Answer:
x = -3
Step-by-step explanation:
-3(x+5)=3(x-1)
Distribute
-3x -15 = 3x -3
Add 3x to each side
-3x+3x -15 =3x+3x -3
-15 = 6x+3
Subtract 3 from each side
-15-3 = 6x+3-3
-18 = 6x
Divide each side by 6
-18/6 = 6x/6
-3 =x
Answer:
246 Square Feet
Step-by-step explanation:
The cubes are of side length 1ft , 2ft, 3ft , 4ft, and 5ft in that order.
If the side of each smaller cube is completely touching the side of the adjacent larger cube.
- In the first and last cubes, 5 sides out of 6 are visible, so we use the formula
for their surface area.
- In the 2nd, 3rd and 4th cubes, only 4 sides out of 6 are visible, so we use the formula
for their surface area.
Surface Area of the Solid ![= 5(l_1)^2+4(l_2)^2+4(l_3)^2+4(l_4)^2+5(l_5)^2, where \: l_1,l_2,l_3,l_4,l_5](https://tex.z-dn.net/?f=%3D%205%28l_1%29%5E2%2B4%28l_2%29%5E2%2B4%28l_3%29%5E2%2B4%28l_4%29%5E2%2B5%28l_5%29%5E2%2C%20where%20%5C%3A%20l_1%2Cl_2%2Cl_3%2Cl_4%2Cl_5)
are the length of the cubes in that order
Surface Area of the Solid
![= 5(1)^2+4(2)^2+4(3)^2+4(4)^2+5(5^2)\\=5+16+36+64+125\\=246 \:Square\: feet](https://tex.z-dn.net/?f=%3D%205%281%29%5E2%2B4%282%29%5E2%2B4%283%29%5E2%2B4%284%29%5E2%2B5%285%5E2%29%5C%5C%3D5%2B16%2B36%2B64%2B125%5C%5C%3D246%20%5C%3ASquare%5C%3A%20feet)
75 degrees because 42+63=105
180-105=x
Answer:
Step-by-step explanation:
<u>Given parabola:</u>
<u>Complete the square to convert the equation into vertex form:</u>
- y = x² - 8x + 13 =
- x² - 2*x*4 + 4² - 4² + 13 =
- (x - 4)² - 16 + 13 =
- (x - 4)² - 3
I think it is angle PLN.
I hope this helps! :D