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snow_lady [41]
3 years ago
15

What is an equation of the line that passes through the points (7, 4) and ( -5, 4)?

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0

Answer:

y = 4

Step-by-step explanation:

To find the slope, you plug the coordinates into the slope formula.

y2 - y1/ x2 - x1

= 4 - 4/ -5 - 7

= 0

The slope is 0.

To find the y-intercept, y = 0x + b

4 = 0(7) + b

4 = 0 + b

4 = b

The equation is y = 4

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A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa
Alex_Xolod [135]

Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write  

\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}

⇒ AC = 1.7 \times \cos 28 = 1.5 nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

3 0
3 years ago
Martin burns 360 calories running for 30 minutes. Paul burns 165 calories for every 15 minute he runs. If Kara runs for 20 minut
Yanka [14]

Answer:  She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.

Step-by-step explanation:

Martin:

360 calories / 30 min = 12 calories/min

Paul:

165 calories / 15 min = 11 calories/min

Kara:

Needs to burn between 11 and 12 calories/min, so we'll calculate the range:

11 calories/min x 20 min = 220 calories (minimum # calories she can burn)

12 calories/min x 20 min = 240 calories (maximum # calories she can burn)

7 0
3 years ago
Use the explicit formula an = a + (n-1). d to find the 500th term of the
nadezda [96]

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

8 0
3 years ago
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Goryan [66]

Answer:

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Step-by-step explanation:

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3 years ago
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