Step-by-step explanation:
Hey there!
The equation is;

Shifting "2x" to left side and "2" to right side.

Simplify them to get answer.

Therefore the value of x is -7.
<u>Check</u><u>;</u>
3 × -7 + 2 = 2 × -7 -5
-19 = -19 ( True ).
So, your answer is option B.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
7:9
Step-by-step explanation:
Just divide 35 and 45 by 5.
2 7/12 hours
X=101/2 - ( 3+4+1/4+2/3)
X=101/2 - 7 + (1/4+2/3)
1/4+2/3= 11/12
101/2 - 7 =3 1/5
X = 3 1/5 - 11/12 = 2 7/12
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:
-18.
Step-by-step explanation:
They're both negative numbers being added to each other, so you'd add 6 and 12 (which is 18) and then put a negative sign before the 18. Therefore, your answer is -18.
I hope this helps, have a nice day.