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3 years ago

PLEASE MATH HELP WILL GIVE BRAINLIEST

Mathematics

2 answers:

allsm [11]3 years ago

8 0

the answer is actually -3

tatiyna3 years ago

3 0

Answer: SF = -3

Step-by-step explanation:

Looking at the figure and its image, three things are immediately obvious.....

The image is bigger

The image is inverted.

The figure and the image have a common point.

The common point is the center of dilation. (-4, -4)

The fact that it lies BETWEEN the image and the figure means that the SF is a negative number.

This accounts for the fact that the image is inverted.

To find the Scale Factor divide

$\frac{a side in the image}{the same side in the figure}$

Looking at the horizontal lines we see..

$\frac{a side in the image}{the same side in the figure}$ = - $\frac{6}{2}$ = -3

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3 years ago

Match the base and height to the volume of the prism.<br><br> B = 6 square units<br> h = 12 units

Finger [1]

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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7 0

3 years ago

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Solve 3x+2y=7 and x-4y=-21 by using substitution

noname [10]

$3x+2y=7 \\
x-4y=-21 \\ \\
\hbox{solve the second equation for x:} \\
x-4y=-21 \\
x=4y-21 \\ \\
\hbox{substitute 4y-21 for x in the first equation:} \\
3(4y-21)+2y=7 \\
12y-63+2y=7 \\
14y=7+63 \\
14y=70 \\
y=\frac{70}{14} \\
y=5 \\ \\
x=4y-21=4 \times 5-21=20-21=-1 \\ \\
\boxed{(x,y)=(-1,5)}$

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3 years ago

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