For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.
<u>Factor 12 out of 12x.</u>
5x^2+12(x)+4
<u>Rewrite 12 as 2 plus 10</u>
5x^2+(2+10)x+4
Apply the distributive property.
5x^2+2x+10x+4
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(5x^2+2x)+10x+4
Factor out the greatest common factor (GCF) from each group.
x(5x+2)+2(5x+2)
Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.
(5x+2)(x+2)
Answer:
Q' (12,8) , R'( 24,20) and S' (24,8)
Step-by-step explanation:
Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4
What we have to do here is to multiply each of the coordinate on the pre-image by 4
We have this as;
Q' = (4*3, 2 * 4) = (12,8)
R' = (4*6, 4*5) = (24,20)
s' = (4*6, 4*2) = (24,8)
Let the first investment be x
and second be 3000-x
so 3%of x + 4% of (3000-x) = 107
By solving x = 1300
First investment is 1300
second investment is 1700
Answer:
A
Step-by-step explanation:
Because you have to use the Pythagorean theorem to solve for this.
Answer:
5
Step-by-step explanation:
sqrt[(-8+3)² + (-6+6)²] = 5
