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Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
y+2 = 3x
subtract 2 from each side
y = 3x-2
The answer would be A) 2,640.
In order to find this we must first find an amount of people per square feet. Since we are given that 10 people fit in a 5x5 square, we know that 10 people fit in 25 square feet. This will be the basis for our final calculation.
Now we need to find how many square feet we have. Since it is a quarter of a mile long, we'll divide the number of feet in a mile by 4.
5,280/4 = 1320.
Now we take the length and multiply it by the width, which is 5ft.
1320 * 5 = 6,600 square feet.
So we now know the size of the crowd. We can use that and multiply it by the factor that we found at the start to find the number of people.
6,600 square feet * 10 people/ 25 square feet = 2,640 people.
Answer:
I'm sorry, I think you mistyped, but the answer for this is 53.130997227947970715758049612623
Have a nice day! :)
-Vana
