Please answer ASAP

Square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to
form square A'B'C'D'. What is the side length of square A'B'C'D' ?

The side of square A'B'C'D' is 16 inches

Step-by-step explanation:

Given

Length of Square ABCD = 4 inches

Dilated with a scale factor of 4

Required

Length of square A'B'C'D'

To dilate something means to enlarge or reduce the size of that thing, depending on the scale factor.

Consider the following conditions

Having mentioned the conditions of dilation, Here, the "thing being dilated" is a square (ABCD) on a scale factor of 4.

The scale factor is greater than 1; so, the new shape (A'B'C'D) will be bigger than the previous shape (ABCD)

Now, how is the new size calculated?

The new size is calculated by multiplying the length of the previous shape by its scale factor;

In other words,

New Length = Old Length * Scale Factor

Where

Old Length = Length of ABCD = 4 inches

Scale Factor = 4

By Substitution,

New Length = 4 inches * 4

New Length = 16 inches

Hence, the side of square A'B'C'D' is 16 inches

360/29

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb