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2 years ago

Write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3

Mathematics

1 answer:

mixer [17]2 years ago

4 0

Answer:

y=-3x+12

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-3(x-2)

y-6=-3x+6

y=-3x+6+6

y=-3x+12

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One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = $3x$

Rate to complete the job by another watering system = $\frac{1}{x}\ job/min$

Rate to complete the job by One watering system = $\frac{1}{3x}\ job/min$

Rate at which both can complete the job = $\frac{1}{9}\ job/min$

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

$\frac{1}{x}+\frac{1}{3x}=\frac19$

Now taking LCM to make the denominator common we get;

$\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}$

By Cross multiplication we get;

$4\times9 =3x\\\\3x =36$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min$

Time required by One watering system = $3x =3\times 12 =36\ min$

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0

3 years ago

What is the circumference of the circle shown below?

Wittaler [7]

I think the answer is D but in not sure

7 0

3 years ago

Read 2 more answers

If 4 gal of premium unleaded gasoline costs $15.04, how much would it cost to completely fill a tank whose capacity is 9-gal?

Sveta_85 [38]

Answer:

$33.84 cents

Step-by-step explanation:

Given the following question:

4 gallons = 15.04
1 gallon = ?

How much for 9 gallons?

To find the answer we have to find how much one-gallon costs since we already know how much it costs for 4 gallons of this unleaded gasoline.

$15.04\div4$
$15.04\div4=3.76$
$=3.76$

One gallon of this gasoline costs $3.76 now we need to find how much it costs for 9 gallons.

$3.76\times9=33.84$
$=33.84$

For nine gallons of gasoline it will cost you "$33.84 cents."

Hope this helps.