Answer:
The true statement is h < k ⇒ (3)
Step-by-step explanation:
∵ The equation of the graph is y = 
+ k
∵ (-h, k) are the coordinates of its vertex point
∵ -h is the x-coordinate of the vertex point
∵ x-coordinate of the vertex point is -3
∴ -h = -3
→ Divide both sides by -1
∴ h = 3
∵ k is the y-coordinate of the vertex point
∵ y-coordinate of the vertex point is 4
∴ k = 4
∵ 3 < 4
→ That means h is smaller than k
∴ h < k
∴ The true statement is h < k
Answer:
Step-by-step explanation:
the geo. mean is the nth root of the product of n numbers
Here there are two numbers; geo. mean is the square root of their product
g = √(16 * 36)
g = 4 * 6
g = 24
Answer:
C. 60
Step-by-step explanation:
x + 10 = 70
Subtract 10 from both sides
x + 10 - 10 = 70 -10
Simplifying
x = 60
Answer: the length of string that been let out to fly the kite this high is 172.89 ft
Step-by-step explanation:
The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.
With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.
The height of the kite above the ground represents the opposite side of the triangle
To determine h, the length of the string that has been let out to fly the kite this high, we would apply the
Sine trigonometric ratio which is expressed as
Sine θ = opposite side/hypotenuse
Sin 57 = 145/h
h = 145/Sin57 = 145/0.8387
h = 172.89
The answer is b because volume=length x width x height
