Find the slope of the lines containing the following points
(-2, 1) & (-5,5)

The sentence "15% of 4x is 20 less than x"

translates to    0.15 • (4x)  = x – 20

Solving that…

    0.15(4x) = x - 20           multiplipy 0.15•4

          0.6x = x - 20           subtract x from both sides

         -0.4x = - 20              divide both sides by -0.4

                x = 50

Answer:

4:3

Step-by-step explanation:

Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.

Answer:

9(x+3)

Step-by-step explanation:

they both have a common factor of 9

Answer: B.pi/2

ABCD is a square

=> Δ ABD is a  isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is  diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is \(S=\frac{(\sqrt{2})^{2} }{4}.\pi =\frac{\pi }{2}\)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

\(-2<-1 \frac{5}{8}<-1\), and A is the only point between -2 and -1.

Answer: i believe your answer would be C.

Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.

Answer:

43.6%

Step-by-step explanation:

curved surface area (green) is found by circumference multiply by height

\(\pi\) x d x h = \(\pi\) x (15 x 2) x 12 = 360\(\pi\)

total surface area is

blue circle + total curved surface area (blue + green)

= \(\pi\)\(r^{2}\) + 15(2)(8)\(\pi\) + 360\(\pi\)

= \(15^{2}\)\(\pi\) + 240\(\pi\) + 360\(\pi\)

= 825\(\pi\)

percentage = 360\(\pi\)/825\(\pi\) x 100%= 22/55 x 100% = 43.63

Answer: the gcf is 2

Step-by-step explanation:

There boom your anwser

The columns of a matrix are dependent if there exists a vector combination that results in a vector of zeroes.

This can be tested using a vector V of coefficients, such that:

\(MV = 0\)

If this is true, then the columns of M are dependent. To illustrate this with an example, consider a 3x3 matrix:

\(M = [[a, b, c], [d, e, f], [g, h, i]]\)

To find the vector combination V that results in a vector of zeroes, we can use Gaussian elimination to reduce the matrix to row echelon form:

\(M = [[1, 0, -c/a], [0, 1, -f/e], [0, 0, 0]]\)

From this, we can deduce the vector combination V:

\(V = [1, -(c/a)*(f/e), 1]\)

Therefore, the columns of M are dependent.

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I gotchu <3

Since the vertex is (0, -3), the quadratic function can be written in vertex form as:

f(x) = a(x - 0)^2 - 3

Where 'a' is a constant that determines the shape of the parabola. Since the end behavior of the function is y --> - Infinite as x --> - infinite and y --> - Infinite as x --> + infinite, the leading coefficient 'a' must be negative.

So, f(x) = -a(x^2 - 0x) - 3

Now, using the given point (1, -7) on the parabola, we can substitute the coordinates into the function and solve for 'a'.

-7 = -a(1^2 - 0(1)) - 3

-7 = -a - 3

a = 10

Therefore, the quadratic function that satisfies the given characteristics is:

f(x) = -10x^2 - 3

Hope this helps :)

Answer:

Answer below in picture

I hope it helps.

Answer:

2187

So you do 3 x (3 6)

Answer:  The answer is 2187

Step-by-step explanation: first multiply 3 and 3 and thats 9 and finally 9 to the power of 6 is 2187

Answer:

8 2/5

Step-by-step explanation:

The explanation is in the picture, hope this helps :)

Answer:

Step-by-step explanation:

84%

800*.84 = 672 students prefer the stadium

Answer:

In order:

Distributive Property

Subtraction Property of Equality

Division Property of Equality or Reciprocal Property

Step-by-step explanation:

Answer:

Hi bub. Thanks for the points lol.

:D

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

lol

The statement "a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints." is True because a line segment is defined as a part of a line that is bounded by two distinct end points and contains all the points on the line between those endpoints.

A line segment is a part of a line that has two endpoints and connects them. It is the shortest distance between two points and has a definite length, but no width or height. A line segment can be part of a straight line or a curved line.

A line segment is a section of a line that is defined by two distinct end points and includes every point on the line between them. It is the basic building block of geometry and can be used to measure distances, angles, and shapes.

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It is any number that can be represented on a number line. It can be positive, negative, rational, or irrational. Include final answers: y = mx + b, x = a, answer cannot be written in numerical form

The solution to the given problem is as follows; If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is "m."

Then the slope-intercept form equation of the line l can be written as;

y = mx + b Here, "b" is the y-intercept of the line "l".

Now if the line "l" passes through a point (x1, y1), then the slope-intercept form equation of the line "l" becomes;

y = m(x - x1) + y1

Given that the line is not a vertical line, that means its slope is not undefined.

Therefore, the slope-intercept form equation of the line "l" can be written as;

y = mx + b

Now, the question is not providing any values for slope "m" or y-intercept "b", so it is not possible to write the equation of the line "l" completely.

However, it can be said that the equation of the line "l" can't be written in the form of x = a as it is a non-vertical line.

Therefore, the answer is;

Code: it is not possible to write the equation of the line "l" completely in the form of y = mx + b or x = a as it is a non-vertical line.

The answer cannot be written in decimal or any other numerical form.

Vertical line: x = a

Real number: It is any number that can be represented on a number line.

It can be positive, negative, rational, or irrational.

Include final answers: y = mx + b, x = a, answer cannot be written in numerical form.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Cash paid for insurance during 2014 was $15,100.The following formula can be used to determine the cash spent on insurance in 2014:

Insurance expense in 2014 minus an increase in prepaid insurance = Cash paid for insurance.

The difference between the prepaid insurance balance at December 31, 2014, and December 31, 2013, can be used to compute the rise in prepaid insurance:

Prepaid insurance at December 31, 2014 minus Prepaid insurance at December 31, 2013 equals $1,500 minus $2,400, or -$900.

The fact that the prepaid insurance balance fell between 2013 and 2014 indicates that the business used more insurance coverage than it had purchased for the year. As a result, the 2014 insurance premiums paid in cash are:

Insurance expense for 2014 minus the increase in prepaid insurance is $14,200 - (-$900) = $15,100 in cash paid for insurance.

The correct response is (C) $15,100.

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Answer:

Number of Years to Double= 15.65

Step-by-step explanation:

Giving the following information:

Interest rate= 0.044/4= 0.011

Annual compound interet rate= (1.011^4) - 1= 0.4473

The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.

Number of Years to Double= 70/Annual Rate of Return

Number of Years to Double= 70/4.473

Number of Years to Double= 15.65

Answer: 16.4

Step-by-step explanation: A p a x

The volume of the pyramid is 919968 m³.

What is volume?

The amount of space, measured in cubic units, that an object or substance occupies. a mass or quantity.

Given that, A stone pyramid has a square base that measures 157 m on each side. the height is 95 m.

Volume of square pyramid = (base area) * h/3

= (148 x 148) x 126/3

=21904 x126/3

= 919968

Hence, The volume of the pyramid is919968 m³.

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:delta math

Answer:

Parallel lines

Step-by-step explanation:

Parallel lines have the same slope. Perpendicular lines have opposite (positive/negative) reciprocal slopes, and neither would be if the 2 slopes don't fit in either category.

If you set both the equations in standard form (y=), you get y = 2x-7 and y =  2x +5. The slopes of both is 2, so these are Pallarel lines.

Answer:

Parallel

Step-by-step explanation:

First put the equations in y = mx + b form

Equation 1 : -2x + y = -7

Add 2x to both sides

y = 2x - 7

Equation 2 : y - 5 = 2x

Add 5 to both sides

y = 2x + 5

Now that we have the equations in y = mx + b form we can determine whether the equations are parallel, perpendicular or neither

If the slopes are the same and the y intercepts are different then the equations are parallel

If the slopes are reciprocals then the equations are perpendicular.

If none of this happens then the answer is neither

The two equations y = 2x + 5 and y = 2x - 7 have a slope of 2 as well as different y intercepts therefore they are parallel

Answer: translation.

Answer:

Here's b > 4 on the number line. When greater than, the arrow always starts with an open circle. If less than, then it will start with a closed circle.

Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

Pi = π = 3.14

Step-by-step explanation:

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

π = 18.84 inches/6 inches

π = 3.14

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

The formula for the area of the circle = πr²

Circle A has a diameter of 7 inches, an area of 38.465 square inches.

r = Radius = 7 inches ÷ 2

= 3.5 inches

π = Area / Radius²

π = 38.465 in²/(3.5 inches)²

π = 3.14

For Circle B

The diameter of circle B is 6 inches, and the area is 28.26 square inches.

r = Radius = 6 inches ÷ 2

= 3 inches

π = Area / Radius²

π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

The observation is that the values of \(\pi\) remain 3.14 when \(\pi\) is calculated from the areas and circumferences of both circles

The given parameters are:

Circle A

Circle B

The circumference of a circle is:

\(C= \pi d\)

Make \(\pi\) the subject

\(\pi = \frac{C}{d}\)

For circle A, we have:

\(\pi_A = \frac{21.98}{7}\)

\(\pi_A = 3.14\)

For circle B, we have:

\(\pi_B = \frac{18.84}{6}\)

\(\pi_B = 3.14\)

Hence, the value of \(\pi\) in both circles is 3.14

The given parameters are:

Circle A

Circle B

The area of a circle is:

\(A= \pi \frac{d^2}{4}\)

Make \(\pi\) the subject

\(\pi = \frac{4A}{d^2}\)

For circle A, we have:

\(\pi_A = \frac{4 * 38.465 }{7^2}\)

\(\pi_A = 3.14\)

For circle B, we have:

\(\pi_B = \frac{4 * 28.26 }{6^2}\)

\(\pi_B = 3.14\)

Hence, the value of \(\pi\) in both circles is 3.14

The observation is that the values of \(\pi\) in both circles when area and circumference are used is 3.14

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The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

the lines on the very end are your subtrct the the lowest one from the highest one