A =s^2 since the wall is square
78 =s^2
take the square root of each side
sqrt(78) = s
s=8.83 ft
Choice B
Answer:
The table is not a function because of the same range and different domain values.
Answer:
9.0 ft
Step-by-step explanation:
Let the distance from the bottom of the board to the edge of the wall be represented as "x"
Angle measure = θ = 53.13°
Hypotenuse = 15 ft
Adjacent side = x ft
The trigonometric ratio we would apply would be CAH:
Thus,
Cosine θ = Adjacent/Hypotenuse
Plug in the values
Cos 53.13° = x/15
Multiply both sides by 15
15 * Cos 53.13 = x
9.00002143 = x
x ≈ 9.0 ft (nearest tenth)
Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft
Answer:
The solution is x=1,y=2,z=3
Step-by-step explanation:
The given system of equations is ;\
2x−3y+4z=8...(1)
3x+4y−5z=−4...(2)
4x−5y+6z=12...(3)
Make x the subject in equation (1)

Put equation (4) into equation (2) and (3)

Multiply through by;

Expand;

Simplify;

Equation (4) in (3)





Put equation (6) into equation (5)




z=3
Put z=3 into equation (6)
y=2(3)-4=2
Put y=2 and z=3 into equation 4

The solution is x=1,y=2,z=3