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3 years ago

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1 answer:

Brrunno [24]3 years ago

3 0

The answer is 7
Dkdoenoemwowmw

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The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.

Helga [31]

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

5 0

2 years ago

The area of a circular oil slick on the surface of the sea is increasing at a rate of [150m^2/s] how fast is the radius changing

Akimi4 [234]

Answer with Step-by-step explanation:

We are given that

$\frac{dA}{dt}=150m^2/s$

a.Radius =25 m

We have to find rate of change of radius.

We know that

Area of circle, $A=\pi r^2$

Differentiate w.r.t time

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

Substitute the values then we get

$150=2\pi (25)\frac{dr}{dt}$

$\frac{dr}{dt}=\frac{150}{50\pi}=\frac{3}{\pi} m/s$

$\frac{dr}{dt}=\frac{3}{\pi} m/s$

b.A= $1000m^2$

Substitute the values then we get

$1000=\pi r^2$

$\pi=3.14$

$r^2=\frac{1000}{3.14}$

$r=\sqrt{\frac{1000}{3.14}}=17.8m$

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

Substitute the values then we get

$150=2\pi(17.8)\frac{dr}{dt}$

$\frac{dr}{dt}=\frac{150}{2\pi(17.8)}=\frac{150}{35.6\pi}$ m/s

$\frac{dr}{dt}=\frac{75}{17.8\pi}$ m/s

4 0

3 years ago

A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $58. The total cost to re

schepotkina [342]

Answer:

Equations::

4c + 8t = 58

2c + 3t = 23

----------------

Modify for elimination:

4c (4c*1) + 8t (8t*1)= 58

4c (2c*2) + 6t (3t*2)= 46

---------------------

Subtract and solve for "t":

2t (8t-6t) = 12

t = $6 (cost of one table)

-----

Solve for "c":

2c + 3t = 23

2c + 18 = 23

2c = 5

c = $2.50 (cost of one chair)

7 0

3 years ago

N76 [4]

B is the answer

Hope this helps.

3 0

4 years ago

What is the area of this rectangle? (the length is 3x2y and the width being 5x6y2)

Zigmanuir [339]

360x^2y^2 is the answer

7 0

3 years ago