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3 years ago

Find the equation of the line. Write the equation using function notation. Through (-3,-9); parellel to 5x+3y=8

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer:

The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14

Step-by-step explanation:

To find this, we must first find the slope of the original line. We can do this by solving for y.

5x + 3y = 8

3y = -5x + 8

y = -5/3x + 8/3

Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.

y - y1 = m(x - x1)

y + 9 = -5/3(x + 3)

y + 9 = -5/3x - 5

y = -5/3x - 14

Then to get the function notation, we need to replace the y with f(x).

f(x) = -5/3x - 14

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3 years ago

How to find the circumference of a circle

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C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.
The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle. Again, you can plug π into your calculator to get its numeral value, which is a closer approximation of 3.14.

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3 years ago

Is it possible to form a triangle with the given side lengths? 15 yd,16yd,30yd

lukranit [14]

<u>Answer:</u>

<u>Explanation:</u>

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4 0

3 years ago

Read 2 more answers

How to solve 2x-1/2=3-x

ValentinkaMS [17]

To solve for x:
Move all the terms containing "x" to the left side of the equation. Do this by adding x to both sides.

2x+x=3x. The new equation is:
3x-1/2=3

Now, move all terms not containing "x" to the right side of the equation. Do this by adding 1/2 to both sides.
3x=3+1/2 The new equation is:
3x=3 1/2, or 3.5

The final step is to isolate x. To do so, divide each side by 3.
3x/3 = 3 1/2 /3 The new equation is:
x=1 1/6

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3 years ago

A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a

r-ruslan [8.4K]

Answer: $\dfrac{1}{5}\text{ of an ounce.}$

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided $\dfrac{3}{5}$ of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = $\dfrac{3}{5}$ of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

= $\dfrac{3}{5}\times\dfrac{1}{3}=\dfrac{1}{5}\text{ of an ounce}$ .

Hence, Quantity of liquid protein given by her to each cell = $\dfrac{1}{5}\text{ of an ounce.}$

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3 years ago