1. En una tienda de ropa se pusieron en oferta guantes y chamarras. El primer dia se vendieron 6 pares
2 answers:
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The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.
<h3>How can the slope of the line be calculate?</h3>The slope of the line is been given as −3x+5y=−15
Then , hence the slope is
- Slope of the first line 5x + 3y = 15 after calculation is
the slope is
this means that the line is perpendicular to the given line
- Slope of the second line 3x + 5y = 15 after calculation is
This means that the line is not perpendicular and not parallel
- Slope of the Third line -3x + 5y = 15 can be calculated as
This means that the line is parallel to the above line.
- Slope of the first line 3x + 5y = 15 after calculation is
This means that the line is not parallel or perpendicular to the line
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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.
