Answer:
y = 7x - 14
Step-by-step explanation:
If the given line has slope -1/7, then any perpendicular line has the slope which is the negative reciprocal of -1/7. That is +7.
Apply the slope-intercept formula for the equation of a straight line, using 0 for y, 2 for x and searching for the y-intercept value b:
0 = 7(2) + b. Then b = -14, and the desired equation is y = 7x - 14.
Answer:
1
Step-by-step explanation:
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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Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
The differnce of 2 perfect cubes
remember
a³-b³=(a-b)(a²+ab+b²)
so
