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EleoNora [17]
3 years ago
8

What is the slope-intercept equation for this line?

Mathematics
2 answers:
miskamm [114]3 years ago
8 0

Answer:

the slope intersection is xy

Naddik [55]3 years ago
4 0
<h3>Answer:</h3>

y=-3x+4

<h3>Solution:</h3>
  • We are given 2 points: (1,1) and (0,4)
  • We can use these points to find the slope of the line:
  • m=\displaystyle\frac{y2-y1}{x2-x1}
  • \displaystyle\frac{4-1}{0-1}
  • \displaystyle\frac{3}{-1}
  • -3
  • Now, let's identify the y-intercept.
  • The y-intercept is the point where the graph touches the y-axis.
  • Since the graph touches the y-axis at (0,4) the y-intercept is equivalent to (0, 4) or 4.

Hope it helps.

Do comment if you have any query.

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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

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If triangle ocd ≅ triangle JAL, then which of the following statements are true?
Roman55 [17]

Answer:

I III and IV

Step-by-step explanation:

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Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?
zysi [14]

Answer:

  215°

Step-by-step explanation:

Add multiples of 360° until you get an angle in the desired range:

  ∠B = -865° + 3×360° = 215°

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Answer:

The only two that share both of these qualities are the isosceles triangle and the isosceles right triangle.

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