Answer:
Vertical opposite angles are the same so the answer is D.
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:
Step-by-step explanation:
Find the value of u then you can get it
[ ( |500,000-700,000| ) / 500,000 ] * 100 = 40%
Answer:
12
Step-by-step explanation:
We are given that the table shows a proportional relationship between x and y. This can be represented by the equation, y = mx. Where k is the constant of proportionality.
Using the first pair given, (4, 16), let's find k.
k = y/x = 16/4
k = 4
Substitute k = 4 into y = kx
We have,
y = 4x
To find the value that completes the y-column, plug in the value of x into y = 4x.
x is given as 3.
Thus:
y = 4(3)
y = 12