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m_a_m_a [10]
3 years ago
12

Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negativ

e 6 x minus 1 y = 6 x minus 1
Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

[see below]

Step-by-step explanation:

Finding the slope of the two points:

m=\frac{-17+5}{3-1}=\frac{-12}{2}=\boxed{-6}

The slope is -6.

Using an incomplete slope-intercept form equation to find the y-intercept:

y=6x+b\\\\-5=6(1)+b\\\\-5=6+b\\\\-5-6=6-6+b\\\\\boxed{1=b}

The equation for the line passing the points is y=-6x+1.

The equation in standard from would be 6x+y=1.

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7 0
3 years ago
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A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

3 0
3 years ago
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What is 66% of 75? <br> 25 <br> 33 <br> 40 <br> 49.5 <br> 66
Alja [10]
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5 0
3 years ago
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Complete the<br> proportion<br> 3 is to 4 as 75 is to...
kolezko [41]

Answer: 100

Step-by-step explanation:

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3 0
2 years ago
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