Apicture has a width that is 17 inches shorter than the length, and its total area is 480 square inches. find the dimensions of the picture. if x represents the length of the picture, which of the following equations is a model for the given word problem?

Length: 32in

Width: 15in

Step-by-step explanation:

Since the width of the picture is 17 inches shorter we can assume the picture is a rectangle. A rectangle's area is calculated using the following formula.

Where A is the area, L is the length, and W is the width. Since we are giving the area and are told that the width is 17 inches shorter than the length, we can plug that into the equation using the variables shown in the picture below and solve for x.

What we have here is a Quadratic Equation in which we will need the cuadratic formula as seen in the picture below to solve. We plus our equation into the Quadratic formula and solve it.

Since The width of the triangle is 17 less than the width we see that the width CANNOT be 15. So the only answer left is x = 32

This leaves us width the Length being 32 and the width being 15

I hope this answered your question. If you have any more questions feel free to ask away at .

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all