If the function k(x) goes through the point (1,10) then the function 2 times k(x) must go through what point?

Step-by-step explanation:

Given:

The function passes through the point .

For function to transform to , the graph has to stretch in the y direction by a factor of 2.

Therefore, the point will have to stretch by factor 2.

Stretching by factor 2 means the value of the point has to get doubled.

The value of the point is 10.

So, new value after stretch will be .

Therefore, the graph of must pass through .

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.