Answer:
Where is the a. b. c. or d?
Answer:
K = 10
Step-by-step explanation:
Interior angle adjacent to y = 180-115 = 65
Sum of interior angles in a triangle = 180
This the remaining interior angles for the triangle = 180-65= 115
In other words,
4K+5+6k+10 = 115
Simplify and solve:
10k + 15 = 115
10k = 115-15=100
K= 100/10 = 10
Hope this helps.
Good Luck
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
|
Answer:
-1/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-1)/(-2-1)
m=1/-3
m=-1/3
Answer:
Step-by-step explanation:
Give the equation 5x² + 27x = 14 − 13x, we are to write the steps needed to solve for x using the completing the square method.
Step 1: Rewrite the equation in a quadratic form by first adding 13x to both sides of the equation.
5x² + 27x +13x= 14 − 13x+13x
5x² + 40x = 14
Step 2: factor out the common constant in the left hand side of the equation.
5(x²+8x) = 14
Step3: The next step to take is to divide through by the the value of 5 to have;
5(x²+8x)/5 = 14/5
x²+8x = 14/5
Step 4: complete the square of the equation at the left hand side by adding the square of half of the coefficient of x to both sides i.e {1/2(8)}² which is 4²
x²+8x +4² = 14/5+4²
x²+8x +16 = 14/5+16
(x+4)² = 94/5
Step 5: Taking the square root of both sides
√(x+4)² = ±√94/5
x+4 = ±√94/5
Step 6: subtract 4 from both sides
x+4-4 = ±√94/5 - 4
x = ±√94/5 - 4
Hence the solution to the equation using completing the square method is x = -4±√94/5
