Answer:
<h2>
y = ¹/₂x + 6</h2>
Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = - 2x + 6 ⇒ m₁ = - 2
m₁m₂ = -1
-2m₂ = -1
m₂ = ⁻¹/₋₂ = ¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = ¹/₂
(-2, 5) ⇒ x₁ = -2, y₁ = 5
So the equation in point-slope form:
y - 5 = ¹/₂(x - (-2))
Therefore:
y - 5 = ¹/₂x + 1
y = ¹/₂x + 1 + 5
<h3>
y = ¹/₂x + 6</h3>
Answer:
1310.8 feet^3 to nearest tenth.
Step-by-step explanation:
To find the volume we need to find the depth.
The length of the diagonal helps us to do this. We apply the Pythagoras theorem to the triangle formed by the length, the diagonal and the depth (d):
17.8^2 = d^2 + 16.6^2
d^2 = 17.8^2 - 16.6^2
d^2 = 41.28
So the depth d = 6.42 feet.
Thus, the volume = 16.6 * 12.3 * 6.42
= 1310.8 feet^3.
Answer:
-15
Step-by-step explanation:
Isolate x to solve
-9=6+x
-6 -6
-15=x
Answer:
Step-by-step explanation:
Given
-- Slope
--- Point
Required
Write an equation in point slope form
The point slope form of an equation is:
Substitute values for y1, x1 and m
Hence, the equation in point slope form is:
