(P-3)(P+1) The answer with explanation please!

A) We can look at the coordinates of x in the horizontal axis and the coordinates of y in the vertical axis.

Then, we can see that A has coordinates (0,1), B has coordinates (1,2), C has coordinates (2,3) and D has coordinates (3,4).

We can then complete the table as:

Point | x | y

A | 0 | 1

B | 1 | 2

C | 2 | 3

D | 3 | 4

B) If we look at the pattern we can see that the points form a line.

A line will have a constant rate of change. We can see that for each unit increase of x, there is a increase of one in y, and this happens for all the points, so the rate of change is constant.

C) If we continue the pattern, we can create another point from D by adding one unit in x and one unit in y. This way we mantain the same rate of change (one unit of y per unit of x) and find new points.

With this method, we can create the following points: E(4, 5), F(5, 6) and G(6, 7).

We can plot them as:

Answer:

y = -2x + 7

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

That means that their product is -1.

If the slope of a line is m, then a perpendicular line has slope -1/m.

Given line slope: 1/2

Perpendicular slope: -2

Perpendicular line:

y = -2x + b

Point on new line: (0, 7)

7 = -2(0) + b

b = 7

Perpendicular line:

y = -2x + 7

Perpendicular lines have slopes that are negative reciprocals of each other.

We're given:

First, we must find the slope.

The y-intercept occurs when x=0. Therefore, given the point (0,7), we know that the y-intercept is 7:

\(y=-2x+7\)

Answer:

4π : 9π

Step-by-step explanation:

→ Find the area of circle with radius 8

π × 8² = 64π

→ Find the area of circle with radius 12

π × 12² = 144π

→ Simplify ratios

64π : 144π ⇒ 4π : 9π

An equation that can be used to find the length of the scarf in inches, y, with a number of rows is: A. y = 2/5(x).

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 4/10 = 6/15

Constant of proportionality, k = 2/5.

Therefore, the required linear equation is given by;

y = kx

y = 2/5(x)

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A rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5..

Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.

Let

L = length of rectangle,

W = width of rectangle and

D = length of diagonal = x

Given that the length of diagonal, x is twice as long as it is wide, we have that

L = 2W

Also, since it is rectangle, we have that

D² = L² + W²

D² = (2W)² + W²

D² = 4W² + W²

x² = 5W²

W² = x²/5

W = x/√5

W = x√5/5

since the length of the rectangle, L = 2W, we have that

L = 2W

= 2x√5/5

The area of the rectangle

The area of the rectangle is given by A = LW where

L = length of rectangle and

W = width of rectangle

So, A = LW

= 2x√5/5 × x√5/5

= 2x² × 5/25

= 2x²/5

So, the area of the rectangle is (B) 2x²/5

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Given three side lengths form an acute obtuse or a right triangle 17, 21, & 28

Check Right triangle

Not a Right triangle

An obtuse triangle is a triangle with one obtuse angle and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry.

Not an Obtuse triangle

Hence it is acute angle because all angles are less than 90°

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

a) 18

not sure about b sorry I'm literally doing it now in maths lol

Answer:

$19.35

Step-by-step explanation:

it takes two answers to mark someone brainliest so mark him now

The equation of the tangent line to the curve x+y-1=ln(x^6+y^6) at the point (1,0) is x - 1 = 0

The equation of the tangent line to the curve given by the equation x+y-1=ln(x^6+y^6) at the point (1,0) can be found using implicit differentiation.

Step 1: Differentiate both sides of the equation with respect to x:

d/dx (x+y-1) = d/dx (ln(x^6+y^6))

Step 2: Apply the chain rule to the right side of the equation:

1 + dy/dx = (1/(x^6+y^6)) * (6x^5 + 6y^5 * dy/dx)

Step 3: Rearrange the equation to isolate dy/dx:

dy/dx = (6x^5 + 6y^5)/(x^6 + y^6 - 1)

Step 4: Substitute the coordinates of the point (1,0) into the equation to find the slope of the tangent line at that point:

dy/dx = (6(1)^5 + 6(0)^5)/(1^6 + 0^6 - 1) = 6/0

Note: The slope of the tangent line is undefined, indicating that the tangent line is vertical.

Step 5: Using the point-slope form of a line, we can write the equation of the tangent line:

y - 0 = (6/0)(x - 1)

The equation of the tangent line to the curve x+y-1=ln(x^6+y^6) at the point (1,0) is x - 1 = 0. However, it's important to note that the slope of the tangent line is undefined, indicating that the line is vertical.

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In the given problem, we find that Luis is wrong because the probability of getting a Yahtzee in one roll of the dice is 1/6^5.

Luis is wrong because the probability of getting a Yahtzee in one roll of the dice is 1/6^5. This is approximately 0.00077 or 0.077%.

A Yahtzee is a combination of five dice with the same number on each dice. The probability of rolling any specific combination of five dice is 1/6^5 and this is because each dice has a 1/6 probability of showing the required number.

The probability of rolling a Yahtzee in one roll of the dice is 6 times the probability of rolling any specific combination, which is 6 x 1/6^5 or 1/6^4  since there are only six possible combinations of a Yahtzee (one for each number on the dice). Therefore, the correct probability of getting a Yahtzee in one roll of the dice is 1/6^5 and not 1/6b5 as Luis had stated.

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If Ali took 6 pencils from a new box of pencils and there are 18 pencils left in the box, then there were 24 pencils in the brand new box.

To see why, you can add the number of pencils Ali took to the number of pencils left in the box:

6 + 18 = 24

Therefore, there were 24 pencils in the brand new box before Ali took 6 of them.

Answer:

The value of X is 10 As the two triangles are similar X= 10

The fraction that represents the part of the whole cake each child receives is 4/25

from the question, we have the following parameters that can be used in our computation:

Five children divide 4/5 of a cake equally

The fraction that represents the part of the whole cake each child receives is calculated as

Fraction = 4/5 divided by 5

Mathematically, this can be represented as

Fraction = (4/5)/5

When the fraction is then evaluated, we have the solution to be

Fraction = 4/25

Hence, the solution is 4/25

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Answer:

Triangles

A=bxh

= 21x20

=420cm^2

(There are two triangle faces that's why I didn't divide by 2, it simply cancelled out the division of 2)

Base of shape

A=bxh

=20x22

=440cm^2

Front

A=bxh

=22x29

=638cm^2

Back

A=bxh

=22x21

=462cm^2

Total them

420cm^2 + 440cm^2 + 638cm^2 + 462cm^2 = 1960cm^2

Answer is 1960cm^2

Hope this helps!

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

Hey there!

Area of a square: Length(Length)

324=Length^2

Length=18 ft.

Let me know if this helps :)

Answer:

D. 81ft

Step-by-step explanation:

Area covered by the carpet = 324ft

Room being a square , has 4 equal sides = \(\frac{324}{4}\) ft = 81 ft

The length of Asim's living room is 81 ft

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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Answer:

6

Step-by-step explanation:

The maximum value of the sin function is at \(\dfrac{\pi}{2}\), when sin is equal to 1. Since you need to multiply pi/12 by 6 to get to pi/2, the maximum amount of people will be at the square after 6 hours. Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

2. The x-value of the given points is the same, so the points both lie on the vertical line ...

  x = P

__

1. The slope of a vertical line is "undefined".

__

3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.

__

4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.

Answer:

1. p^10

2. p^24

Step-by-step explanation:

p^6 x p^4=p^(6+4)=p^10

(p^6)^4=p^(6x4)=p^24

Answer:

New price: $255.50

Step-by-step explanation:

First you multiply 365x.30

Then you'll get 109.5

Sub that from 365 and you'll get $255.50

Answer:

x = 3/2

Step-by-step explanation:

Step 1: Write equation

-3(6x - 1) = -24

Step 2: Solve for x

Distribute: -18x + 3 = -24

Subtract 3 on both sides: -18x = -27

Divide both sides by -18: x = 3/2

Step 3: Check

Plug in x to verify if it's a solution.

-3[6(1.5) - 1) = -24

-3[9 - 1] = -24

-3[8] = -24

-24 = -24

Answer:

f(n) = 3n + 5

Step-by-step explanation:

Given sequence  8, 11, 14, 17,...

it is an arithmetical progression (AP)series

in AP series

nth term is given by

nth term = a + (n-1)d

where a is first term

d is the common difference

common difference  is calculated as = nth term - (n-1)th term

lets take nth term and (n-1)th term as 2nd term and 1st term

d = 11-8 = 3

Thus, common difference is 3

first term is 8

nth term is given by

nth term = a + (n-1)d

               = 8+(n-1)3

              = 8 + 3n -3

              = 5 + 3n

The formula that will generate the sequence 8, 11, 14, 17,...,

is option f(n) = 3n + 5

___________________________________________

A quick way to find this is take any value of the series and determine its term number and put value of term in the option . The option which gives the same value as in the sequence is the correct choice

Example

8 is the 1st term

so in place of n put 1 in all the option. The option which will give value as 8 is correct answer.

Answer:

you should get 30 as an answer

Step-by-step explanation:

9*5=45

3*5=15

45-15=30

Answer:

48 ounces

Step-by-step explanation:

1 pound = 16 ounces

3x16=48

Hope this helps :)

Answer:

48

Step-by-step explanation:

If I'm wrong let me know, but I'm pretty sure it's 48 ounces

The pH when [H+] = 2.6×10-6 M is 5.59. pH is a measure of the acidity or alkalinity of a solution and is defined as the negative logarithm (base 10) of the hydrogen ion concentration ([H+]).

To calculate the pH, we take the logarithm of the [H+] and then negate the result.

In this case, we are given that [H+] = 2.6×10-6 M. Taking the logarithm of 2.6×10-6 gives us -5.585. To obtain the pH, we negate this value, resulting in a pH of 5.59.

The pH scale ranges from 0 to 14, with values below 7 indicating acidity and values above 7 indicating alkalinity. A pH of 7 represents a neutral solution, where [H+] and [OH-] concentrations are equal.

In the given scenario, the [H+] concentration of 2.6×10-6 M corresponds to a relatively low acid concentration. The pH of 5.59 indicates a slightly acidic solution.

It is important to note that pH values are logarithmic, meaning that each whole number change in pH represents a tenfold change in acidity or alkalinity. Therefore, even small changes in pH values can signify significant changes in the hydrogen ion concentration and the acidity of a solution.

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