Answer:
the area of the circle is 102.11 square metres
Answer:
Step-by-step explanation:
First do your x2-x1/y2-y1 to find slope, which is 0-3/7-13 = -3/-6 = 1/2
Then plug into point slope form (choose either point)
(y-13) = 1/2(x-0)
OR
(y-7) = 1/2(x-3)
-3x + 5 = 16
First, subtract 5 from both sides.
-3x = 11
Then, divide -3 by both sides.
x = -11/3 or -3.66....
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
