Part H Complete the table to find the rule for the reflection, the coordinates of triangle A′B′C′, and the coordinates of the re
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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
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
or
The distance between -5 and 11 is
Middle point would be from
.
So,
The maximum height will be
The maximum height is 8 feet and the horizontal distance is 16 feet.
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