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mina [271]
3 years ago
15

Marcus lives 1,250 yards from school. Evan lives 3,720 feet from school. Who lives the closest to school?

Mathematics
2 answers:
vovikov84 [41]3 years ago
8 0

Answer: Evan lives closer.

Step-by-step explanation: 1,250 yards to feet is 3,750 feet. So Evan is closer.

balu736 [363]3 years ago
6 0

3 ft. = 1 yard

1,250 × 3 = 3,750

Evan lives closer to school.

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The path of the ball is an illustration of absolute equation.

The equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

The given parameters are:

(h,k) = (4.8,6.4) --- the vertex (i.e. the point where the ball hits the wall)

(x_1,y_1) = (2,1.6)

(x_2,y_2) = (7.6,1.6)

An absolute function is represented as:

y = a |x - h| + k

Substitute (h,k) = (4.8,6.4)

y = a |x - 4.8| + 6.4

Substitute (x_1,y_1) = (2,1.6) for x and y

1.6 = a|2 - 4.8| + 6.4

1.6 = a|- 2.8| + 6.4

Remove absolute bracket

1.6 = 2.8a + 6.4

Collect like terms

2.8a = -6.4+1.6

2.8a =- 4.8

Solve for a

a =-\frac{4.8}{2.8}

Simplify

a =-\frac{12}{7}

Substitute a =-\frac{12}{7} in y = a |x - 4.8| + 6.4

y =- \frac{12}7|x- 4.8| + 6.4

Hence, the equation of the path is: y =- \frac{12}7|x- 4.8| + 6.4

See attachment for graph that models the path

Read more about absolute equations at:

brainly.com/question/2166748

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siniylev [52]

Answer:

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