Answer:
X=10
Step-by-step explanation:
2x-,8<12
2x>12+ 8
2x>20
x>10
Answer:
12m + 14g ≥ 250
m + g ≤ 40
Step-by-step explanation:
You can only work a max of 40 hours so m + g has to be less than 40.
You want to make greater than $250. So $12m and $14g must add up greater than 250.
A.
Step-by-step explanation:
A is a rational number because it is a numerator p and a non-zero denominator w
Answer:
|x - 1| ≤ 2
Step-by-step explanation:
b = (-1+3)/2 = 1
c = 3-1 = 2
|x - 1| ≤ 2
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.
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D15%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B96%7D%20%5C%5C%20c%5Capprox9.8%20%5Cend%7Bgathered%7D)
So, the length of the black segment is 9.8 feet.
Now, we find the yellow line length
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B6%5E2%20%5C%5C%20c%5E2%3D16%2B36%20%5C%5C%20c%5E2%3D52%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B52%7D%20%5C%5C%20c%5Capprox7.2%20%5Cend%7Bgathered%7D)
<h2>Therefore, the length of the yellow line is 7.2 feet.</h2>
