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
To <span>transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)</span>²=-71/36
the answer is:
1/36(6x-1)²=-71/36
Answer:
c = 6
Step-by-step explanation:
(I'm going to call the unidentified inner angle Henry, 'kay?)
First, we need to find Henry.
64 + Henry = 180
(64 - 64) + Henry = (180 - 64)
Henry = 116
Now to c.
Henry + 32 + 5c + 2 = 180
(116 + 32 + 2) + 5c = 180
(150 - 150) + 5c = (180 - 150)
5c/5 = 30/5
c = 6
Answer:
Answer:
m=−7
Step-by-step explanation:
Let's solve your equation step-by-step.
2981
35
=
−11
7
(8m+
9
5
)
Step 1: Simplify both sides of the equation.
2981
35
=
−11
7
(8m+
9
5
)
2981
35
=(
−11
7
)(8m)+(
−11
7
)(
9
5
)(Distribute)
2981
35
=
−88
7
m+
−99
35
Step 2: Flip the equation.
−88
7
m+
−99
35
=
2981
35
Step 3: Add 99/35 to both sides.
−88
7
m+
−99
35
+
99
35
=
2981
35
+
99
35
−88
7
m=88
Step 4: Multiply both sides by 7/(-88).
(
7
−88
)*(
−88
7
m)=(
7
−88
)*(88)
m=−7
Answer:
m=−7
