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:
(9,48)
Step-by-step explanation:
The x's are being added by 2, while the y's are being multiplied by 2.
<h3>
Answer:</h3>
25°
<h3>
Step-by-step explanation:</h3><h3>
</h3>
<em>Angles in a circle add up to 360°</em>
5a + (a + 60) + (2a + 100) = 360
5a + 3a + 160 = 360
5a + 3a = 8a
8a + 160 = 360
<em />
<em>Make a the subject</em>
8a + 160 = 360
8a = 200
200 ÷ 8 = 25°
Have a great day <3
Answer:
sin C = 7/25
cos C = 24/25
tan C = 7/24
Step-by-step explanation:
opposite of C = 7
adjacent of C = 24
hypotenuse of C = 25
sin = opposite / hypotenuse
so sin C = 7/25
cos C = adjacent / hypotenuse
so cos C = 24/25
tan = opposite / adjacent
so tan C = 7/24
Answer:
£196
Step-by-step explanation:
1) 180/24=7.5
2) 40-24=16
3) 180+16=196
so he has to pay £196
