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3 years ago

What is the slope of the line that passes through the points (1, -8) and (-5, 10)?

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

You have two points A ( X;Y) and B ( X ; Y)

slope is : ( Yb -Ya) / (Xb -Xa )

A (1; -8) B ( -5 ; 10)

so : ' (10 - -8 ) / ( -5 - 1) = 18 /-6 = -3

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W=9000+250t. How many gallons of water are being pumped out each hour? After 11 hours, how many gallons of water is being left i

3241004551 [841]

Answer:11750

Step-by-step explanation:

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3 years ago

What are the first five common multiples of 4 and 7

denis23 [38]

Easy, just write out the multiple of the numbers.

4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60

7: 7,14,21,28,35,42,49,56,63,70

Etc.

But a few common multiples:

28,56,84,112,140

These are the first 5 common multiples of 4 and 7.

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4 years ago

An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all

Radda [10]

Answer:

The correct options are 3, 4 and 5.

Step-by-step explanation:

It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.

It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).

The ball falls at a rate of 50 ft per minute. So, the rate of change is

$m=-50$

The height of balloon is defined as

$h(x)=-50x+1000$ $[\because y=mx+b]$

Where, x is time in minutes.

The balloon will reach the ground when h(x)=0

$0=-50x+1000$

$50x=1000$

$x=20$

Therefore the options 3, 4 and 5 are correct.

4 0

3 years ago

Evan has a storage unit that he keeps all his garden tools in. It measures 4 feet by 312 feet by 2 feet.A prism has a length of

Alexxandr [17]

The maximum amount of supplies that the storage unit can hold is 28 ft³

<h3>How to calculate the volume of a rectangular prism?</h3>

For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;

V = Length × width × height.

We are given;

length = 4 feet

width = 3.5 feet

height of the prism = 2 feet.

Thus;

V = 4 * 3.5 * 2

V = 28 ft³

Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³

Read more about Volume of Rectangular Prism at; brainly.com/question/4062480

#SPJ1

6 0

2 years ago

If a 30-60-90 right triangle has a hypotenuse 6, what is the length of the short leg?

Anton [14]

Answer:

$\sqrt[3]{3}$

Step-by-step explanation:

use the Pythagoras Theorem

Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2.

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3 years ago