Answer:
9600 m2
Step-by-step explanation:
Evaluated y=x-13 when x=-3
2 answers:
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Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram
Answer:
a) (see attached picture)
b) d, h, velocity of helicopter, dd/dt
in the direction oposite to the movement of the helicopter.
Step-by-step explanation:
In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.
we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:
and substitute the given values:
which yields:
x=0.866mi
we know that the height of the helicopter is going to be constant, so we rewrite the equation as:
Next, we can go ahead and differentiate the equation so we get:
which can be simplified to:
we can next solve the equation for dx/dt so we get:
so we can now substitue te provided values so we get:
so we get:
the negative sign means that the x-value is decreasing.
now, this problem deals with relative velocities, so we get that:
Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:
so we can solve this for the actual velocity of the car, so we get:
so we get:
which yields:
So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.
