Answer:
B
Step-by-step explanation:
f(x) is just another way of saying y, so this function is really y=4x-5. So if you do y+3 then the y intercept will increase by 3 shifting the graph up 3 units.
Answer:
Step-by-step explanation:
The "template" equation of a circle is:

All you're doing after that, is filling in the blanks:
h = 0
k = 5
r = 5
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
Answer:
100,000,000
Step-by-step explanation:
6,000 + 600 + 100,000,000 = 100,006,600
Circle geometry rule: Tangent to circle makes right angle with the radius
Please refer to the diagram below for the working out of each angle