The correct answer is C (7, 9)
Firstly we know that each point is 6 away from the other in terms of x and in terms of y. Now we also know that for every 6, we will be one away from point B and five away from point A. We know this because the ratio is AB 5:1, meaning that the 5 is on the A side (they both come first).
So, we can just add 5 to each of the A value numbers to get point P.
A = (2, 4)
P = (2+5, 4+5)
P = (7, 9)
-2(-2)+3=7
-2(0)+3=3
-2(4)+3=-5
Let's solve your equation step-by-step.
2b+1=16−3b
Step 1: Simplify both sides of the equation.
2b+1=16−3b
2b+1=16+−3b
2b+1=−3b+16
Step 2: Add 3b to both sides.
2b+1+3b=−3b+16+3b
5b+1=16
Step 3: Subtract 1 from both sides.
5b+1−1=16−1
5b=15
Step 4: Divide both sides by 5.
5b/5=15/5
<em>answer: b=3</em>
The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
