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FinnZ [79.3K]
3 years ago
7

What are the factors of 12t

Mathematics
1 answer:
motikmotik3 years ago
7 0
The factors of 12 are: 1, 2, 3, 4, 6, 12

1 × 12
2 × 6
3 × 4
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M stands for the slope (change in Y/ change in X)

B stands for the y intercept

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I need help on 14 and 15 please help<br> J
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14 is true because all even numbers are multiples of two.
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Write an equation of the line and interpret the slope.​
coldgirl [10]

Answer:

y=-100x+700

Step-by-step explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

4 0
3 years ago
16oz=1 pound blank ounces equal 4.5 oz
nevsk [136]
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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
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