Answer:
units.
Step-by-step explanation:
The given functions are:

and

The function
has y-intercept ,
.
The function
has y-intercept, 
If we shift the graph of g(x) up to obtain f(x), then the y-intercept must move from
to
.
This means that the graph will move up by;
units.
We know that
[length of a circumference]=2*pi*r
diameter=10 cm
r=10/2-----> 5 cm
[length of a circumference]=2*pi*5-----> 10*pi cm
if 360° (full circle) has a length of -----------> 10*pi cm
X°---------------------------> pi cm
X=pi*360/10*pi------> 36°
the answer is 36°
Hi there!
When we have an equation standard form...

...the formula of the discriminant is
D = b^2 - 4ac
When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions
1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0
Plug in the values from the equation into the formula of the discriminant

D > 0 and therefore we have two real solutions.
2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0
Again, plug in the values from the equation into the formula of the discriminant.

D = 0 and therefore we have one real solution.
~ Hope this helps you.
Answer:
Step-by-step explanation:
Write in y = mx + b form
here, b ----> y intercept
2y - 2x = 8
2y = 2x + 8 {Divide the equation by 2}

y = x + 4
y-intercept = 4