Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
<span><span>1. </span>F+4/g=6</span>
<span>First, let’s simplify:
=> f+ 4/g
=> rewrite the given equation to fraction
=> <u>f + 4</u> x g = (6) x g (multiply
g on both sides) Then divide the equation
g
=> f + 4 = 6g (subtract the 4 on both sides)
=> (f + 4) – 4 = (6g) = 4
=> f = 6g – 4
Therefore the answer is f = 6g -4
</span>
Answer: 39 degrees
Step-by-step explanation:
Since the triangle is a right angle
The sum of angles in a right angle is 90degrees
51degrees + A= 90 degrees
A= 90degrees - 51 degrees
A=39 degrees
Alright. -2-(-4) = -2 + 4 because a negative and a negative equals to a positive[(-2-(-4)]. It would look like: Put a dot on -2, then move your dot 4 units to the right, which is +2.
