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3 years ago

Two buses leave a station at the same time and travel in opposite directions. One bus travels

Mathematics

1 answer:

natima [27]3 years ago

4 0

Answer:

63 miles per hour

54 miles per hour

Step-by-step explanation:

Let the two buses be represented as bus A and bus B.

bus A and bus B leave a station at the same time and travel in opposite directions.

Let the speed of bus A be A miles per hour.

Let the speed of bus B be B miles per hour.

One bus travels 9 miles/hour slower than the other.

Let bus A be the faster bus.

This means that the speed of bus B is B = A - 9

If the two buses are 585 miles apart after 5hours, this means that after 5hours, the total distance travelled by bus A and bus B is 585 miles.

Distance travelled by bus A in 5 hours = speed × time = 5A

Distance travelled by bus B in 5 hours = speed × time = 5B

5A + 5B = 585 - - - - - -1

Substituting B = A - 9 in equation 1

5A + 5(A - 9) = 585

5A + 5A - 45 = 585

10A = 585 + 45 = 630

A = 630/10 = 63 miles per hour

B = A - 9 = 63 - 9 = 54 miles per hour

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3 years ago

Write an equation of the circle with center (-7, 4) and radius 8.

Stels [109]

answer

(x+7)^2 + (y-4)^2 = 64

set up equation

the equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where h is the center x coordinate and k is the center y coordinate

values

from the point (-7,4) we know that h = -7 and k = 4

since the radius is 8, r^2 = 8^2 = 64

plug in values

now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

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3 years ago

Write the quadratic equation in standard form: 3x2 – X – 4= -30 x

zhuklara [117]

Answer:

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Step-by-step explanation:

3x²-x-4=-30x

0=-30x-3x²+x+4

0=-3x²-29x+4

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2 years ago

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laila [671]

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if the exponent was a positive it would be 3.2 *10^4 = 32,000

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2 years ago

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alex41 [277]

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Step-by-step explanation:

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3 years ago