Answer:
Step-by-step explanation:
We have plane 1 flying SW for 4 hours at a rate of 415 mph. The distance he covers using the d = rt formula for distance, is 415(4) = 160 miles.
We also have plane 2 flying directly east (along the x-axis) for 4 hours at 327 mph. The distance he covers using the d = rt formula for distance, is 327(4) = 1308 miles. The angle in between them at this point is 135 degrees, and what we need to find is the length of the vector connecting the 2 planes. IF this was right triangle trig that distance would be the hypotenuse and we could solve for it using Pythagorean's Theorem. BUT it is NOT a right triangle, so we have to find some other means with which to solve for that length. We will use the Law of Cosines to do this.
which simplifies a bit to
If you add all of that together, you'll get
and you'll take the square root of that to get that the distance between the 2 planes after 4 hours is
2745 miles
Answer:
The slope of any line perpendicular to the given line is 3
Explanation:
The general form of the linear line is:
y = mx + c where m is the slope
The given line is:
y = -1/3 x + 22
Comparing the given line with the general form, we will find that:
slope of the given line (m1) is -1/3
Now, for any two lines to be perpendicular, the product of their slopes should be equal to -1.
This means that:
m1 * m2 = -1
We have m1 = -1/3
Therefore:
-1/3 * m2 = -1
m2 = 3*1
m2 = 3
Hope this helps :)
Answer:
Yes.
Step-by-step explanation:
Though x and y can be achieved in a system of equations. The equation
x (t)=0.0411905(t^2)+(-0.164619)t+28.0114
And
y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)
Are not system of equations but rather two different models of equations. Nevertheless
To find t in the first equation, x(t) has to be equal to zero.
When the t is substituted in the second equation, t will completely disappear. Given the value of y(t) and vice versa.
Don't u have a graphing calculator?
plug it into ur y= screen
Answer:
Step-by-step explanation:
Given
--- scale factor
Required
Relationship between ABC and A"B"C"
implies that the sides of A"B"C" are bigger than ABC
i.e.
In
Divide both sides by A"B"
Divide both sides by 2
Rewrite as:
(a) is correct
