-2x + 4
(Substitute -3 in the ‘x’ spot)
-2(-3) + 4
6 + 4 = 10
Answer:
10
Since, the coordinates of the midpoint of line GH are M
.
The coordinates of endpoint G are (-4,1)
We have to determine the coordinates of endpoint H.
The midpoint of the line segment joining the points
and
is given by the formula
.
Here, The endpoint G is (-4,1) So, ![x_1 = -4 , y_1=1](https://tex.z-dn.net/?f=x_1%20%3D%20-4%20%2C%20y_1%3D1)
Let the endpoint H be ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
The midpoint coordinate M is
.
So, ![\frac{-13}{2} = \frac{-4+x_2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B2%7D%20%3D%20%5Cfrac%7B-4%2Bx_2%7D%7B2%7D)
![{-13} = {-4+x_2}](https://tex.z-dn.net/?f=%7B-13%7D%20%3D%20%7B-4%2Bx_2%7D)
![{-13}+4 = {x_2}](https://tex.z-dn.net/?f=%7B-13%7D%2B4%20%3D%20%7Bx_2%7D)
![{x_2}=9](https://tex.z-dn.net/?f=%7Bx_2%7D%3D9)
Now, ![-6 = \frac{1+y_2}{2}](https://tex.z-dn.net/?f=-6%20%3D%20%5Cfrac%7B1%2By_2%7D%7B2%7D)
![-12 = {1+y_2}](https://tex.z-dn.net/?f=-12%20%3D%20%7B1%2By_2%7D)
![y_2= -13](https://tex.z-dn.net/?f=y_2%3D%20-13)
So, the other endpoint H is (-9,-13).
The game store is farther from the hotel than the magic shop is. They are both opposite directions away from the garbage dump, so you need to add those two together.
16.5+14.7=31.2
31.2 is more than 30.5
hope this helps
7 centimeters is a possible length for the third side ⇒ B
Step-by-step explanation:
Let us revise the triangle Inequality Theorem
- The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
- To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle
Assume that the length of the third side is x cm
∵ The length of two sides are 7 cm and 10 cm
∵ The length of the third side is x cm
- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)
∴ x + 7 > 10
- Subtract 7 from both sides
∴ x > 3
- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)
∵ 7 + 10 > x
∴ 17 > x
∴ x < 17
- By using one inequality for x (combined the two inequalities in one)
∴ 3 < x < 17
That means the length of the third side is any number between 3 and 17
There is only one answer between 3 and 17
∵ 7 is between 3 and 17
∴ The length of the third side could be 7 cm
7 centimeters is a possible length for the third side
Learn more:
You can learn more about triangles in brainly.com/question/4599754
#LearnwithBrainly
Answer:
Correct option: d -> 40,320
Step-by-step explanation:
To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.
The word "grateful" has 8 different letters, so the number of arrangements of letters is:
8! = 8*7*6*5*4*3*2 = 40,320 different arrangements
Correct option: d