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Vera_Pavlovna [14]
2 years ago
6

Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

Mathematics
1 answer:
dusya [7]2 years ago
4 0

Answer:

  • slope: 1
  • equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3

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The perimiter of a rectangle is 90 the length is 27 what is the width
nikdorinn [45]

Answer:

18

Step-by-step explanation:

8 0
3 years ago
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Solve the system of equations and choose the correct answer from the list of options.
Igoryamba

Answer:

x = -6/5

y = -8/5

Step-by-step explanation:

2x + y = -4

Y = 3x + 2

Substitute the second equation into the first equation

2x + 3x+2 = -4

Combine like terms

5x +2 = -4

Subtract 2 from each side

5x+2-2=-4-2

5x = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Now we need to find y

y = 3x+2

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y = -8/5

5 0
3 years ago
Solve the following equation for x.
Drupady [299]

Answer:

6 {x}^{2}  + 54x + 120 = 0 \\ factors :  4 \: and \:  5 \\ =  (6x  + 24)(x + 5) \\   =  > x =  -4 \: and \:  - 5

5 0
3 years ago
Convert y + 3 = -3(x + 5) to standard form.
emmasim [6.3K]
Hi there!

y  + 3 =  - 3(x + 5)
First we need to work out the parenthesis, which can for instance be done using rainbow technique.

y + 3 =  - 3x  -  15
Now subtract 3 from both sides.

y =  - 3x  - 18
And finally add 3x to both sides.

3x + y =  - 18
The 4th answer choice is correct.



6 0
4 years ago
BRAINLIEST!!!
Liula [17]

Answer:

SA = 615.4 yd²

Step-by-step explanation:

The surface area (SA) of a sphere is calculated as

SA = 4πr² ← r is the radius

Here diameter = 14, thus r = 14 ÷ 2 = 7, then

SA = 4π × 7² = 4π × 49 = 196π = 196 × 3.14 ≈ 615.4 yd²

8 0
3 years ago
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