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3 years ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!!

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

<u>Here</u><u>,</u>

Two points given: (3,1) and (7,-7)

$slope(m) = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{ - 7 - 1}{7 - 3} \\ \: \: \: \: \: \: \: \: \: = \frac{ - 8}{4} \\ \: \: \: \: \: \: \: \: \: \: = - 2 \\$

Equation of line is y= Mx+b

y= -2x +b

It passes through (3,1)

$1 = - 2(3) + b \\ 1 = - 6 + b \\ - b = - 6 - 1 \\ - b = - 7 \\ b = 7$

Equation of line:

Hope this helps..

Good luck on your assignment..

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3 years ago

A car rental agency advertised renting a car for $ 26.95$26.95 per day and $ 0.28$0.28 per mile. If GregGreg rents this car for

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3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

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By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

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3 years ago

Add: - 14 + (-12) + 4

spin [16.1K]

Answer:

-22

Step-by-step explanation:

-14+(-12）+4

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2 years ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

SOMEONE PLEASE HELP ME ASAP PLEASE!!!