Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
2x-3=7
2x=10
x=5
(2x-3y)(2x-3y)
4x^2 - 6xy - 6xy + 9y^2
4x^2 + 9y^2 -12xy
Solution is 4x^2 = 9y^2 -12xy
Answer:
B and D
Step-by-step explanation:
Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.
Answer:
407.22 foot is the boat from the base of the lighthouse
Step-by-step explanation:
Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.
Let x foot be the distance of the object(boat) from the base of the lighthouse
Angle of depression = 
[Alternate angle]
In triangle CAB:
To find AB = x foot.
Using tangent ratio:


Here, BC = 50 foot and 
then;

or


Simplify:
AB = x = 407.217321 foot
Therefore, the boat from the base of the light house is, 407.22'
THe answer is the second option because you have to use the pythogorean theorm to fing the 3rd side and multiply your answer by 2 to get the value of x.