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2 years ago

What is the slope intercept form of (4,0) and (0,2)

Mathematics

1 answer:

Shalnov [3]2 years ago

3 0

Answer:

$\huge\boxed{y=-\dfrac{1}{2}x+2}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

$m$ - slope

$b$ - y-intercept (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

=========================================

We have two points (4, 0) and (0, 2) → $b=2$

Calculate the slope:

$m=\dfrac{2-0}{0-4}=\dfrac{2}{-4}=-\dfrac{2:2}{4:2}=-\dfrac{1}{2}$

Finally:

$y=-\dfrac{1}{2}x+2$

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One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to

Ainat [17]

Answer: 12 hours

Step-by-step explanation:

Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open

1/6 = portion of pool filled per hour by the inlet pipe

1/12 = portion of pool emptied per hour by the drain

1/x = portion of pool filled per hour if the inlet pipe and drain are both open

Then, 1/6 - 1/12 = 1/x

Multiply by the LCD, 12x, to obtain

2x - x = 12

x = 12 hours

5 0

3 years ago

Nonsense will be Reported!!

USPshnik [31]

Step-by-step explanation:

1. when x is 0

y will be

4x+2y=10

4(0)+2y=10

0+2y=10

collect like terms

2y=10-0

2y=10

divide both sides by 2

2y/2=10/2

y=5

so when x =0 y will equal to 5

2. when x is 1

y will be

4x+2y=10

4(1)+2y=10

4+2y=10

collect like terms

2y=10-4

2y=6

divide both sides by two

2y/2=6/2

y=3

so when x is 1, y is 3

3. when x is 2

4x+2y=10

4(2)+2y=10

8+2y=10

(CLT) 2y=10-8

2y =2

y= 1

6 0

2 years ago

Read 2 more answers

Describe how you would classify the shape below on the hierarchy. Start at the top and describe how you know if the shape fits i

Bingel [31]

I would classify that shape as a pentagon because it has 5 sides/edges.

It is shaped like the houses in the old times.

Hope I helped :) :)

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3 years ago

The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the

yarga [219]

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

5 0

3 years ago

Read 2 more answers

Yeah I know pretty easy I’m just lost so can anyone help put

alekssr [168]

Options A,C,D and E are the correct answers

5 0

3 years ago