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3 years ago

What is the equation in point-slope form of the line passing through (0, 6) and (1, 3)?

Mathematics

1 answer:

NeX [460]3 years ago

5 0

Answer:

3 - 6 = -3(1 - 0)

Step-by-step explanation:

To write an equation of point-slope from two points, first you need the slope.

To find slope, find the change in y over the change in x.

(0,6) y = 6 and x = 0
(1,3) y = 3 and x = 1

The change in y over change is x means (y2 - y1) / (x2 - x1)

change in y: -3

change in x: 1

slope = -3/1 or -3

Now that we have slope we can start the point-slope equation.

Point-slope equation: y2 - y1 = m(x2 -x1)

[<em>m</em><em> </em>means slope]

Finally, the point slope equation for these points is: 3 - 6 = -3(1 - 0)

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3 years ago

12. Will you miks the paint? Answers

wolverine [178]

The required proportion of the blue paint is 18 liters.

Given that,
The ratio of yellow and blue colors is 2:3
The proportion of the yellow color is 12 liters.
The proportion of blue color is to be determined.

<h3>What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Let the proportion of the blue color is x,
Now, the ratio can be given as
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Thus, the required proportion of the blue paint is 18 liters.

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The question given is incomplete, a proper question could be
A paint store mixes yellow and blue paint in a ratio of 2:3 to make green paint. If they used 12 liters of yellow paint, how many liters of blue paint were used?

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2 years ago

Solve four square root of six plus eight square root of four and explain whether the answer is rational or irrational.

Inga [223]

Answer:

$4\sqrt{6}+16$

Step-by-step explanation:

Given the expression: $4\sqrt{6}+8\sqrt{4}$

$\sqrt{4}=2\\$Therefore, \\4\sqrt{6}+8\sqrt{4} =4\sqrt{6}+8*2\\ =16+4\sqrt{6}$

We can re-write the answer as:

$4\sqrt{6}+16$

The answer is irrational because the sum of a rational number and irrational number is an irrational number.

<u>The correct option is B.</u>

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4 years ago

Teacher takes about 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five

Akimi4 [234]

Answer:

2h 5min

Step-by-step explanation:

1 class: 25 min

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4 years ago

Angel has finished 75% of an art project that has taken

oksano4ka [1.4K]

Answer: 12 hours

Step-by-step explanation: For this problem we will write a percent equation to solve for 100% and how many total hours it will take angel to finish the entire project.

Lets write a equation to solve for w, total amount of hours.

9/w = 75/100

9/w x w = 75/100 x w

9 = 75w/100

9 x 100/75 = 75w/100 x 100/75

w = 12

So, it will take Angel 12 hours to finish his entire project.

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3 years ago