Answer:
<h3> C. y + 7 = -7(x - 3)</h3>
Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where <em>m</em> is the slope and <em>(x₀, y₀)</em> is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
<u> </u><u>y + 7 = -7(x - 3) </u>
Answer:
I dont know the answer so I cant help
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
<h3>How to find the volume of a rectangular prism?</h3>
volume of a rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
learn more on volume here: brainly.com/question/2005063
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The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.