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2 years ago

What is the slope intercept form of the equation 2y+3x=-8

Mathematics

2 answers:

antoniya [11.8K]2 years ago

8 0

Answer:

y=-1.5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Bring x over to the other side

2y=-8-3x

divide by 2

y=-4-1.5x

y=-1.5x-4 should be your equation in slope-intercept form

BARSIC [14]2 years ago

7 0

Answer:

Step-by-step explanation:

Slope intercept form : y = mx+ b

2y + 3x = -8

2y = -3x - 8

Divide the entire equation by 2

$\dfrac{2y}{2}= \dfrac{-3}{2}x- \dfrac{8}{2}\\\\y= \dfrac{-3}{2}x - 4$

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A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are

Katarina [22]

Answer: Area = 6m²

Smaller number = 16

Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m 2) w = x + 1 m

l = x + 5 m l = x + 5 - 2 = x + 3 m

A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2

A₁ = A₂

x² + 5x = x² + 3x + 2

5x - 3x = 2

2x = 2

x = 1

A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

2 = x

5 40

5x = 80

x = 80/5 = 16

Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers hours

16 3

5 x

↑ ↓ inversely proportional

5 = 3

16 x

5x = 16*3

5x = 48

x = 48/5

x = 9.6 h

6 0

3 years ago