Solution:
1)Distance covered by cyclist=3.75 miles.
Time =0.3 hours.
Speed= Distance ÷Time
Speed =3.75÷0.3=12.5 miles per hour.
2) Speed = 12.5 miles per hour, Distance = 4.5 miles .
Time = Distance ÷Speed.
Time = 4.5÷12.5=0.36 hours.
Time taken to cover 4.5 miles is 0.36 hours.
<h2>
</h2>
<u>Step-by-step explanation:</u>
Answer:
48/37 + (8/37)i.
Step-by-step explanation:
8 / (6 - i)
We multiply top and bottom of the fraction by the conjugate of 6 - i , which is 6 + [email protected]
= 8*(6 + i) / (6 - i)(6 + i)
= 48 + 8i / (36 + 6i - 6i - i^2)
= 48 + 8i / (36 - (-1))
= 48 + 8i / 37
= 48/37 + (8/37)i.
<h3>
Answer: perpendicular</h3>
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Work Shown:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (f-0)/(e-0)
m = f/e
Let p = f/e so we can compare the slope later
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Use the slope formula to find the slope of line CD
m = (y2-y1)/(x2-x1)
m = (0-e)/(f-0)
m = -e/f
Let q = -e/f so we can compare the slope later
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We have
- p = f/e which is the slope of AB
- q = -e/f which is the slope of CD
Multiply the values of p and q
p*q = (f/e)*(-e/f) = (f(-e))/(ef) = (-ef)/(ef) = -1
since p*q = -1, this means the lines AB and CD are perpendicular. They form a 90 degree angle.
C it’s what I chose for it
