The answer is the first page, first graph
Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
Answer:
Never
Step-by-step explanation:
Adding together an obtuse angle (greater than 90°) and acute angle (less than 90°) should result in an obtuse angle every time
30 I believe, sorry if I am wrong, I am bad at math and history.
Answer:
Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,
Thus,
Consider isosceles triangle MSC. In this triangle
The area of this triangle is
Consider right triangle PTS. The area of this triangle is
The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:
