Answer:
I can't see the questions please make bigger
Step-by-step explanation:
<span> y = |x-2|+4
it is a negative 2 because you do the inverse</span>
F(x) = x/2
g(x) = x - 3
f(8) = 8/2 = 4
g(f(x)) = 4 - 3 = 1
Answer g(f(8)) = 1
Answer:
66 square inches
Step-by-step explanation:
The area of the figure can be found by adding the area of the rectangle and the triangle together.
The area of a rectangle is found A = l*w. Here l = 10 and w = 6. So the area of the rectangle is 10*6 = 60.
The area of a triangle is found A = 1/2 b*h. Here b = 2 from 12-10 = 2 and h = 6. So the area of the triangle is 1/2 * 2* 6 = 6.
The area together is 60 + 6 = 66 square inches.
Answer:
k=2
Problem:
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..
Step-by-step explanation:
Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.
So we want the following:
[(k+2)/2]^2=2k
Apply the power on the left:
(k+2)^2/4=2k
Multiply both sides by 4:
(k+2)^2=8k
Expand left side:
k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2
Subtract 8k on both sides:
k^2-4k+4=0
Factor using the identity mentioned a couple lines above:
(k-2)^2=0
Since zero squared is zero, we want k-2=0.
Adding both sides by 2 gives k=2.
