(I need this asap) Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help show that circle A is similar to circle B?

A. Dilate circle A by a scale factor of 2.
B. Translate circle A using the rule (x + 1, y − 1).
C. Rotate circle A 180° about the center.
D. Reflect circle A over the y-axis.

Step-by-step explanation:

Similar circles should have similar sizes.

Only one of the transformations listed changes the size. It is dilation.

Circle A has a radius of 5, after dilation by a scale factor of 2 its radius will be 5*2 = 10, similar to circle B.

The other options are only translating the circle A, so are incorrect.

Correct choice is A.

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

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.