Answer:
B, C and I think D
Step-by-step explanation:
Answer:
31.13
Step-by-step explanation:
If you look carefully, you will find a semicircle and a triangle.
The total area is =
![\frac{\pi r^{2}}{2} + \frac{1}{2} \times base \times height\\](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20r%5E%7B2%7D%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20base%20%5Ctimes%20height%5C%5C)
- r = 4 - 0 = 4
- base = |-4-0 | = 4
- height = 14 - 9 = 5
So if we put the values:
![\frac{\pi \times 4^{2}}{2} + \frac{1}{2} \times 4 \times 3\\= 31.13](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%5Ctimes%204%5E%7B2%7D%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%204%20%5Ctimes%203%5C%5C%3D%2031.13)
-x^2 + 9 - 3x^2 - 11x + 4
-4x^2 - 11x + 13
Answer:
Step-by-step explanation:
<u>Given line:</u>
It has a slope of 2/3.
<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>
<u>Find its equation provided it passes through the point (4, - 2):</u>
- y - (-2) = - 3/2(x - 4)
- y + 2 = - 3/2(x - 4)
Answer:
(-2, -4)
Step-by-step explanation:
Given:
The system of equations to solve is given as:
![y=2x\\\\x+y=-6](https://tex.z-dn.net/?f=y%3D2x%5C%5C%5C%5Cx%2By%3D-6)
In order to solve this system of linear equations, we use substitution method.
In substitution method, we substitute the value of any one variable in the other equation.
So, we substitute the value of 'y' from first equation in the second equation.
This gives,
![x+2x=-6\\\\3x=-6](https://tex.z-dn.net/?f=x%2B2x%3D-6%5C%5C%5C%5C3x%3D-6)
Dividing both sides by 3, we get:
![\frac{3x}{3}=\frac{-6}{3}\\\\x=-2](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B-6%7D%7B3%7D%5C%5C%5C%5Cx%3D-2)
Now, ![y=2x=2\times -2=-4](https://tex.z-dn.net/?f=y%3D2x%3D2%5Ctimes%20-2%3D-4)
Therefore, the solution is (-2, -4)