Answer:
a = -20
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
8(a + 30)=80
Use the distributive property.
8a + 240 = 80
Subtract both sides by 240
8a = -160
Divide both sides by 8.
a = -20
Your final answer would be a = -20
Not a function, because there is no constant
Answer:
Question 6. M(5, 2)
Question 7. M(-6, 0)
Step-by-step explanation:
1. C(3, -5) and D(7, 9)
Use the midpoint formula:
(x1 + x2/2, y1 + y2/2)
(3 + 7/2, -5 + 9/2)
(10/2, 4/2)
(5, 2)
2. S(-8, -6) and T(-4, 6)
Use the midpoint formula:
(x1 + x2/2, y1 + y2/2)
(-8 + -4/2, -6 + 6/2)
(-12/2, 0/2)
(-6, 0)
Answer:
Step-by-step explanation:
We begin by solving for x in term of y
We can use the disk method to calculate the volume of rotation around the y axis
Where 
![V = \int\limits^5_4 {\pi \left(\frac{e^y}{3}\right)^2} \, dy\\V = \frac{\pi}{9}\int\limits^5_4 {e^{2y}} \, dy\\\\V = \frac{\pi}{9}\left[\frac{e^{2y}}{2}\right]^5_4\\V = \frac{\pi}{9}(e^{10}/2 - e^8/2) = \frac{\pi}{18}(e^{10} - e^8)\\ V = \frac{\pi}{18}19045.5 \approx 3324](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E5_4%20%7B%5Cpi%20%5Cleft%28%5Cfrac%7Be%5Ey%7D%7B3%7D%5Cright%29%5E2%7D%20%5C%2C%20dy%5C%5CV%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%5Cint%5Climits%5E5_4%20%7Be%5E%7B2y%7D%7D%20%5C%2C%20dy%5C%5C%5C%5CV%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%5Cleft%5B%5Cfrac%7Be%5E%7B2y%7D%7D%7B2%7D%5Cright%5D%5E5_4%5C%5CV%20%3D%20%5Cfrac%7B%5Cpi%7D%7B9%7D%28e%5E%7B10%7D%2F2%20-%20e%5E8%2F2%29%20%3D%20%5Cfrac%7B%5Cpi%7D%7B18%7D%28e%5E%7B10%7D%20-%20e%5E8%29%5C%5C%20V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B18%7D19045.5%20%5Capprox%203324)
Answer: 21
Step-by-step explanation:
AC/JK = AB/JF
x/7 = 24/8
x/7 = 3
x = 21
