Answer:
a. {7,14}
b. {10,17,24,31}
c. (no)
Step-by-step explanation:
c. because for two different values of domain there is a single value of codomain (range )
Answer:
x = -11
Step-by-step explanation:
First, you have to isolate x to one side. To do this, you have to subtract 9 on both sides like this
x + 9 - 9 = -2 - 9
So this will now be
x = -11
There you go!
Answer:
6÷ (-2) = (-3)
Step-by-step explanation:
i used a calculator
but good question
Answer:
7. C. 6
8. H. √34
9. A. (1, 3.5)
10. J. 10
Step-by-step explanation:
7. AB = 2y, BC = 6y, AC = 48
AB + BC = AC (segment addition theorem)
Substitute the above values into the equation
2y + 6y = 48
Solve for y
8y = 48
Divide both sides by 8
8y/8 = 48/8
y = 6
8. Distance between P(2, 8) and Q(5, 3):
![PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20PQ%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Let,
![P(2, 8) = (x_1, y_1)](https://tex.z-dn.net/?f=%20P%282%2C%208%29%20%3D%20%28x_1%2C%20y_1%29%20)
![Q(5, 3) = (x_2, y_2)](https://tex.z-dn.net/?f=%20Q%285%2C%203%29%20%3D%20%28x_2%2C%20y_2%29%20)
![PQ = \sqrt{(5 - 2)^2 + (3 - 8)^2}](https://tex.z-dn.net/?f=%20PQ%20%3D%20%5Csqrt%7B%285%20-%202%29%5E2%20%2B%20%283%20-%208%29%5E2%7D%20)
![PQ = \sqrt{(3)^2 + (-5)^2}](https://tex.z-dn.net/?f=%20PQ%20%3D%20%5Csqrt%7B%283%29%5E2%20%2B%20%28-5%29%5E2%7D%20)
![PQ = \sqrt{9 + 25}](https://tex.z-dn.net/?f=%20PQ%20%3D%20%5Csqrt%7B9%20%2B%2025%7D%20)
![PQ = \sqrt{34}](https://tex.z-dn.net/?f=%20PQ%20%3D%20%5Csqrt%7B34%7D%20)
9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:
![M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7Bx_1%20%2B%20x_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%20%2B%20y_2%7D%7B2%7D%29%20)
Let ![L(8, 5) = (x_1, y_1)](https://tex.z-dn.net/?f=%20L%288%2C%205%29%20%3D%20%28x_1%2C%20y_1%29%20)
![B(-6, 2) = (x_2, y_2)](https://tex.z-dn.net/?f=%20B%28-6%2C%202%29%20%3D%20%28x_2%2C%20y_2%29%20)
Thus:
![M(\frac{8 + (-6)}{2}, \frac{5 + 2}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B8%20%2B%20%28-6%29%7D%7B2%7D%2C%20%5Cfrac%7B5%20%2B%202%7D%7B2%7D%29%20)
![M(\frac{2}{2}, \frac{7}{2})](https://tex.z-dn.net/?f=%20M%28%5Cfrac%7B2%7D%7B2%7D%2C%20%5Cfrac%7B7%7D%7B2%7D%29%20)
![M(1, 3.5)](https://tex.z-dn.net/?f=%20M%281%2C%203.5%29%20)
10. M = -10, N = -20
Distance between M and N, MN = |-20 - (-10)|
= |-20 + 10| = |-10|
MN = 10