Answer:
Area of the lawn = 62493π m^2
Step-by-step explanation:
It seems that the y-intercept is 1, so you will be adding 1 to the equation. When you make a chart, you find that each number grows by 1 as well.
From this information, you will find that the answer is
y = x + 1
Answer: The equation that would help members to find how much they would pay per month is
40 + 12x = 460
Step-by-step explanation:
Let x represent the amount of money that members would pay per month.
Let y represent the number of months for which a member uses the gym.
There is a fee of $40 when you join, and the rest is paid monthly. This means that the cost of using the gym for x months would be
40 + xy
A one year membership to metro gym costs $460. Therefore are 12 months in a year. Therefore,
40 + 12x = 460
12x = 460 - 40 = 420
x = 420/12 = 35
The equation that would help members to find how much they would pay per month is
Answer:
58
Step-by-step explanation:
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
