Answer:
b
Step-by-step explanation:
(-12+-2)/2 ,(6+-5)/2
Answer:
I need a picture.
Step-by-step explanation:
Please
The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A =
and B = ![(x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29)
at a ratio
from A then:
1. ![x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_%7B1%7Dm_%7B2%7D%2Bx_%7B2%7Dm_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
2. ![y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7By_%7B1%7Dm_%7B2%7D%2By_%7B2%7Dm_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
∵ P partitions AB in the ratio 3 : 4
∴
= 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ ![x=\frac{(-9)(4)+(5)(3)}{3+4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28-9%29%284%29%2B%285%29%283%29%7D%7B3%2B4%7D)
∴ ![x=\frac{-36+15}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-36%2B15%7D%7B7%7D)
∴ ![x=\frac{-21}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-21%7D%7B7%7D)
∴ x = -3
The x-coordinate of P is -3
∵ ![y=\frac{(-9)(4)+(-2)(3)}{3+4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%28-9%29%284%29%2B%28-2%29%283%29%7D%7B3%2B4%7D)
∴ ![y=\frac{-36+(-6)}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-36%2B%28-6%29%7D%7B7%7D)
∴ ![y=\frac{-42}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-42%7D%7B7%7D)
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
Learn more:
You can learn more about the mid-point of a segment in brainly.com/question/5223123
#LearnwithBrainly
Answer:
Answer:
![x=\frac{75}2](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B75%7D2)
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular ![AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2](https://tex.z-dn.net/?f=AE%3ACE%3DBE%3ADE%20%5Crightarrow%2046%3A30%3D%28x%2B20%29%3Ax%20%5Crightarrow%2046x%3D30%28x%2B20%29%20%5Crightarrow%2023x%3D15x%2B300%20%5Crightarrow%208x%3D300%5Crightarrow%20%20x%3D%5Cfrac%7B75%7D2)
She will be able to fill 10 cups with kool-aid because 5 ÷ 1/2 = 10