The answer to the question is D
Answer:
Step-by-step explanation:
Answer:
20 visits
Step-by-step explanation:
The club that charges $40 more for enrollment charges $2 less per visit. The savings on visits is equal to the extra enrollment charge when the number of visits is 40/2 = 20.
For 20 visits, the cost at both clubs is the same.
__
If you let v represent the number of visits, ...
A = 60 +2v . . . . cost at club A
B = 20 +4v . . . . cost at club B
A = B ⇒ 60 +2v = 20 +4v . . . . . . costs are the same for "v" visits
40 = 2v . . . . . . . subtract 20+2v from both sides
40/2 = v = 20 . . . . . . same as "word solution" above
Model of Statue of Liberty is 30.6 feet tall.
<u>Step-by-step explanation:</u>
Given the Statue of Liberty is 306 feet tall. If the model is 1/10 the actual size of the Statue of Liberty.
Actual size of the statue = 306
Model is 
of the actual size of the Statue of Liberty
Height of model = of the actual size
= * 306
= 30.6 feet
Model of Statue of Liberty is 30.6 feet tall.
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
