<span>Break down every term into prime factors. ...Look for factors that appear in every single term to determine the GCF. ...Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...<span>Multiply out to simplify each term. </span></span>
Answer:
second option
G(3 , -4) ; H(8 , 1)
Step-by-step explanation:
For the line GH to be a median, the point G must have the intermediate value at x and at y between points A and B, and the point H must have the intermediate value at x and at y between points A and B
G = (Ax + Bx)/2 , (Ay + By)/2
G = (3 + 3)/2 , (-9 + 1)/2
G = 6/2 , -8/2
G = (3 , -4)
H = (Cx + Bx)/2 , (Cy + By)/2
H = (13 + 3)/2 , (1 + 1)/2
H = 16/2 , 2/2
H = (8 , 1)
This is because for a medium to be the point p has to be right in the middle of the other 2 vertices
Answer:
1. (3x - 2)(x + 5).
2. 2(x + 4)(x - 2).
3. (2x - 9)(2x + 9).
Step-by-step explanation:
1. f(x) = 3x^2 +13x -10
Try to factor by the ac method:
3 * -10 = -30
We need 2 numbers whose product is -30 and whose sum is + 13.
They are -2 and +15, so we write:
3x^2 + 15x - 2x - 10 Factor by grouping:
= 3x(x + 5) - 2(x + 5)
= (3x - 2)(x + 5).
2. f(x) = 2x^2+4x-16
= 2(x^2 + 2x - 8)
Now we need 2 numbers whose product is -8 and whose sum is + 2.
They are +4 and -2. So:
= 2(x + 4)(x - 2).
3. 4x^2 - 81 This is the difference of 2 squares so the factors are:
(2x - 9)(2x + 9).
Answer:
=4
Step-by-step explanation:
Answer:
No, equivalent quarterly rate will be approx 1.75%
Step-by-step explanation:
Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.
We know that there are 4 quarters in 1 year.
So to find that equivalent quarterly we will divide given yearly rate by number of quarters.
That means divide 7% by 4.
which gives 1.75%.
But that is different than Chan's though of 2% quarterly interest.
Hence Chan is wrong.
