Answer:
(-12 , 2)
Step-by-step explanation:
<u>GIVEN :-</u>
- Co-ordinates of one endpoint = (-4 , -10)
- Co-ordinates of the midpoint = (-8 , -4)
<u>TO FIND :-</u>
- Co-ordinates of another endpoint.
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
<em><u>Section Formula :-</u></em>
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =
![(x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )](https://tex.z-dn.net/?f=%28x%20%2C%20y%29%20%3D%20%28%5Cfrac%7Bx%5E2%20%2B%20x%5E1%7D%7B2%7D%20%2C%5Cfrac%7By%5E2%20%2B%20y%5E1%7D%7B2%7D%20%29)
<u>PROCEDURE :-</u>
Let the co-ordinates of another endpoint be (x , y)
So ,
![(-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )](https://tex.z-dn.net/?f=%28-8%20%2C%20-4%29%20%3D%20%28%5Cfrac%7B-4%20%2B%20x%7D%7B2%7D%20%2C%20%5Cfrac%7B-10%20%2B%20y%7D%7B2%7D%20%29)
First , lets solve for x.
![=> \frac{x - 4}{2} = -8](https://tex.z-dn.net/?f=%3D%3E%20%5Cfrac%7Bx%20-%204%7D%7B2%7D%20%3D%20-8)
![=> x - 4 = -8 \times 2 = -16](https://tex.z-dn.net/?f=%3D%3E%20x%20-%204%20%3D%20-8%20%5Ctimes%202%20%3D%20-16)
![=> x = -16 + 4 = -12](https://tex.z-dn.net/?f=%3D%3E%20x%20%3D%20-16%20%2B%204%20%3D%20-12)
Now , lets solve for y.
![=> \frac{y - 10}{2} = -4](https://tex.z-dn.net/?f=%3D%3E%20%5Cfrac%7By%20-%2010%7D%7B2%7D%20%3D%20-4)
![=> y - 10 = -4 \times 2 = -8](https://tex.z-dn.net/?f=%3D%3E%20y%20-%2010%20%3D%20-4%20%5Ctimes%202%20%3D%20-8)
![=> y = -8 + 10 = 2](https://tex.z-dn.net/?f=%3D%3E%20y%20%3D%20-8%20%2B%2010%20%3D%202)
∴ The co-ordinates of another endpoint = (-12 , 2)
Answer:
3x-3
Step-by-step explanation:
You have to combine like terms. <em>x</em> and 2<em>x</em> have the same variable, so this equals 3x, and then you subtract 3 so:
x-3=2x-3-x
=3x-3
Answer:
103
Step-by-step explanation:
We substitute x with 5:
![4(5)^2+3](https://tex.z-dn.net/?f=4%285%29%5E2%2B3)
Solve the exponent first:
![5^2 = 25](https://tex.z-dn.net/?f=5%5E2%20%3D%2025)
<em>Note: We are using order of operations (consecutively)</em>
- <em>Parentheses </em>
- <em>Exponents</em>
- <em>Multiplication</em>
- <em>Division</em>
- <em>Addition </em>
- <em>Subtraction</em>
Multiply:
25 * 4 = 100
Add:
100 + 3 = 103
Our answer is 103
<em />
Step-by-step explanation:
Option A is the correct answer
f(x)=8x+2
put x=-4
then out =8(-4)+2 = -32+2= -30
Answer:
3/10 ÷ 7/9 = 3/10 • 9/7
Step-by-step explanation:
KCF for division.
7/9= 9/7
÷=x