For something to be a function, the input (x value) can only have one output (y value). If an x value has more than one y value, it is not a function.
A.) When x = 1, it has 5 y values. This is not a function
B.) -2 and -1 have two y values. This is not a function
C.) 1 and 2 have two y values. This is not a function
D.) Each input has only one output. This is a function. (Inputs can share the same outputs)
Your answer is D
Answer:
minus four point three one three
Answer:
Yes, the slopes of AB and BC are the same.
Step-by-step explanation:
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Answer:
A
Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:
![x = \frac{mx_2 + nx_1}{m + n}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%20%2B%20n%7D%20)
![y = \frac{my_2 + ny_1}{m + n}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%20%2B%20n%7D%20)
Where,
![M(2, 1) = (x_1, y_1)](https://tex.z-dn.net/?f=%20M%282%2C%201%29%20%3D%20%28x_1%2C%20y_1%29%20)
![P(12, 6) = (x_2, y_2)](https://tex.z-dn.net/?f=%20P%2812%2C%206%29%20%3D%20%28x_2%2C%20y_2%29%20)
![m = 3, n = 2](https://tex.z-dn.net/?f=%20m%20%3D%203%2C%20n%20%3D%202%20)
Plug in the necessary values to find the coordinates of K:
![x = \frac{mx_2 + nx_1}{m + n}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%20%2B%20n%7D%20)
![x = \frac{3(12) + 2(2)}{3 + 2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B3%2812%29%20%2B%202%282%29%7D%7B3%20%2B%202%7D%20)
![x = \frac{36 + 4}{5}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B36%20%2B%204%7D%7B5%7D%20)
![x = \frac{40}{5}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B40%7D%7B5%7D%20)
![x = 8](https://tex.z-dn.net/?f=%20x%20%3D%208%20)
![y = \frac{my_2 + ny_1}{m + n}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%20%2B%20n%7D%20)
![y = \frac{3(6) + 2(1)}{3 + 2}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%286%29%20%2B%202%281%29%7D%7B3%20%2B%202%7D%20)
![y = \frac{18 + 2}{5}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B18%20%2B%202%7D%7B5%7D%20)
![y = \frac{20}{5}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B20%7D%7B5%7D%20)
![y = 4](https://tex.z-dn.net/?f=%20y%20%3D%204%20)
The coordinates of K = (8, 4)