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nordsb [41]
2 years ago
11

Find the equation of the line shown

Mathematics
1 answer:
liraira [26]2 years ago
3 0

The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

<h3>What is the equation of a line passing through two given points in a 2-dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The graph of the picture shows two clear points (4.5. 0) and (0, 9)

(y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9

Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

Learn more about straight-line equations here:brainly.com/question/380976

#SPJ1

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The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
Trava [24]

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

Learn more about the mathematical model here;

brainly.com/question/4960142

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5 0
1 year ago
Will buys a large soda bottle that contains 40 fluid ounces of soda. If the serving size is 8 fluid Ounces per person, how many
Nana76 [90]

Answer:

5 friends

Step-by-step explanation:

Assuming that each friend gets a serving size, we can simply divide the total number of soda, 40, by the serving size, 8, to get 5.

4 0
2 years ago
Help ASAP need to be done
Artist 52 [7]
The answer for the graph is x ≤ 5
6 0
2 years ago
Read 2 more answers
Help ASAP
Tasya [4]

Answer:

7)k=-7.02

8)n=-4

9)b=-14

10)-2=p

7 0
3 years ago
Free response question please asap !
koban [17]

Answer:

416 s correct

Step-by-step explanation:

7 0
3 years ago
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