark brainlest

Calculate the mode of:4.6,3,8.1,9,12,3,9,3.5,7,3.
A)5.8
B)3
C)9
D)6.22

Answers

Answer: B). 3

Explanation:

Mode=number that is most common

Rule out all numbers that aren’t common, you are left with 3 (appears 4 times)

in the given figure AB || CD PROVE THAT p+q+r = 180

Answers

The sum of angles p, q, and r is equal to 180 degrees.

A degree is a unit of measurement used in geometry to represent angles.

To prove this, we will use the concept of alternate interior angles. Alternate interior angles are angles that are formed on the inside of the two lines when they are parallel to each other. Since AB || CD, alternate interior angles p and q are equal.

We know that the sum of angles in a triangle is equal to 180 degrees. In this case, we have a triangle ABC with angles p, q, and r. Hence,

=> p + q + r = 180 degrees.

Next, since p and q are equal, we can represent them as p = q. Now, substituting the value of q into the above equation, we get:

=> p + p + r = 180 degrees.

This can be simplified to 2p + r = 180 degrees. But since p = q, we can replace p with q. Hence,

=> 2q + r = 180 degrees.

Finally, substituting the value of p = q into the above equation, we get:

=> 2p + r = 180 degrees.

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in the given figure AB || CD PROVE THAT p+q+r = 180

What number should be added to both sides of the equation to complete the square? x2 + 3x = 6
a. (StartFraction 3 Over 2 EndFraction)
b. squared 3/2
c. 3
d. 6^2

Answers

The equation to complete the square for x² + 3x = 6 is 3/2 (option a)

To complete the square for the equation x² + 3x = 6, we need to add a specific number to both sides of the equation. The number we need to add is half of the coefficient of x, squared. In other words, we need to find (b/2)², where b is the coefficient of x.

In this equation, b is 3, so (b/2)² is (3/2)², which simplifies to 9/4. Therefore, to complete the square, we need to add 9/4 to both sides of the equation:

x² + 3x + 9/4 = 6 + 9/4

Now, we can rewrite the left side of the equation as a perfect square:

(x + 3/2)² = 33/4

Finally, we can solve for x by taking the square root of both sides of the equation:

x + 3/2 = ± √(33/4)

x = -3/2 ± √(33/4)

Therefore, the answer to the question is a) 3/2.

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Nolan would like to buy a computer that costs 1,476. Working as a consultant, he bills his clients $82 per hour. What is his minimum number of hour he has to work to have enough for the computer

Answers

Nolan has to 18 hours work to have enough for the computer which costs 1,476.

We have been given that Nolan would like to buy a computer that costs 1,476. Working as a consultant, he bills his clients $82 per hour.

To determine the minimum number of hours he has to work to have enough for the computer.

The minimum number of hours he has to work is the ratio of the cost of a computer to his earnings per hour

The minimum number of hours = cost of computer /  his earnings per hour

The minimum number of hours = 1,476 / $82

Apply the division operation,

The minimum number of hours = 18

Therefore, Nolan has to 18 hours work to have enough for the computer which costs 1,476.

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Instead of throwing next snowball, Max decides to kick it off the ground He can kick it at a speed of 24 feet per second.

How long will it take for
Max's kicked snowball to
hit the ground, and what
is its maximum height.

Answers

Answer:

To solve this problem, we can use the equations of motion for a vertically launched object. First, we need to find the initial velocity of the snowball when it is kicked off the ground. We know that its speed is 24 feet per second, but we also need to take into account the angle at which it is kicked. Let's assume that Max kicks the snowball at a 45-degree angle. Using trigonometry, we can find that the horizontal velocity of the snowball is also 24 feet per second, and the vertical velocity is 24 feet per second times the sine of 45 degrees, which is approximately 16.97 feet per second. Now we can use the following equation to find the time it takes for the snowball to hit the ground: h = vi*t + 0.5*a*t^2 where h is the maximum height, vi

the perimeter of an equilateral triangle is 1/8 unit. what is the length in units of each side of the triangle?

Show your work

Answers

Answer:

Each side of the triangle is 1/24 unit.

Step-by-step explanation:

Equilateral triangle is a triangle with equal sides  and perimeter is given by the formula:

P = 3a

where a is the length of one side

Given: P = 1/8 unit

Solve for a:

P = 3a

1/8 unit = 3a

Divide both sides of the equation by 3 to get the value of a

(1/8unit)/3 = 3a/3

1/24 unit = a

a = 1/24 unit

The length of each side of the triangle is 1/24 unit.

What is perimeter?

Perimeter is the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

We are given that;

Perimeter= 1/8unit

Now,

To find the length of each side of an equilateral triangle, you need to divide the perimeter by 3, since all three sides are equal.

In this case, the perimeter is 1/8 unit, so you need to divide 1/8 by 3.

You can do this by multiplying 1/8 by the reciprocal of 3, which is 1/3:

8/1​÷3=8/1​×3/1​

=1/8×3/1×1​

=1/24​

Therefore, by the given perimeter the answer will be 1/24 unit.

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compute the equation for the line between (4,5,6) and (1,0,-3) in r^3 and find the midpoint between the two points.

Answers

The computed value of equation for the line between (4,5,6) and (1,0,-3) in R³, (x, y,z) = (4,5,6) + (1,0,-3) and the midpoint between the two points is equals to the \( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \).

We have to determine the equation for the line between (4,5,6) and (1,0,-3) in R³. Equation is written as (x, y,z) = (4,5,6) + (1,0,-3). The midpoint is equals to middle point of a line segment. It is equidistant from both endpoints. The midpoint can be found with the formula, \((x, y, z) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2})\)

Here (x₁, y₁ , z₁) and (x₂, y₂, z₂) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points. Here,

x₁ = 4, y₁ = 5, z₁ =6 and x₂ = 1, y₂=0, z₂ = -3, Substitute all known values in above formula, \((x, y, z) = (\frac{4+1}{2}, \frac{5+ 0}{2}, \frac{6+ (-3)}{2}). \)

=\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)

Hence, required value of midpoint is

\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)

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Find one value of xxx that is a solution to the equation: (5x+2)^2+15x+6=0(5x+2) 2 +15x+6=0

Answers

An equation is formed of two equal expressions. The solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution to the equation,

(5x+2)² + 15x + 6=0

25x² + 4 + 20x + 15x + 6 = 0

25x² + 35x + 10 = 0

Plotting the equation on the graph, the value of x is,

x = -0.4, -1

Hence, the solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.

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What is the answer for this?
17'
X
12'

What is the answer for this?17'X12'

Answers

Answer:

102

Step-by-step explanation:

Multiply 17 x 12 and then divide 204 by 2 which gives you 102.

Step-by-step explanation:

Use Pythagorean Theorem  ( for RIGHT triangles such as this)  

hypot^2  = leg1 ^2  + leg2 ^2

x^2 = 17^2 + 12^2

x^2 = 433

x = 20.8 feet

whats the answerrrrrrrr









whats the answerrrrrrrr

Answers

9514 1404 393

Answer:

  10^4 or 10,000

Step-by-step explanation:

The ratio of pig mass to mouse mass is ...

  (2×10^2 kg)/(2×10^-2 kg) = (2/2)×10^(2-(-2)) = 10^4 = 10,000

A pig has about 10^4 times the mass of a mouse.

Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.

Answers

The values of k that will cause the system of equations to have no solution is; k = 7 and 21

We are given the simultaneous equations;

6x - 4y = 14

3x - 2y = k

Now, for both equations not to have a solution it means that x and y can't be made to be subjects.

Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.

By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.

Thus;

2k = 14

k = 14/2

k = 7

Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.

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Answer:

-2, 5, 10, 21

A, B, D, E

Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answers so I can do the rest myself. please

Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly

Answers

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

$Ub to Bobby Vlonswieger on Help me

Answers

Answer: OK?

Step-by-step explanation:

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