Answer: 124
Explanation: 4[3(10-7)+(11•2)]
Parentheses - 4[3(3)+(22)]
Parentheses - 4(9+22)
Parentheses - 4(31)
Multiplication - 124
"The points" are not given, so no answer is possible.
Answer:
![\frac{7}{2\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%5Csqrt%7B2%7D%20%7D)
Step-by-step explanation:
substitute 2 in for x. the square root of 2 is already in radical form
Answer:
![114.8\ ft^{2}](https://tex.z-dn.net/?f=114.8%5C%20ft%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
![A=\frac{1}{2}(b1+b2)h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28b1%2Bb2%29h)
In this problem we have
![b1=12\ ft](https://tex.z-dn.net/?f=b1%3D12%5C%20ft)
![b2=15\ ft](https://tex.z-dn.net/?f=b2%3D15%5C%20ft)
----> the height of the trapezoid is the perpendicular distance between the bases
substitute the values
![A=\frac{1}{2}(12+15)(8.5)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2812%2B15%29%288.5%29)
![A=\frac{1}{2}(27)(8.5)=114.75\ ft^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2827%29%288.5%29%3D114.75%5C%20ft%5E%7B2%7D)
Round to the nearest tenth
![114.75=114.8\ ft^{2}](https://tex.z-dn.net/?f=114.75%3D114.8%5C%20ft%5E%7B2%7D)
Answer:
O True
Step-by-step explanation:
If we substitute (x, y) = (0, 0) into both inequalities, we have ...
0 < 2·0 +4 ⇒ 0 < 4 . . . true
0 > -2·0 -2 ⇒ 0 > -2 . . . true
The point (0, 0) satisfies both inequalities, so is contained in the solution set.