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Luba_88 [7]
3 years ago
5

A line has a slope of - 2/3 and passes through the point (-3, 8) what is the equation of the line

Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

y - 8 = (-2/3)(x + 3)

y - 8 = (-2/3)x - 2

y = (-2/3)x + 6

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

5 0
3 years ago
3) "The difference between twice a number and 17 is no more than 13."*
stellarik [79]

Answer:

c<15

Step-by-step explanation:

2x+17 < 13

7 0
3 years ago
The first person to answer correctly will get brainliest 5 stars AND a thank you!!!!
Travka [436]

Answer:

A translation

Step-by-step explanation:

:)

5 0
3 years ago
Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
SVETLANKA909090 [29]
You need to figure out how many square feet one paint can will be able to paint, then take the 24 square feet and divide it by the how much the paint can can paint, then you’ll have how many paint cans you need
0 0
3 years ago
25 — 3x = 40<br> x =<br><br> Please answer quick thanks
Keith_Richards [23]

Answer:

x=-5

Step-by-step explanation:

-3x+25=40. You want to isolate x so you have to subtract 25 from both sides. -3x=15. We then want x to be isolated so we have to divide both sides by -3 to make x by itself. x=-5. Therefore, x=-5.

If this helps please mark as brainliest

4 0
2 years ago
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