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1) a triangle with area 10 cm2 is dilated by a factor of 2.

what is the area of the dilated image?

cm2

2) a pyramid with the volume of 1000 ft^3 is dilated by a factor of 1.5.
what is the volume of the scaled image?

3) a cylinder with the volume 22.8 mm^3 is dilated so that its new volume is 615.6mm^3.
by what factor was the cylinder dilated?

4) a sphere with volume 875in^3 is dilated by a factor of 1/5.
what is the volume of the scaled image?

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9