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velikii [3]
3 years ago
6

What is the slope of the line passing through (-3, 5) and (5, -3)?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0
Dy/dx, ie., the difference in y divided by the difference in x. If you have two points A and B, sort them in ascending order of x.

dx = 5 - -3 = 8 (x coordinates of B minus x coordinate of A)
dy = -3 - 5 = -8 (y coordinate of B minus y coordinate of A)

dy/dx = -1

So the slope is -1. The equation of the line is y=2-x.
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A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

  • Radius, r = 3
  • Height, h = 7
  • Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

V = \frac 13\pi r^2h

This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

7 0
2 years ago
Simplify.
natima [27]
Its 2y+7z hope dis helps
5 0
3 years ago
Read 2 more answers
Find the gradient of the line<br> 2y - 8x = -2
natima [27]

answer:

gradient is 4

Step-by-step explanation:

gradient is another way of saying slope

slope in the math is often used to show the speed of something

it's the m in y= mx+b

make the equation look like

y = mx + b

2y - 8x = -2

2y = 8x - 2

y= (8x-2)/2

y=4x-1

gradient is the number next to x

answer : gradient is 4

8 0
2 years ago
Read 2 more answers
Simplify the expression. Explain each step:<br> 1. 3.5 + (x + 2.7)<br> 2. (8 x k) x 4
barxatty [35]
In a way, you are adding like terms.
3.5 + 2.7 = 6.2, therefore making the answer 6.2 + x

The brackets can be ignored so you are really just asked 8 x 4 x k. 8 x 4 =32 so you end up with 32k
8 0
3 years ago
an elevator in a skyscraper rises 240 feet in 1/5 minute. What is the elevator's rate in feet per minute?
Nutka1998 [239]

Answer:

1200

Steps to answer the problem:

1/5 of a minute goes in to 1 minute 5 times

5 x 240 = 1200

8 0
2 years ago
Read 2 more answers
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