Answer:
18
Step-by-step explanation:
M <CAE = 360 - 240 = 120 degrees answer
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
Answer:
x= 55
Step-by-step explanation:
The two angles add to 180 degrees since they form a straight line
2x+70 =180
Subtract 70 from each side
2x+70-70=180-70
2x= 110
Divide by 2
2x/2 = 110/2
x= 55
To write this equation, you need use the formula y=mx+b.
m represents the slope and b represents the y intercept.
The y intercept is the point where the line touches the y axis. In this case, the y-intercept is 1.
The slope is just rise over run from one coordinate to another. The slope is 2/-1 which could be simplified as -2. The slope just means that we are going up 2 and left 1 to get to a new coordinate.
The equation is y=-2x+1
Have a good day! :)
