Answer:
4+12+8 = 24
Step-by-step explanation:
4+8=12 + 12 = 24 :)
The Quadratic<span> Formula uses the "a", "b", and "c" from "ax</span>2<span> + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the </span><span>quadratic equation. Therefore,
</span><span>f(x) = x2 – 5x + 6
a = 1
b = -5
c = 6</span>
Answer:
α = 27.9794744° ≈ 28.0 m (nearest tenth)
Step-by-step explanation:
Step 1:
Opposite (O) = 42.5 (the side opposite to the reference angle, α)
Adjacent (A) = 80
Hypotenuse (H) = the longest side opposite to the right angle
2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:
Tan α = Opp/Adj
Plug in the values
Tan α = 42.5/80
3. Make α stand alone
α = 
4. α = 27.9794744° ≈ 28.0 m (nearest tenth)
Answer:
x =
, x = 
Step-by-step explanation:
Given
4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )
4x² - 32x + 39 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × 39 = 156 and sum = - 32
The factors are - 26 and - 6
Use these factors to split the x- term
4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )
2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term
(2x - 13)(2x - 3) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
2x - 13 = 0 ⇒ 2x = 13 ⇒ x = 