The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities
Daemon's speed is (v + 45) mi/h
The reason the above value for Daemon's speed is correct is as follows:
The known parameters are;
The speed with which Bill was travelling = v mi/h
The speed with which Daemon was travelling = 45 mi/h faster than Bill
Method:
By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed
To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;
Solution:
Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h
Learn more about variable addition here:
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$63. 10% of 70 is 7, so you would subtract that from the total cost and you would get $63.
Answer:
(x - 3)^2 + (y + 1) = 25
Step-by-step explanation:
First find the midpoint of the diameter, because that represents the center of the circle.
-1 + 7
The x-coordinate of the midpoint is xm = ---------- = 3
2
2 - 4
and the y-coordinate is ym = ---------- = -1
2
And so the center of this circle is at (3, -1).
Use the Pythagorean Theorem to determine the square of the radius:
square of radius = 4^2 + (-3)^2 = 16 + 9 = 25
And so the equation of this circle is (x - 3)^2 + (y + 1) = 25
