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Tomtit [17]
3 years ago
14

What is the equation of a line that passes through the points (0, 5) and (4, 8)?​

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (4, 8)

m = \frac{8-5}{4-0} = \frac{3}{4}

Note the line crosses the y- axis at (0, 5) ⇒ c = 5

y = \frac{3}{4} x + 5 ← equation in slope- intercept form

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4 years ago
Help please !!! I don’t know what to do
Hatshy [7]

9514 1404 393

Answer:

  6.  x = 3

  8.  x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

__

6) g(x) = -x +5

  2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

  x +2 = 5 . . . . . . . . . . add x to both sides

  x = 3 . . . . . . . . . . . . . subtract 2 from both sides

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8) n(x) = -2x -21

  -6 = -2x -21 . . . . . n(x) is replaced by its equal: -6

  3 = x +10.5 . . . . . . divide both sides by -2

  -7.5 = x . . . . . . . . . subtract 10.5 from both sides

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<em>Additional comment</em>

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

  2  -x +5

  -3 = -x . . . .  subtract 5

  3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

3 0
3 years ago
4/5 = what % help me
soldier1979 [14.2K]

Answer:

4/5 = 80%

Step-by-step explanation:

4/5 can be multiplied by 20 to get 80/100. Percent is out of hundredths so it becomes 80%.

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Answer:

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Step-by-step explanation:

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2 years ago
This distance time graph represents a journey made by jo what did jo do at minute 10
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Answer:

Speed = 0.1333 km/minute

Step-by-step explanation:

According to the graph :

At 10 minutes, it could be observed that the Distance moved started to reduce until distance moved reached 0 at 20 minutes. This could be interpreted as a case of negative acceleration (that is deceleration) whereby the distance covered started to decrease with time until the it rest at 0.

Speed during the last 30 minutes :

Speed = distance / time

Distance moved during this period :

Distance (from 0 to 4km)

Time = (from 30 to 60 minutes)

Speed = (4 - 0) / (60 - 30)

Speed = 4 / 30

Speed = 0.13333 km per minute

8 0
3 years ago
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