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german
3 years ago
5

A car travels at an average speed of 90 km per hour.

Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0

9514 1404 393

Answer:

  270 km

Step-by-step explanation:

Distance is related to speed and time by ...

  distance = speed · time

  distance = (90 km/h)(3 h) = 270 km

The car will travel 270 km in 3 hours.

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Step-by-step explanation:

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If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?
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Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

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Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

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Step-by-step explanation:

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