Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo. What were the dimensions of the original photo?
pls hurry

4 inches by 4 inches
6 inches by 6 inches
10 inches by 10 inches
12 inches by 12 inches

The correct answer is:

6 inches by 6 inches

Step-by-step explanation:

Given that

Area of Enlarged photo = 256 square inches

Let x be the side of original photo

then the equation for area of new enlarged photo will be:

We have to solve the given equation to find the side length of original photo

Taking square root on both sides

Subtracting 10 from both sides

So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.

Hence,

The correct answer is:

6 inches by 6 inches

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.