Hello :
Hello:<span>
this line an equation is : y = ax+b
the slope is a : a×(4/7) = -1......( perpendicular to a line : y =4/7x-3 with a slope of 4/7)
a = -7/4 y=(-7/4)x+b
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Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
So
1) work out the value of M when r=2
When r = 2, M = 20.
2) work out the value of r when M=540
When M = 540, r = 6.
Answer:
6.28 miles
Step-by-step explanation:
How far Michelle bike around the bicycle trail is the circumference or perimeter of bicycle trail.
This is given by:
where d=2 miles is the diameter of the bicycle trail.
We substitute to get:
Therefore she travelled approximately 6.28 miles
<h3>
Answer: Choice C</h3>
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Explanation:
Let's solve the first inequality for p
4p+1 > -7
4p > -7-1
4p > -8
p > -8/4
p > -2
And we'll do the same for the second inequality as well
6p+3 < 33
6p < 33-3
6p < 30
p < 30/6
p < 5
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We've found that p > -2 and p < 5
This must mean -2 < p < 5
The graph of which consists of open holes at -2 and 5 on the number line, then we shade in between those open holes. The open holes are to indicate "do not include the endpoint as part of the shaded solution set".
We can say that p is between -2 and 5, excluding both endpoints.
So that's why graph C is the final answer.
Answer:
(1,2) or equation form: x=1 y=2
Step-by-step explanation:
Used system of equations and doubled checked!