<h3>x = 60</h3><h3>y = 60</h3>
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
Answer:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.
Step-by-step explanation:
Answer:
x = 1/4 ± 1/4√233
Step-by-step explanation:
(2x + 5)(x - 3) = 14
~Use FOIL on the left side
2x² - 6x + 5x - 15 = 14
~Combine like terms
2x² - x - 15 = 14
~Subtract 14 to both sides
2x² - x - 29 = 0
~Use the quadratic formula and simplify
x = 1/4 ± 1/4√233
Best of Luck!
Answer:
x=6
Step-by-step explanation:
To solve, we need to get the variable, x, by itself. To do this, first, move all the variables to one side of the equation, and the numbers to the other
2/3(15x-6)=8(x+1)
First, distribute the 2/3 on the left
2/3*15x + 2/3*-6=8(x+1)
10x-4=8(x+1)
Next, distribute the 8 on the right
10x-4=8*x + 8*1
10x-4=8x+8
Subtract 8x from both sides
10x-8x-4=8x-8x+8
2x-4=8
Add 4 to both sides
2x-4+4=8+4
2x=12
Now all the numbers are on one side, and the variables are on the other. x is not by itself though, it is being multiplied by 2. To undo this, divide both sides by 2
2x/2=12/2
x=6
Option C: 
Solution:
Given equation is 
.
This is a quadratic equation.
Here a = 1, b = 6, c = 7
To solve the given equation by quadratic formula,
Substitute the given values in the quadratic formula, we get
2 in the numerator and denominator are cancelled.
Option C is the correct answer.
