In the triangle below, which equation can be used to solve for x?
1 answer:
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Answer:
The inequality that represent the problem is
The solution in the attached figure
Step-by-step explanation:
Let
x ----> the number of laptops sold
y ----> the number of smartphones sold
we know that
The inequality that represent the problem is equal to
The solution of the inequality is the shaded area
Remember that the number of laptops or the number of smartphones must be a whole positive number
The graph in the attached figure
Answer:
the red car is traveling at 102.44 ft/s along the road
Step-by-step explanation:
From the given information:
Let consider p be how far the car is up the road and q be how far the police is off the road.
Also, suppose that r is the distance between the police and the car.
Then, we can have a right triangle in which we can use the Pythagorean Theorem to calculate the r (distance between the cop and the car)
NOW,
p² + q² = r²
r² = 40² + 180²
r² = 1600 + 32400
r² = 34000
r =
r = 184.39
If we consider q' to be how fast the car is traveling down the road.
And, p' be how fast the police is traveling toward the road.
r' be how fast the distance between the police and the car is changing.
then , the derivative of our equation, p² + q² = r² with respect to time can now be:
2p(p') +2q(q') = 2r(r')
p(p') +q(q') = r(r')
By replacing our values; we have:
40(0) +180(y') = (given that the police is not moving p' =0)
180(y') =
the red car is traveling at 102.44 ft/s along the road