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Anna [14]
3 years ago
8

Find the slope of the line that passes through the points (14,-12) and (12,-1)

Mathematics
2 answers:
Lerok [7]3 years ago
8 0
-5.5 would be the correct answer
victus00 [196]3 years ago
4 0
Here is your answer

Points are (14,-12) and (12,-1)

here, x1= 14, y1= -12, x2=12 and y2=-1

so,

Slope of given line is

{\dfrac}{y2-y1}/{x2-x1}

= -1-(-12)/12-14

= -1+12/-2

= 11/-2

= -11/2

= -5.5

HOPE IT IS USEFUL
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You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. It bounces back up with every bounce,
Mariana [72]

Answer:

16.4 m to the nearest tenth.

Step-by-step explanation:

After the first bounce it rises to a height of 50*0.8 = 40 m.

After the next bounce it rises to  50*(0.8)^2 = 32 m

So after the 5th bounce it rises to  50(0.8)^5 = 16.4 m. (answer).

4 0
3 years ago
How many bananas are needed to make the third scale balance?
frozen [14]

The number of bananas required to make the third scale balance is 3.

<h3>What is a scale?</h3>

A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.

  • Scale 1 (10 bananas/ 2 pineapples)

It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.

  • 10 banans = 1000 grams = each banana weighs 100 grams
  • 2 pineapples =  1000 grams = each pineapple weighs 500 grams

Scale 2 ( 1 pineapple / 2 bananas, 1 apple)

Using the same imaginary weights let's find the weight of the apple.

  • 1 pineapple = 500 grams
  • 2 bananas = 200 grams
  • 1 apple = 300 grams (500 - 200 = 300)

Scale 3 (1 apple /x )

We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.

Learn more about balance in: brainly.com/question/7181548

8 0
2 years ago
If the average of nine consecutive integers is zero, what is the largest integer?
Orlov [11]

Answer:

4

Step-by-step explanation:

The average of the consecutive integers is 0, so the middle number must be 0, with 4 numbers less than 0 and 4 numbers greater than 0.

-4, -3, -2, -1, 0, 1, 2, 3, 4

So the largest integer is 4.

4 0
3 years ago
1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
I have attached a screenshot with the images of the two popcorn bags used by the theater.

Part (a):
Bag A:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 in
Bag B:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 in

Part (b):
To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²
Bag B:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²
From the above calculations, we can deduce that the theater should choose bag B in order to reduce the amount of paper needed.

Hope this helps :)



6 0
3 years ago
What's the domain (-2,6),(-5,-11),(3,7),(-5,0)
kodGreya [7K]

The domain is all the x values (range is y values). Remember to put the x values in numerical order.

So: Domain = {-5, -5, -2, 3}.

3 0
3 years ago
Read 2 more answers
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