I don't have my calculator handy just now. But just looking at that problem, why don't you try +20 and -45 and see if they do the job.
Answer:
Below in bold.
Step-by-step explanation:
Because the 2 sides marked with the double lines are equal:
5y-1 = 2y+11
3y = 12
y = 4.
Also :
3x-5 + 2(2x+5) = 180
3x - 5 + 4x + 10 = 180
7x = 180 + 5 -10
7x = 175
x = 175/7 = 25.
Sin (A) = BC/AB = 21/75= 7/25
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
Answer:
![x =12\ or\ -8](https://tex.z-dn.net/?f=x%20%3D12%5C%20or%5C%20-8)
Step-by-step explanation:
Given
![(x_1,y_1) = (6,5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%286%2C5%29)
![(x_2,y_2) = (8,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%288%2C2%29)
![(x_3,y_3) = (x,11)](https://tex.z-dn.net/?f=%28x_3%2Cy_3%29%20%3D%20%28x%2C11%29)
![Area = 15](https://tex.z-dn.net/?f=Area%20%3D%2015)
Required
Find x
The area is calculated as thus:
![Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%7Cx_1%28y_2%20-%20y_3%29%20%2B%20x_2%28y_3%20-%20y_1%29%20%2B%20x_3%28y_1%20-%20y_2%29%7C)
Substitute values
![15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|](https://tex.z-dn.net/?f=15%20%3D%20%5Cfrac%7B1%7D%7B2%7D%7C6%2A%282%20-%2011%29%20%2B%208%2A%2811%20-%205%29%20%2B%20x%285%20-%202%29%7C)
![15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|](https://tex.z-dn.net/?f=15%20%3D%20%5Cfrac%7B1%7D%7B2%7D%7C6%2A%28-9%29%20%2B%208%2A%286%29%20%2B%20x%283%29%7C)
![15 = \frac{1}{2}|-54 + 48 + 3x|](https://tex.z-dn.net/?f=15%20%3D%20%5Cfrac%7B1%7D%7B2%7D%7C-54%20%2B%2048%20%2B%203x%7C)
![15 = \frac{1}{2}|-6 + 3x|](https://tex.z-dn.net/?f=15%20%3D%20%5Cfrac%7B1%7D%7B2%7D%7C-6%20%2B%203x%7C)
Multiply through by 2
![2 * 15 = \frac{1}{2}|-6 + 3x| * 2](https://tex.z-dn.net/?f=2%20%2A%2015%20%3D%20%5Cfrac%7B1%7D%7B2%7D%7C-6%20%2B%203x%7C%20%2A%202)
![30 = |-6 + 3x|](https://tex.z-dn.net/?f=30%20%3D%20%7C-6%20%2B%203x%7C)
Remove absolute sign
![30 = -6 + 3x\ or\ -30 = -6 + 3x](https://tex.z-dn.net/?f=30%20%3D%20-6%20%2B%203x%5C%20or%5C%20-30%20%3D%20-6%20%2B%203x)
Add 6 to both sides
![36 = 3x\ or\ -24 = 3x](https://tex.z-dn.net/?f=36%20%3D%203x%5C%20or%5C%20-24%20%3D%20%203x)
Divide by 3
![12 = x\ or\ -8 = x](https://tex.z-dn.net/?f=12%20%3D%20x%5C%20or%5C%20-8%20%3D%20x)
![x =12\ or\ -8](https://tex.z-dn.net/?f=x%20%3D12%5C%20or%5C%20-8)
<em>So, the coordinates are (-8, 11) or (12,11)</em>