To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.

$c^2=a^2+b^2$

Where a = 4ft and b = 9ft.

$\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}$

So, the length of the black segment is 9.8 feet.

Now, we find the yellow line length

$c^2=a^2+b^2$

Where a = 4 and b = 6.

$\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}$ <h2>Therefore, the length of the yellow line is 7.2 feet.</h2>

8 0

1 year ago

Can someone please help me with 13 and 14, please show work, thx :)

Shalnov [3]

13.
1st: split the 1 shape into 2 shapes. (spit across to where you see one right angle(top), and a trapezoid(bottom)

2nd: now what i did was fill that gap to where the total height is 9 and the total length is 7. ( if you don't want to do that it is fine )

3rd: for the top do 5 times 2 = 10

4th: for the bottom do 4 times 5 = 20

5th: add 10 (top) and 20 (bottom) = 30

7 0

3 years ago

Find the slope and y-intercept of the line.

sergey [27]

slope-intercept formula: y = mx + b

m = slope

b = y-intercept

your equation: y = 4/3x - 3

m = 4/3

b = -3

so, the answer would be the last option.

hope this helps, have a great day/night :)

4 0

3 years ago