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:
x - 3 > 10
There were more than
13
board games in Anne's cabinet to start.
Step-by-step explanation:
The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.
And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.
This inequality shows the relationship.
x–3>10
Now, solve for x.
x–3
> 10
x–3+3
> 10+3 Add 3 to both sides
x
> 13 Simplify
So, there were more than 13 board games in Anne's cabinet to start.
Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.
Angle A = 90 degrees
Angle A m B and the 59 forms a straight line which needs to equal 180
Angle B = 180 - 59 - 90 = 31
Angle B = 31 degrees.
Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.
Angle D is a vertical angle with 59, so equals 59 degrees.
Step-by-step explanation:
-8 3/8 + 6 1/4 = -2 1/8 or you can also write -17/8
<h2>hope this help you!! ;))</h2>
