The two solids below are similar, and the ratio between the lengths of their edges is 4: 5. what is the ratio of their surface areas? a.16: 25 b.16: 20 c.5: 4 d.64: 125

Solution:

Keep in Mind, when two shapes or polygons are similar , the ratio of their areas is equal to square of their corresponding sides or edges.

As given, Ratio of the edges of two solids =

Ratio of their Surface areas

= ( Ratio of the edges of two solids)²=

=

Option A: 16: 25 is true.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

-1

step-by-step explanation: