The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.
<u><em>How to solve:</em></u>
- First use the formula: C = 3.14d
- Replace the d value with 30 and solve the equation:
C = 3.14 x 30 ⇒ 94.2477796077
- Then solve the equation again but 21 as the d value:
C = 3.14 x 21 ⇒ 65.9734457254
- Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8
Answer:
Percentage increase.
Step-by-step explanation:
It took the Phillips family 6 hours to drive to their vacation destination. 2 hours and 42 minutes extra because of traffic.
8 hours 42 minutes
-
6 hours 0 minutes
=
2 hours and 42 minutes
Percentage increase.
Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
2x - y = -2 . . . (1)
5x - 2y = -7 . . . (2)
From (1), y = 2x + 2 . . . (3)
Putting (3) into (2), gives:
5x - 2(2x + 2) = -7
5x - 4x - 4 = -7
x - 4 = -7
x = -7 + 4 = -3
y = 2(-3) + 2 = -6 + 2 = -4.
Therefore, the required answer is (-3, -4)
