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Lana71 [14]
3 years ago
12

B. Using your answer in letter a or write the equation of the line in the form Ax + By = C

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

Step-by-step explanation:

(1, 5.5) ; (2, 9)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

         = \frac{9-5.5}{2-1}\\\\=\frac{3.5}{1}\\\\= 3.5

         = 7/2

m = 7/2 ; (2 , 9)

y - y1 =m(x -x1)

y - 9 = \frac{7}{2}(x- 2)\\\\y - 9 = \frac{7}{2}x - \frac{7}{2}*2\\\\y -9 = \frac{7}{2}x - 7\\\\y = \frac{7}{2}x - 7 + 9\\\\y = \frac{7}{2}x + 2

Multiply the equation  by 2

2y = 2*\frac{7}{2}x + 2 *2\\\\2y = 7x + 4\\\\7x - 2y = -4\\

         

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Find the slope of the line passing through the points (-6, 6) and (4. – 7).
postnew [5]

Answer:

\displaystyle -\frac{13}{10}

Step-by-step explanation:

To solve this problem, first you have to use the slope formula of \displaystyle \frac{y_2-y_1}{x_2-x_1}.

y2= (-7)

y1=6

x2=4

x1(-6)

Solve.

\displaystyle \frac{(-7)-6}{4-(-6)}=\frac{-13}{10}=\boxed{-\frac{13}{10}}

Therefore, the correct answer is -13/10.

6 0
3 years ago
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Write an appropriate direct variation equation if y = 27 when x = 9
Yuri [45]
Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x
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3 years ago
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Round 2.85 to the nearest hunderdth
andreyandreev [35.5K]
Answer 2.85

On rounding to nearest hundredths, we get than 2.85 as at thousandths place, there is 9 which is greater than 5, so 1 is added to the hundredth value.
3 0
3 years ago
A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting t
lidiya [134]

The number of adults waiting to see the new superhero movie is 62.

<h3>How many adults are waiting in line?</h3>

Ratio expresses the relationship between two or more numbers. Ratio is used to compare two or more numbers. It shows the number of times that one value is contained in another value.

Looking at the ratio given in this question, we know that there are 1 1/2 (3 /2) more children than adults on the line to watch the new superhero movie.

Number of adults waiting to see the movie = (ratio that represents adults / sum of ratio) x total number of people wafting in line

Sum of ratios = 2 + 3 = 5

(2/5) x 155 = 62 people

To learn more about ratios, please check: brainly.com/question/25927869

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3 0
1 year ago
Constance wants to purchase an school jacket. She saw the same jacket at a few stores. Store A had the jacket for 15% off the or
soldi70 [24.7K]

Store A will be the better buy.

The price will be $53.70 after sales tax at store A.

Step-by-step explanation:

Price of Jacket at store A = $59.60

Discount = 15%

Discount Amount = \frac{15}{100}*59.60\\

Discount Amount = 0.15*59.60=\$8.94

Price after discount = Original price - Discount amount

Price after discount = 59.60 - 8.94 = $50.66

Price of Jacket at store B = $50.99

The price at store A becomes less than store B after discount, therefore, buying from store A is better.

Sales tax = 6%

Sales tax amount = \frac{6}{100}*50.66

Sales tax amount = 0.06*50.66=\$3.0396

Price after sales tax = Discount price at store A + Sales tax amount

Price after sales tax = 50.66 + 3.0396 = $53.6996

Rounding off to nearest hundredth;

Price after sales tax = $53.70

The price will be $53.70 after sales tax at store A.

Keywords: percentage, addition

Learn more about percentages at:

  • brainly.com/question/10557938
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8 0
3 years ago
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