Laura paddles in her canoe at a speed of 5 mph for 5 miles. She then hops on her windsurfer and sails for 12 miles at a speed of
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Answer:
The horizontal distance the ball travels before it hits the ground is 22. feet
Step-by-step explanation:
The given parameter are;
The function modelling the path of the ball tossed by Nate y = -14·x² + 335·x
x = The horizontal distance the ball travels from Nate in feet
y = The height of the ball in feet
The line equation modelling the hill is y = 15·x
The point where the ball hits the ground is given by the point the graph of the equation for the path of the ball and the path of the model of the line of the hill meet as follows;
Ball path is y = -14·x² + 335·x
Hill path is y = 15·x
The point both paths meet and the ball hits the ground is -14·x² + 335·x = 15·x
Which gives;
-14·x² + 335·x - 15·x = 0
-14·x² + 320·x = 0
320·x - 14·x² = 0
x × (320 - 14·x) = 0
x = 0, or x = 320/14 = 22 6/7 = 22. feet
Therefore;
The horizontal distance the ball travels before it hits the ground = x = 22. feet.
Given that the table shows the total miles Uyen has run this week.
The image of the table is attached below.
The total distance from the table is
The total distance this week is 1.5 times the distance that she ran last week.
We need to determine the number of miles that Uyen run last week.
<u>The number of miles Uyen run last week:</u>
Let x denote the number of miles that Uyen run last week.
Let us write the equation from the given data.
Thus, we have;
Dividing both sides by 1.5, we have;
Hence, the value of x is 14.8 miles.
Thus, Uyen ran 14.8 miles last week.
