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Karolina [17]
3 years ago
14

What is the slope of the line through (6, 9) and (7, 1)a. -1/8b. 8c. -8d. 1/8​

Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

Slope is  -8

Step-by-step explanation:

First and foremost, welcome to Brainly!

I'll begin with the basics of slope, just to help you get the gist of this crucial concept -

Slope can be rewritten as rise/run, although written formally as :

m = \frac{y_{2}-y_{1}  }{x_2-x_1}

when we are given two coordinates (x,y) on the line.

One important thing to note is that slope belongs to a general equation,

y = mx+b

where b represents the y intercept and m is slope.

We're given two coordinates in your question: (6,9) and (7,1):

m = \frac{1-9}{7-6} = \frac{-8}{1} =-8

m = -8 is the final answer.

I hope this helps! By the way, slope is a concept that will follow you to calculus and physics, so I urge you to practice!

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The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
3 years ago
Given P Q and
marusya05 [52]
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8 0
4 years ago
What number do you divide by 12 to get 9
finlep [7]

Well I don't know.  Let's figure it out together.

You said (a number) divided by 12 gives you 9 .

A fraction is the easiest way to show division, so
you can write this equation:

               (number) / 12  =  9

Now you can multiply each side of the equation by  12 .
When you do that, you have ...

                 number   =   9 x 12

                 <em>number   =    108</em> .

Now you know how to find it.  That's even better than just
having the answer.


5 0
3 years ago
Read 2 more answers
Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Par
Verdich [7]

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  \frac{25}{100} *50 = \frac{1}{4}*50 = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  \frac{25}{100} *60 = \frac{1}{4}*60 = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  \frac{50}{100} *60 = \frac{1}{2}*60 = 30

⇒50% of 60 = 30

Part D :

75% of 60 = \frac{75}{100} *60 = \frac{75}{10}*6 = 45

⇒75% of 60 = 45

Part E :

75% of 30 = \frac{75}{100} *30 = \frac{75}{10}*3 = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = \frac{100}{100} *22.5 = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = \frac{10}{100} *22.5 = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  \frac{50}{100} *45.7 = \frac{1}{2}*45.7 = 22.85

⇒50% of 45.7 = 22.85

6 0
3 years ago
Evaluate a + b to the 2nd power for a = 2 and b = 3
jarptica [38.1K]

Answer:

25

Step-by-step explanation:

You add 2+3 and get 5. Then you square it to get 25.

4 0
3 years ago
Read 2 more answers
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