Maria is installing gutters on her rectangular shed that measures 10 ft by 9 ft she has 23 ft of gutter already and need to purchase more to complete of gutter all the way around the shed the store sells gutters in length of 5 feet how many lenths of gutter does she need to buy to finish the shed

Maria needs 3 lengths of gutter of finish the shed.

Step-by-step explanation:

We need to calculate the perimeter of the rectangular shed to know how much  5 feet gutter is needed.

The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft

p = 2(10 + 9) = 2(19) = 38 ft

Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.

So 23 + 5x = 38

collecting like terms, we have

5x = 38 - 23

5x = 15

dividing through by 5 we have

5x/5 = 15/5

x = 15/5

x = 3

So, Maria needs 3 lengths of gutter of finish the shed.

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

Plug in the two given points (0,-5) and (5,1)

Therefore, the slope of the line is . Plug this into :

2) Determine the y-intercept (b)

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

I hope this helps!