Answer:
10
Step-by-step explanation:
The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is
d = √[(x2 - x1)² + (y2 - y1)²]
Here (x2, y2) = (6, -8) and (x1, y1) = (0, 0)
Plugging them gives us
d = √[(6 - 0)² + (-8 - 0)²]
d = √[(6)² + (-8)²]
d = √[36 + 64]
d = √100
d = 10
Step-by-step explanation:
Set up the composite result function.
f(g(x))f(g(x))
Evaluate f(g(x))f(g(x)) by substituting in the value of gg into ff.
f(x2)=2(x2)−4f(x2)=2(x2)-4
Multiply 22 by x2x2.
f(x2)=2x2−4f(x2)=2x2-4
Answer:
____________
the answer is B
___________
explanation
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(x^2 - 2x) - 3xy + 6y
Factor out the greatest common factor (GCF) from each group.
x(x - 2) - 3y (x - 2)
Factor the polynomial by factoring out the greatest common factor, x - 2
(x - 2) (x - 3y)
Answer:
x-intercept: 0,-1 . y-intercept: -1.5,0
Step-by-step explanation:
When given a point-slope equation y-y=m(x-x), the second x and y values mark a point in the line and the m value is the slope (rise over run). Just graph the line from there (in this case the slope would be 2 down and 3 to the right).
Answer:
( 9w - 2z)^2
Step-by-step explanation:
81w^2 - 36wz + 4z^2
Rewriting as
(9w)^2 - 2 * 9 w 2z + (2z)^2
We recognize that this is a perfect square binomial
a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2
let a = 9w b = 2z
81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2