Answer:
Your(my) number is 40
Step-by-step explanation:
I. Given 80/something, + 13, * 5 = 75 when x is something
So [ + 13 ]5 = 75
[ + 65] = 75
= 75 - 65
= 10
400 = 10x
x = 40
II. Prove by replace 40 in x
[(80/40) + 13]5 = 75
[2 + 13] 5 = 75
(15)5 = 75
75 = 75 true
Ask me for anything.
Answer:
x=-3,y=-2
Step-by-step explanation:
Given 2 expressions
S1:
S2:
Write one equation in terms of any variable (x or y)
Here I am writing S1 in terms of y
Substitute this value of y as the value of y in S2
⇒
Therefore
Substitute this value of x in any of the expressions S1 or S2
Here i am substituting in S2
⇒
Therefore x=-3 and y=-2
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