Answer:
1/3
Step-by-step explanation:
We use the formula y2-y1/x2-x1. The two points that I would use are (3,-1) and (-3,-3). This means that the equation will be -3--1/-3-3. This is equal to -2/-6. This is also equal to 1/3. Therefore, the slope is 1/3.
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The general formula to form a parabole equation is written below.
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.
From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15
Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
<em>This is the equation</em>
Answer:
<1 and <7
Step-by-step explanation:
<4 and < 6 are alternate interior angles
<3 and <8 are supplementary angles
<2 and <7 are supplementary angles
<1 and <7 are alternate exterior angles
Answer:
x ≈ 8.3
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos41° =
=
= 
Multiply both sides by 11
11 × cos41° = x, thus
x ≈ 8.3 ( to the nearest tenth )