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3 years ago

What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

9514 1404 393

Answer:

x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

1(x -1) -3(y -(-2)) = 0

x -3y -7 = 0

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Are 4,563 and -1/4 rational or irrational?

Wewaii [24]

Rational they can be written as a ratio

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3 years ago

Suppose the expected returns on equity of two firms, Macrosoft and Microsoft, that operate in the same business are 10.50% and 1

Komok [63]

Answer:

The return on assets in this business for Macrosoft is

ROA = 10.50%

Step-by-step explanation:

Return on Equity:

ROE represents how much a firm is generating profits by using the shareholder's money.

ROE is calculated as

${ROE = \frac{Annual \:\: net\: \: income}{Average \:\: shareholder's \:\: equity}$

Return on Assets:

ROA represents how much a firm is generating profits for every dollar of its assets.

ROA is calculated as

${ROA = \frac{Annual \:\: net\: \: income}{Total \:\: assests}$

What is the return on assets in this business if Macrosoft has no debt?

Debt plays an important role in the calculations of return on assets.

We know that

Assets = Liabilities + Equity

Since the Macrosoft has no debt, its return on assets will be same as return on equity.

Assets = Equity

ROA = ROE

ROA = 10.50%

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3 years ago

A factory began dumping toxic waste materials into a countryside lake. Before the dumping began, the estimated population of str

katen-ka-za [31]

The answer is Y I think

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3 years ago

Read 2 more answers

Plz help with equation of the circle will award fastest CORRECT answer with brainliest

aliina [53]

Answer:

$(x-1)^2+(y-2)^2=6.25$

Step-by-step explanation:

The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:

$d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5$

Thus, r is 2.5.

Plugging these numbers into the equation, we have:

$(x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25$

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3 years ago

If f(x) = x2 – 1, and g(x) = x + 2, then g(f(x)) = [ ? ]x2 +[ ]x +[

aev [14]

Gf(x)
=g[f(x)]
=g[x2-1]
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3 years ago