Graph the image of the given triangle under a dilation with a scale factor of 1/2 and center of dilation (0,0).

Remark

The easiest way to do this is just to find the x and y intercepts when the center of dilation is 0,0 and the scale factor is 1/2

Solution

On the x axis, the value of x is 8 before the dilation takes place. When you dilate by 1/2 x becomes 8*1/2 = 4

On the y axis, the value of y is -6 before the dilation takes place. When you dilate by 1/2, y becomes -6*1/2 = -3

Now join the points (4,0) and (0,-3) That is your new triangle with a dilation of 1/2.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer