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denis23 [38]
2 years ago
12

Question

Mathematics
1 answer:
Goryan [66]2 years ago
8 0

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

(2, 4) and (3, 3) are on the line. So, slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{3-4}{3-2}

m=\dfrac{-1}{1}

m=-1

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

y-4=-1(x-2)

Therefore, an equation of the line in point slope form is y-4=-1(x-2).

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Group the like terms to get 5m+6w+33.
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The daily mean temperature in a particular place is 83. how many cooling-degree days were accumulated?
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3 years ago
Caffeine Castle buys bulk coffee to sell. The cost of 5 pounds of imported coffee is $60. What is the unit rate in cost per poun
katovenus [111]
Hey there! :) The answer to your question is $12 per pound. To find a unit rate you divide $60/5= $12. To double-check, 1 pound is $12, 2 pounds is $24, 3 pounds is $36, 4 pounds is $48, and lastly 5 pounds is $60. I hope you have a great day, and keep smiling! :D Also hoped I helped! ;)
8 0
3 years ago
The number of hours Layla worked each week for the first eight weeks of summer break are recorded below.
Rainbow [258]

Answer: The value of the center increases and the distribution has a smaller spread.

Step-by-step explanation:

Re - arranging the first value in ascending order , we have :

12 ,14, 16 , 19, 21 , 22 , 28 , 32

Median = 19 + 21 / 2

            = 40/2

            = 20

Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean

Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32  / 8

Mean = 164/8

Mean = 20.5

Therefore to calculate the standard deviation, we need to calculate the variance, which  is

(12-20.5)^{2} +(14-20.5)^{2} + (16-20.5)^{2} + (19-20.5)^{2} + (21-20.5)^{2} + (22-20.5)^{2} + (28-20.5)^{2} + (32-20.5)^{2}  / 8

Variance = 328/8

Variance = 41

Standard deviation = \sqrt{variance}

S.D = \sqrt{41}

S.D = 6.4

Also re arranging the second values , we have :

20 , 24 , 25 , 31

Median = 24 + 25 / 2

Median = 49/2

Median = 24.5

Calculating the S.D using the same format , the S.D = 3.9

Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread

8 0
3 years ago
Read 2 more answers
Find the ratio of two complement angle is 2:3. Find the angles.​
Aliun [14]

Answer:

The angles are 2x= 2x18°   =36° and  3x=3×18   =54°  

Step-by-step explanation:

It is given that two complementary angles are in the ratio 2:3.

Consider 2x and 3x as the angles.

We know that, if two angles are complementary, then their sum is 90°    .

Then, 2x+3x=90°  

 ⟹ 5x=90°  

⟹ x=  90/5

​  x=18°  

Here, the angles will be 2x=2×18   °=36°  

 and 3x=3×18°   =54  °

Hope this helps.

8 0
2 years ago
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