The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
brainly.com/question/4074386
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Answer:
11. Eagles to Whales
12. 23:50
13. 27:23
14. 3:5
Step-by-step explanation:
11. Eagles to whales since there are 4 eagles and 2 whales
12. There are a total of 100 senators, so the ratio is 46:100, divide by 2 to get lowest terms
13. #'s are given to you 54:46, just simplify by dividing
14. 21:35, simplify by dividing common terms, which in this case is 7
Y=1/2x is the equation of the line.
Hey there!
1/8(p + 24) = 9
1/8(p) + 1/8(24) = 9
1/8p + 3 = 9
SUBTRACT 3 to BOTH SIDES
1/8p + 3 - 3 = 9 - 3
CANCEL out: 3 - 3 because it gives 0
KEEP: 9 - 3 because it help solve for the p-value.
NEW EQUATION: 1/8p = 9 - 3
SIMPLIFY IT!
1/8p = 6
MULTIPLY 8 to BOTH SIDES
1/8p * 8 = 6 * 8
CANCEL out: 1/8 * 8 because it gives 1
KEEP: 6 * 8 because it gives the p-value.
NEW EQUATION: p = 6 * 8
SIMPLIFY IT!
p = 48
Therefore, your answer is: p = 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
