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Greeley [361]
3 years ago
7

Passing through (-5,4) with slop -3 ?

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Hey there! :)

Answer:

y = -3x - 11

Step-by-step explanation:

Use the formula y = mx + b to write an equation, where:

y = y-coordinate of point

x = x-coordinate of point

m = the slope

Plug in the known coordinates and slope:

4 = -3(-5) + b

Simplify:

4 = 15 + b

4 - 15 = b

-11 = b

Rewrite the equation:

y = -3x - 11

Olegator [25]3 years ago
3 0

Answer:

y = -3x - 11

Step-by-step explanation:

Enter values in point slope formula y - y1 = m ( x - x1 )

y - 4 = -3 ( x + 5 )

Distribute the -3.   y - 4 = -3x - 15

Add 4 to both sides.  y = -3x - 11

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3 years ago
What is the square root of 504 simplified ?
Reil [10]

Answer:

6\sqrt{14}

Step-by-step Explanation:

     To simplify \sqrt{504}, we will look for numbers that 504 can be divided by until there are no perfect square roots under the radical.

[] To do this, we can think of perfect square roots such as 4, 9, 16, etc

We can divide 504 by 36 for an answer of 14, so \sqrt{504} can be written as \sqrt{36*14} which can be written as 6\sqrt{14} because the square root of 36 is 6.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

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8 0
2 years ago
of the pets in the pet show 5/6 are cats.4/5 of the calico cats what fraction of the pets are calico cats
Bond [772]
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3 0
3 years ago
The radius r(t)r(t)r, (, t, )of the base of a cylinder is increasing at a rate of 111 meter per hour and the height h(t)h(t)h, (
sp2606 [1]

Answer:

The volume is decreasing at a rate 20π cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

The radius is increasing at a rate 1 meter per hour.

\dfrac{dr}{dt} = 1\text{ meter per hour}                

The height is decreasing at a rate 4 meter per hour  

\dfrac{dh}{dt} = -4\text{ meter per hour}

At an instant time t,

r = 5 meter

h = 8 meters

Volume of cylinder =

\pi r^2 h

where r is the radius and h is the height of the cylinder.

Rate of change of volume is given by:

\dfrac{dV}{dt} = \dfrac{d(\pi r^2 h)}{dt}\\\\\dfrac{dV}{dt} = 2\pi rh\dfrac{dr}{dt} + \pi r^2\dfrac{dh}{dt}

Putting all the values we get,

\dfrac{dV}{dt} = 2\pi (5)(8)(1) + \pi (5)^2(-4)\\\\\dfrac{dV}{dt} = 80\pi - 100\pi = -20\pi \approx -62.8

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.      

3 0
3 years ago
Suppose you work in a grocery store 4 hours on Friday and 5 hours on Saturday. You earn $6.25 an hour.
Shalnov [3]

Answer:

If the quetion is how much money I earned on both days it would be 56.25

Step-by-step explanation:

4hours times 6.25 an hour = 25 now we do 5hours times 6.25 an hour = 31.25 so add them to get 56.25

5 0
3 years ago
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