Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As, 
So, time for running= 
And time for riding= 
Equation becomes:
Now, multiply every term by 2x(x+9) to clear denominators:
Simplifying it we get
Solve the quadratic equation using formula
putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph
Answer:
Just two corrections! See attached image.
Step-by-step explanation:
The product of 8 and b taken <u>from</u> 10 means begin with 10 and subtract 8b from it.
8 times the difference of 10 and b means find 10 - b first, <u>then</u> multiply by 8.
The midpoint of point A and point B is (5, -2.5)
<h3>How to determine the midpoint?</h3>
The coordinates are given as:
A = (3, -8)
B = (7, -3)
The midpoint is calculated as:
(x, y) = 0.5 * (x1 + x2, y1 + y2)
So, we have:
(x, y) = 0.5 * (3 + 7, -8 + 3)
This gives
(x, y) = 0.5 * (10, -5)
Evaluate
(x, y) = (5, -2.5)
Hence, the midpoint of point A and point B is (5, -2.5)
Read more about midpoints at:
brainly.com/question/5566419
#SPJ1
The circumference of the circle is found using the formula C = 2 PI r
Circumference = 2 *PI * 15.5 = 31pi
The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).
The arc length would be 1/4 of the circumference:
Arc length = 31pi / 4 = 7.75PI
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