The graph graphed is y=1/2x
so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4
sub back
y=1/2x
y=1/2(4)
y=2
(4,2) is the solution
Answer the answer is d = 2
Step-by-step explanation:
Given equation is

The given equation is in the form of

a^2= 16 , so a=4
b^2 = 9 so b= 4
The value of 'a' is greater than the value of 'b'
So it is a Horizontal hyperbola
First two graphs are horizontal hyperbola
Here center is (h,k)
h= 5 and k =2 from the given equation
So center is (5,2)
Now we find vertices
Vertices are (h+a,k) and (h-a,k)
We know h=5, k=2 and a=4
So vertices are (9,2) and (1,2)
Second graph having same vertices and center
The correct graph is attached below
Answer:
b). 16.
Step-by-step explanation:
x^2 = 4
We can write this as
x^2 + 0x - 4 = 0
The discriminant (b^2 - 4ac) =
0^2 - 4 * 1* -4
= 16.
Answer:
x=25
Step-by-step explanation:
DEF=180, Therefore GED+GEH+HEF=180
x+30+x+40+2x+10=180
Combine like terms:
4x+80=180
subtract 80 by both sides:
4x=100
divide by 4 on both sides
x=25