Hello, hope this makes some sense, the midpoint formula is what’s given in the picture and the rest is just substitution
Answer:
A: 77
Step-by-step explanation:
360 - 109 - 137 - 37 = 77
Answer:
Step-by-step explanation:
The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0
Substituting the three points we get the following equations,
2g +14f +c=-50
14g - 2f + c =-50
16g +12f + c = -100
Solving these equations we get,
g =-4, f = -3, c = 0
Hence general equation of circle is,
x² + y² - 8x - 6y = 0
For a regular 17-gon, the measure of the internal angles is:
a = 158.8°
<h3>
How to measure the internal angles?</h3>
The measure of the sum of the internal angles of a regular figure of N sides is:
(N - 2)*180°
For the case where N = 17, we have:
(17 - 2)*180° = 2,700°
That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:
2,700°/17 = 158.8°
If you want to learn more about angles, you can read:
brainly.com/question/17972372
Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by
x coordinate =
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)