Answer:

Step-by-step explanation:
Standard equation of a line is y = mx + b, where m is the slope.
Given line y = - 3x + 78, slope, m₁ = -3
<em><u>To find the line perpendicular to the given line.</u></em>
The lines are perpendicular to each other if the product of their slopes = - 1
That is,

So the slope of new line is


1. if we add something in x then it will also add up in value of y
2. x by 5 times then y value increases by 3*5 = 15 times
3. if x is added with 5 then y value increases by 8.
<h3>What is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
As, per the first part
y=x
So, if we add something in x then it will also add up in value of x.
In second part,
y=3x
If x by 5 times then y value increases by 3*5 = 15 times
In third part, if x is added with 5 then y value increases by 8.
Learn more about algebra here:
brainly.com/question/953809
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Answer: The radius of the circular rug is 6 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
<em>Area of a circle (A) = pi r²
</em>
Where r is the radius:
Replacing with the values given:
36 pi=pi r²
Dividing both sides by pi:
36 = r²
√36= r
r = 6 meters
So, the radius of the circular rug is 6 meters.
Feel free to ask for more if needed or if you did not understand something.