Domain is 0 and Range is 3.
The length will be 17.
Perimeter equation is L+L+W+W= Perimeter
9+9+W+W=Perimeter
I took 18 and subtracted it from 52 and got 34.
Since we are calculating one side length I divided by 2 which got me to 17.
You have to build the triangles.
They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the hypotenuse
Then in this triangle: tan(beta) = h / x ......(1)
1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x and h
Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)
from (1) , x = h / tan(beta)
Substitute this value in (2)
tan(alfa) = h / { [ 1 - h / tan(beta)] } =>
{ [ 1 - h / tan(beta) ] } tan(alfa) = h
[tan(beta) - h] tan(alfa) = h*tan(beta)
tan(beta)tan(alfa) - htan(alfa) = htan(beta)
h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)
h = tan(beta)*tan(alfa) / (t an(alfa) + tan(beta) )
Answer:
k = +10 or -10
Step-by-step explanation:
It's given in the question that the roots of the eqn. are real and equal. So , the discriminant of the eqn. should be equal to 0.






Given:
Number of trips = 7
Distance from the school to the museum = 36 miles.
To find:
Write and solve equations to find how many miles the bus driver drove for the 7 trips.
Solution:
Let x be the number of trips and y be the total number of miles the bus driver drove.
Distance from the school to the museum = 36 miles.
1 trip means from the school to the museum and then from the museum to the school.
Distance covered in 1 trip = 2×36 = 72 miles.
Distance covered in x trips = 72x miles.

Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.


Therefore, the bus driver drove 504 miles for the 7 trips.