Apicture inside a frame is 2 inches longer than it is wide. the picture is in a frame that has a width of 3 inches on each side of the picture. if the area of the picture, including the frame, is 195 inches^2, find the dimensions of the frame.

The dimensions of the frame are 15 in x 13 in

Step-by-step explanation:

Let

x ----> the length of the picture

y ----> the width of the picture

we know that

-----> equation A

The area of the picture, including the frame is

so

----> equation B

substitute equation A in equation B

solve for y

solve the quadratic equation by graphing

The solution is y=7 in

see the attached figure

Find the value of x

Find the dimensions of the frame

therefore

The dimensions of the frame are 15 in x 13 in

4 & 3

step-by-step explanation:

factor of 108=2×2×3×3×3=2×2×3^3=the number is 4 because 2 only occurs 2 times and 2×2=4 and factor of 2187=3^3×3^3×3=the number is 3 because 3 onlyvoccur 1 time.

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation: