Answer:
x=2 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+6)(x−4)=−16
Step 1: Simplify both sides of the equation.
x2+2x−24=−16
Step 2: Subtract -16 from both sides.
x2+2x−24−(−16)=−16−(−16)
x2+2x−8=0
Step 3: Factor left side of equation.
(x−2)(x+4)=0
Step 4: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
Answer:
Step-by-step explanation:
f(4) = 3*(4)^2 + 4*(4) -30
f(4)=48 + 16 -30
=34
Answer:
- 6
Step-by-step explanation:
The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.
Slope(using these pts) = (y2 - y1)/(x2 - x1)
=> - 2 = (-2 - r)/(3 - 5)
=> -2 = (-2 - r)/(-2)
=> (-2)(-2) = (-2 - r)
=> 4 = -2 - r
=> r = - 2 - 4
=> r = - 6
Answer:
(2a +b)·(13a^2 -5ab +b^2)
Step-by-step explanation:
The factorization of the difference of cubes is a standard form:
(p -q)^3 = (p -q)(p^2 +pq +q^2)
Here, you have ...
so the factorization is ...
(3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q
= (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit
= (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms
