Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
To find the slope you use the slope formula y2-y1 / x2-x1. So use two point on the line we will make ours (1,2) and (3,4). Substitute to make 4-2 / 3-1 = 1/1 so using the rise over run method. The line rises up one and runs by one. The slash mark means divide, it's easiest in a fraction.
Also if you come across the equation y=mx+b, m is the slope and b is the y-intercept, this is called slope intercept formula.
Answer:
1)
2) 
3)
4)
Step-by-step explanation:
The slope formula of the line that pass across two points P1(x1,y1) and P2(x2,y2) is:

You can use this formula to solve all the four points:
1)

2)

3)

4)

Answer: 27.7 square inches.
Step-by-step explanation:
Let 'a' be the side of equilateral triangle.
Then the perimeter of the triangle = a+a+a=3a
Given: Perimeter of the equilateral triangle = 24 inches We know that the area of a equilateral triangle is given by :-
In 1 and 2, you are asked to find "a" and "b" in the pattern
g(x) = a•bˣ
1: selection 2
2: selection 4
3. You want the result of evaluating 4000*(1.06)⁵ ≈ 5352.90, selection 2.