Answer:
Simplifying
6x + -3 = 21 + -2x
Reorder the terms:
-3 + 6x = 21 + -2x
Solving
-3 + 6x = 21 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-3 + 6x + 2x = 21 + -2x + 2x
Combine like terms: 6x + 2x = 8x
-3 + 8x = 21 + -2x + 2x
Combine like terms: -2x + 2x = 0
-3 + 8x = 21 + 0
-3 + 8x = 21
Add '3' to each side of the equation.
-3 + 3 + 8x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 8x = 21 + 3
8x = 21 + 3
Combine like terms: 21 + 3 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
Step-by-step explanation:
Y=18.
All triangles are 180 degrees. The given angle is 108 degrees. 180 - 108 = 72. 72 degrees are left to solve for in the triangle. 72 degrees / the two angles = 36. The angles of the triangle are 108, 36, 36. The 36 degree angle = 2y. 36 / 2 = 18.
Y=18
I have a solution here for the same problem but a different given:
<span>(2x-82)/(x^2+2x-48) dx
</span>
In which this solution will help you answer the problem by yourself:
(2x - 82) /(x² + 2x - 48)
<span>first, factor the denominator completely: </span>
<span>(x² + 2x - 48) = </span>
<span>(x² + 8x - 6x - 48) = </span>
<span>x(x + 8) - 6(x + 8) = </span>
<span>(x - 6)(x + 8) </span>
<span>so the function becomes: </span>
<span>(2x - 82) /[(x - 6)(x + 8)] </span>
<span>let's decompose this into partial fractions: </span>
<span>(2x - 82) /[(x - 6)(x + 8)] = A/(x - 6) + B/(x + 8) </span>
<span>(letting [(x - 6)(x + 8)] be the common denominator at the right side too) </span>
<span>(2x - 82) /[(x - 6)(x + 8)] = [A(x + 8) + B(x - 6)] /[(x - 6)(x + 8)] </span>
<span>(equating numerators) </span>
<span>2x - 82 = Ax + 8A + Bx - 6B </span>
<span>2x - 82 = (A + B)x + (8A - 6B) </span>
<span>yielding the system: </span>
<span>A + B = 2 </span>
<span>8A - 6B = - 82 </span>
<span>A = 2 - B </span>
<span>4A - 3B = - 41 </span>
<span>A = 2 - B </span>
<span>4(2 - B) - 3B = - 41 </span>
<span>A = 2 - B </span>
<span>8 - 4B - 3B = - 41 </span>
<span>A = 2 - B </span>
<span>- 7B = - 41 - 8 </span>
<span>A = 2 - B </span>
<span>7B = 49 </span>
<span>A = 2 - 7 = - 5 </span>
<span>B = 49/7 = 7 </span>
<span>hence: </span>
<span>(2x - 82) /[(x - 6)(x + 8)] = A/(x - 6) + B/(x + 8) = - 5/(x - 6) + 7/(x + 8) </span>
<span>thus the answer is: </span>
<span>(2x - 82) /(x² + 2x - 48) = [- 5 /(x - 6)] + [7 /(x + 8)] </span>
Answer:
Step-by-step explanation:
4√6 X 2√2 4√3 16√3 32√3 8√12
Answer:
The area of the rectangle is 8 cm 2. 1. Find the area and perimeter of a rectangle with a length of 6 cm and a breadth of 4 cm. 2. A square table cloth has a side of 5 m.
Step-by-step explanation: