Answer:
Step-by-step explanation:
First find the midpoint of the segment from (2, -6) to (-4, -16)
((2 - 4)/2, (-6 - 16)/2)
(-2/2, -22/2)
(-1, -11) is the midpoint and is the center of the circle
Now find the distance between the 2 given points and divide by 2 to get the radius of the circle
d = 
= 
= 
= 
r = /2
= 136/4 = 34
Equation of circle with center at (-1, -11) and radius = 
is
If graph of the function y=f(x) was shifted to the right 1 unit, then you got new function y=f(x-1).
Reversly, if you have the function
that is obtained by shifting to the right 1 unit, then the initial function was
.
Answer: Correct choice is D.
Step-by-step explanation:
Substitute the y in the 1st equation with the 2nd equation.
7x + 10(2x + 9) = 36
7x + 20x + 90 = 36
27x + 90 = 36
3x + 10 = 4
3x = -6
x = -2
So now we can find y.
y = 2x + 9 = 2(-2) + 9 = (-4) + 9 = 5.
So x = -2, y = 5.
Answer:
3rd option: 60 degrees
Step-by-step explanation:
We can see in the diagram that the angle on C is a supplementary angle, which means that the sum of 135 and internal angle will be equal to 180 degrees.
Let x be the internal angle,
Then
x+135 = 180
x = 180-135
x = 45 degrees
So now we know that two interior angles of the triangle.
Also we know that sum of all internal angles of triangle is 180 degrees.
Using the same postulate:
A+B+C = 180
75 + B + 45 = 180
120+B = 180
B = 180 - 120
B = 60 degrees
So,
third option is the correct answer ..
Answer:
y = 8
Step-by-step explanation:
if you do -2 + -2 and add ten to it you get 8
