All categories

3 years ago

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Mathematics

1 answer:

Rus_ich [418]3 years ago

5 0

Answer: -1/3

Step-by-step explanation:

Slope is the difference between the y coordinate points divided by the x coordinate points

We have (-1, 2) and (-4, 3)

Slope = 3 - 2/ -4 - (-1)

Slope = -1/3

You might be interested in

There are 45 employees who each put in 97 hours on a project. What are the total number of hours worked on the project?

Bingel [31]

45 employees each put in 97 hours, so 45 multiplied by 97.

$45*97=4,365$

Your answer is a. 4,365.

5 0

3 years ago

Read 2 more answers

Check all that apply. π/3 is the reference angle for: <br>A.7π/3<br>B.19π/3<br>C.2π/3<br>D.15π/3

Citrus2011 [14]

Answer:

A,B,C

Step-by-step explanation:

A.p.e.x

5 0

3 years ago

Can you help me please

gayaneshka [121]

Answer:

use www. desmos. com lol

Step-by-step explanation:

5 0

2 years ago

So what exactly is a,b,c

Gala2k [10]

If you’re talking about answers a would be the option first b would be 2nd and c would be 3rd

4 0

3 years ago

A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago