Which line has an x-intercept of 4?
4x+y=8
-4x + y= 8
2x+ 2y = -8
-2x+2y= -8

Explanation:

If we plug in y = 0 and solve for x, we'll get the x intercept.

Doing so for choice A has us get

4x+y = 8

4x+0 = 8

4x = 8

x = 8/4

x = 2

So the x intercept is 2. We can rule out choice A

Through similar steps, choice B has an x intercept of x = -2, so we can rule that out as well.

Choice C leads to x = -4, so that's not the answer either.

Choice D has an x intercept of x = 4 since,

-2x+2y = -8

-2(4)+2(0) = -8

-8+0 = -8

-8 = -8

So that confirms choice D is the answer.

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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