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otez555 [7]
3 years ago
7

Graph by using the slope and the y intercept.

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

1. a) equation of the line :

  • y =  \dfrac{2}{5}x   - 7

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

  • y =  (\dfrac{2}{5}  \times 5) - 7

  • y = 2 - 7

  • =  - 5

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

  • y =  - 3x + 5

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

  • y =(  - 3 \times 1) + 5

  • y =  - 3 + 5

  • y = 2

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

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vitfil [10]

The slope of the line passes through the points (-5,6) and (-3,2) is 2.

<h3>What is a slope?</h3>

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that the line that passes through the points (-5,6) and (-3,2).

The slope of the line is calculated by the formula,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 6 - 2) / ( -3 + 5)

Slope = 4 / 2

Slope = 2

Therefore, the slope of the line passes through the points (-5,6) and (-3,2) is 2.

To know more about slopes follow

brainly.com/question/3493733

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7 0
1 year ago
4x + 8y=20<br> 3x+6y=15<br> solve this system of equations
laila [671]
4x=20-8y

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3(5-2y)+6y=15

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15=15  This is true for any y or x value.

So there are infinitely many solutions as the two equations describe the same line.
5 0
3 years ago
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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

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DREE POINTS!! If u answer my math questions correctly I’ll make another DREE points.
garri49 [273]

Answer:

Just look it up. I checked and it shows all the correct answers.

Step-by-step explanation:

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2 years ago
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In 14.987 what place value is the 7 in
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