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julia-pushkina [17]
3 years ago
13

14. Find the slope of the line passing through the points (8, 15) and (5,9).

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0

We have P_1(x_1,y_1)\to P_1(8,15) and P_2(x_2,y_2)\to P_2(5,9).

The slope is

m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-15}{5-8}=\dfrac{-6}{-3}=\boxed{2}

Hope this helps.

Digiron [165]3 years ago
7 0

Answer:

The slope is 2.

Step-by-step explanation:

Slope, usually represented by m, is m = rise / run.

If we go from the point (5, 9) to the point (8, 15), x increases by 3 (this is the run) and y increases by 6 (this is the rise).  

Thus, the slope is m = rise / run = 6/3, or 2.

The slope is 2.

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Write 31/50<br> As a percentage and a decimal
swat32
Divide 31 by 50 and that will give you .62 move the decimal point two places to the right and that gives you 62%. :)
3 0
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What is the value of x is in the solution set of 8x-6&gt;12+2x?​
fiasKO [112]

Answer:

see explanation

Step-by-step explanation:

Given

8x - 6 > 12 + 2x ( subtract 2x from both sides )

6x - 6 > 12 ( add 6 to both sides )

6x > 18 ( divide both sides by 6 )

x > 3

Any value of x greater than 3 will be in the solution set

7 0
3 years ago
Can some one explain how to do this?
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = \frac{opposite}{adjacent} = \frac{FG}{EG} = \frac{28}{EG} ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = \frac{28}{tan60} ≈ 16.2 in ( to the nearest tenth )

--------------------------------------------------------------

sin60° = \frac{opposite}{hypotenuse} = \frac{FG}{EF} = \frac{28}{EF} ( multiply both sides by EF )

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3 0
3 years ago
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves
Alexxandr [17]
<h3>G I V E N : </h3>

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

<h3>S O L U T I O N : </h3>

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

  • <u>Remaining amount left with him is $450</u>
3 0
3 years ago
Read 2 more answers
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