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3 years ago

Suppose the equation of a line is 2x − 4y = − 8. Which coordinate pair represents the y-intercept?

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

4 0

Answer:

(0,2)

Step-by-step explanation:

Convert the equation to <em>y=mx+b</em>.

You get y=1/2+2.

Since x is always 0 in your y-intercept and the y value is equal to <em>b, </em>you get (0,2) as your coordinate pair.

Amanda [17]3 years ago

4 0

Answer:

(0,2)

Step-by-step explanation:

Given equation is :

2x-4y=-8

y=mx+b is slope-intercept form of equation of a line where m denotes slope and b denotes y-intercept.

We have to transform given equation into slope intercept form.

2x-4y=-8

Adding -2x to both sides of above equation,we get

-2x+2x-4y=-2x-8

0-4y=-2x-8

-4y=-2x-8

Dividing by -4 to both sides of above equation,we get

-4y / -4=(-2x-8) / -4

y= 1/2x+2 is slope intercept form of given equation where slope is 1/2 and y-intercept is 2.

y-intercept is a point where x is zero.

Hence ,(0,2) represents the y-intercept of given equation.

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Sedbober [7]

Faithful representation information that is complete, neutral, and free from error

5 0

3 years ago

A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

3 years ago

4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays

Oxana [17]

Two possible solutions are: (4.5, 8.5) and (8, 6.3)

<h3>How to graph the inequality?</h3>

Let x represents hours dog walking and y represents hours washing cars.

So, we have:

Earnings = Rate of dog walk * x + Rate of car wash * y

This gives

Earnings = 7x + 11y

He wants to earn at least $125.

This means that:

7x + 11y ≥ 125

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)