The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.
<u>Given the following data:</u>
- b = (5q - 10s) centimeters.
- c = (5s + 7r) centimeters.
<h3>What is a triangle?</h3>
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>How to calculate the perimeter of a triangle?</h3>
Mathematically, the perimeter of a triangle can be calculated by using this formula:
P = a + b + c
<u>Where:</u>
a, b, and c are length of sides.
Substituting the given parameters into the formula, we have;
P = q + r + 5q - 10s + 5s + 7r
P = 6q + 8r - 5s centimeters.
Read more on perimeter of triangle here: brainly.com/question/27109587
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Answer:
The answer is The function is decreasing for all real values of x
where
-1<x<4.
Step-by-step explanation:
Answer:
(1.5,2)
Step-by-step explanation:Its the only one furthest away from the rest
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.
Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6
Subtract (1/2)x from each side.
(3/2)x + 5 = 6
Subtract 5 from each side.
(3/2)x = 1
Multiply each side by 2/3.
x = 2/3.
From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.
The common point is (2/3, 19/3). It is not equal to (3, 1/2).
Answer: False
