Part C: Each side of the hanger represents a part of the equation. Since the hanger is level, both sides are equal. For that reason, you set the sides equal to each other. Since you know what the circle and triangle weight, it’s easy to find the weight of the square
J is on -8, so it is 8 places to get to zero
K is on 4
so you have 8 + 4 = 12 units
Given:
Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).
Perimeter of this triangle is to be no more than 77 feet.
To find:
The inequality and solution of the inequality.
Solution:
Perimeter of a triangle is the sum of all side.
Perimeter of given triangle ![=(4x+10)+(2x-5)+18](https://tex.z-dn.net/?f=%3D%284x%2B10%29%2B%282x-5%29%2B18)
Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.
![(4x+10)+(2x-5)+18\leq 77](https://tex.z-dn.net/?f=%284x%2B10%29%2B%282x-5%29%2B18%5Cleq%2077)
![(4x+2x)+(10-5+18)\leq 77](https://tex.z-dn.net/?f=%284x%2B2x%29%2B%2810-5%2B18%29%5Cleq%2077)
![6x+23\leq 77](https://tex.z-dn.net/?f=6x%2B23%5Cleq%2077)
![6x\leq 77-23](https://tex.z-dn.net/?f=6x%5Cleq%2077-23)
![6x\leq 54](https://tex.z-dn.net/?f=6x%5Cleq%2054)
Divide both sides by 6.
![x\leq \dfrac{54}{6}](https://tex.z-dn.net/?f=x%5Cleq%20%5Cdfrac%7B54%7D%7B6%7D)
![x\leq 9](https://tex.z-dn.net/?f=x%5Cleq%209)
Therefore, the required inequality is
and the solution is
.
Answer:
Point P = (-9,11)
Step-by-step explanation:
Point M: (1,3) X and Y have the 2 on the bottom right of them
Midpoint N: (-5,7)
Point P: (X*2, Y*2)
( 1 + X*2 3 + Y*2 )
( _______ ________ ) = (-5 , 7)
( 2 , 2 )
( 1 + X*2 )
( _____ ) = -5
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being
divided on the bottom. Also, multiply the -5 by 2 and you get -10
1 + X*2 = -10
+1 +1
__________
X*2 = -9
X = -9
( 3 + Y*2 )
( ______ ) = 7
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being divided on the bottom. Also, multiply the 7 by 2 and you get 14
3 + Y*2 = 14
-3 -3
_________
Y*2 = 11
Y = 11
Hope this helps, good luck! :)
Answer:
12 and 38, maybe 42
Step-by-step explanation: