Answer:
A pair of friends are walking around outside and come across an unknown object. They are not sure if it is a living or a non-living thing. The friends decide to do a quick investigation to determine if it is alive.
Step-by-step explanation:
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)
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Answer:
(3,5)
Step-by-step explanation:
The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.
<h3>What three numbers should be placed between 12 and 60?</h3>
It follows from the task content that the first and last numbers are; 12 and 60 respectively.
Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,
It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.
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y=1/3x-1
We know straight away that the y intercept is -1 from the equation.
y-intercept: (0,-1)
To find the x intercept plug in 0 for y in the equation.
y=1/3x-1
0=1/3x-1
1/3x=1
x=3
x-intercept: (3,0)
answers: y-intercept: (0,-1) and x-intercept: (3,0)