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3 years ago

Which of the following is equivalent to 30p4q3r + 42p2r - 18p2q2r when it is completely factored?

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

<span>6(p^2)r[5(p^2)(q^3) + 7 - 3(q^2)] </span>while the GCFs are 6, p^2, and r
Hope this Helps (:

solmaris [256]3 years ago

7 0

Answer:

The answer is D

Step-by-step explanation:

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What are the vertices of A'B'C if ABC is dilated by a scale factor of 2?

malfutka [58]

The vertices of A'B'C' if A(0, 10), B(8, 6), C(4, 2) is dilated by a scale factor of 2 are;

C. A'(0, 20), B'(16, 12), C'(8, 4)

<h3>Which method can be used to find the vertices of A'B'C'?</h3>

Given that triangle ABC is dilated by a scale factor of 2, we have;

A'B' = 2 × AB

A'C' = 2 × AC

B'C' = 2 × BC

Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5

Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5

Length of BC = √((8-4)^2 + (6-2)^2) = 4•√2

By multiplying the given coordinates by the scale factor, we have;

A' = 2 × (0, 10) = (0, 20)

B' = 2 × (8, 6) = (16, 12)

C' = 2 × (4, 2) = (8, 4)

A'B' = √((16-0)^2 + (12-20)^2) = 8•√5

A'C' = √((8-0)^2 + (4-20)^2) = 8•√5

B'C' = √((16-8)^2 + (12-4)^2) = 8•√2

Therefore when we have;

A'(0, 20), B'(16, 12), C'(8, 4), we get;

A'B' = 2 × AB

A'C' = 2 × AC
B'C' = 2 × BC

The correct option is therefore;

C. A'(0, 20), B'(16, 12), C'(8, 4)

Learn more about finding the distance between points on the coordinate plane here:

brainly.com/question/7243416

#SPJ1

5 0

1 year ago

Which of the following represents the difference between ten and a number is the sum of eight and a number"?

Alona [7]

9514 1404 393

Answer:

Step-by-step explanation:

The difference between 10 and a number is (10 -N).

The sum of 8 and a number is (8 +N).

In this context, "is" means "equals," so we have ...

10 -N = 8 +N

7 0

3 years ago

Graph the following equation: y = -4x + 2

padilas [110]

To find graph this, you need to understand the equation.

The formula is y=mx+b, m being slope and b being y-intercept.

We start out graphing by finding where the y-intercept is--and we see that our intercept is 2. Place a point on (0, 2).

Now, we need to add our slope. Start at (0, 2) and go up 4 units. Next go to the LEFT (we have a negative slope, remember?). Continue this pattern.

It should look like this once it's done:

6 0

3 years ago

Read 2 more answers

What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)

viva [34]

The slope-intercept form of a line:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept$

We have:

$(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5$

Substitute:

$m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}$

$y=\dfrac{3}{4}x+b$

Put the values of coordinates of the point (1, 5) to the equation of a line:

$5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}$

Answer: $y=\dfrac{3}{4}x+4\dfrac{1}{4}$

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3 years ago

Paige has 3 rain coats, a pink one, a red one, and a yellow one. She has blue rain boots, green rain boots, and 1 yellow umbrell

Harlamova29_29 [7]

The combination is 4/12

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3 years ago