The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 45x + 20
Car B
y = 35x + 60
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
3 hours, 200 miles
3 hours, 180 miles
4 hours, 200 miles
4 hours, 180 miles

Answers

Answer 1

Answer: Given the equations for cars A and B, we are to find the time when their distances would be the same. Since y is the distance, we have to equate both expressions in terms of y to solve for the time (x):

y = 45x + 20
y = 35x + 60

45x + 20 = 35x + 60
45x - 35x = 60 - 20
10x = 40
x = 4 ; after 4 hours, they will be at the same distance from the starting point.

Using the obtained value of x, we solve for the distance using either of the equations:

y = 45(4) + 20
y = 180 + 20
y = 200

y = 35x + 60
y = 35(4) + 60
y = 140 + 60
y = 200

Therefore, the correct answer is 4 hours, 200 miles

Answer 2

Answer:

Answer:

4 hours, 200 miles

Step-by-step explanation:

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Answers

This is equal to (x -5)(x - 5), or (x - 5)².
Therefore, using the formula given above, the side's length is equal to (x - 5).

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So it would become 3x^4 -x + 2 + 9x^5 - x² + x.

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The locus of the equation xy + yz = 0 isA) a pair of perpendicular planes
B) a pair of parallel planes
C) a pair of straight lines
D) None of these

Answers

Answer:

it's A

Step-by-step explanation:

The locus represented by the equation xy+yz=0 is a pair of perpendicular planes

just graph it

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Answers

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Answers

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A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid. Which answer explains one way that the length of this line segment can be determined? A. Add 9 + 4. B. Add 4 + 1. C. Subtract 9 – 4. D. Subtract 4 – 1.

Answers

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