Answer:
The midpoint is (10, 4)
Step-by-step explanation:
To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.
2 + 18 = 20
20 / 2 = 10
1 + 7 = 8
8 / 2 = 4
(10, 4)
Hope this helps!
I'm assuming we have to solve for "p" here...
By making an equation, we will get...
(p/4)-4=10
Add four on both sides...
(p/4)=14
Remove parentheses and multiply by four on both sides.
p=56
Answer:
Both of the angles will add up to 180 degrees so let’s make an equation.
5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25
So yes it’s true x=25.
Now we find the respective angles,
5x-5
5(25)-5
125-5
120
So angle one is 120 degrees.
2x+10
2(25)+10
50+10
60
So angle two is 60 degrees.
Now to check,
120+60=180
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:

Transformation 1:

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).