Answer:
h(-2) = 1
Step-by-step explanation:
h(t)=t^2+2t+1
h(-2) = (-2)^2 +2(-2) +1
= 4 -4 +1
= 1
Answer:
5m=85
Step-by-step explanation:
Mai's savings is represented by m, which is multiplied by 5 (5m). Then, the product of that is 85 (5m=85).
1 yard ≈ 0.9144 m
Therefore,
10 yards = 10*0.9144 m = 9.144 m
13 yards = 13*0.9144 m = 11.8872 m
Area to be covered = 9.144*11.8872 = 108.697 m^2
Therefore, Samantha will require approximately 109 m^2 of carpet.
By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.
<h3>How to find the missing side of a right triangle</h3>
In this question we know the lengths of two sides of the <em>right</em> triangle. By Pythagorean theorem we get the length of the missing side:
a² + b² = c²
b² = c² - a²
b = √(c² - a²)
b = √(37² - 12²)
b = 35
By using Pythagoran theorem, the length of the third side of the triangle ABC is 35 centimeters.
To learn more on Pythagorean theorem: brainly.com/question/26183488
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Answer:
![3x-2y+8=0](https://tex.z-dn.net/?f=3x-2y%2B8%3D0)
Step-by-step explanation:
The slope of the line that goes through the points (-2, 1) and (0, 4) is
![\frac{4-1}{0-(-2)} = \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4-1%7D%7B0-%28-2%29%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
The slope of the line that goes through the points (x, y) and (0, 4) is
![\frac{4-y}{0-x} = \frac{4-y}{-x}](https://tex.z-dn.net/?f=%5Cfrac%7B4-y%7D%7B0-x%7D%20%3D%20%5Cfrac%7B4-y%7D%7B-x%7D)
So ![\frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B4-y%7D%7B-x%7D%5C%5C-3x%3D2%284-y%29%3D8-2y%5C%5C3x-2y%2B8%3D0)