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3 years ago

What is the equation of a line that passes through the point (-4,4) and has a slope of -2

Mathematics

1 answer:

Lyrx [107]3 years ago

6 0

Equation is 2x + y = -4

Step-by-step explanation:

Step 1: Use the point slope form to get the equation. The point is (x1, y1) = (-4, 4) and slope, m = -2

Point slope Form ⇒ y - y1 = m(x - x1)

⇒ y - 4 = -2(x - -4)

⇒ y - 4 = -2(x + 4)

⇒ y - 4 = -2x - 8

⇒ 2x + y = -4 is the equation

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Need help with two questions please

balandron [24]

Answer:

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range of f(x) is -inf to +inf

Step-by-step explanation:

the cubic power doesnt affect the sign

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2 years ago

A car increased price by 3/4. after the increase it was priced at £84 what was the original price???

olga55 [171]

Answer: I think this is how we do it but i am not sure the answer is 48

Step-by-step explanation:

if the price increase by 3/4 then that mean it total will be 7/4 as 4/4 is it original price add so 7/4=84/x 84x4 is 336 336 divide by 7 is 48 to check 48 x 7/4 or 48 x 3/4 and add 48 if u math is correct than u should get 84

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2 years ago

Somebody help me with this 30 points ☺️

brilliants [131]

Answer:

4r- 21

Step-by-step explanation:

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2 years ago

Find the distance between these points. A(5,8), B(-3,4)

konstantin123 [22]

Answer:

Distance between the points is 8.94 units

Step-by-step explanation:

General formula:

${ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}$

substitute:

${ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units$

${ \underline{ \sf{ \blue{christ \: † \: alone}}}}$

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2 years ago

Read 2 more answers

Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a

Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
Available time = 360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * Wide
Volume of the pool = 2 m * 10 m * 8 m
Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal
160 m^3 ⇒ x

And we calculate:

$x = \frac{160 m^{3}*264.172 gal }{1m^{3} }$ (We cancel the unit "m^3)
x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool = $\frac{42267.52gal}{130\frac{gal}{min} }$ (We cancel the unit "gallon")
Time to drain the pool = 325.1347692 minutes
Time to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

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2 years ago