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3 years ago

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Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. Write an equation that gives the amo

unt of snow that has fallen after x hours at this rate.
y = ?

1 answer:

-Dominant- [34]3 years ago

8 0

Answer:

y=2x

it already gives you that in 2 hours four inches of snow has fallen. to find one hour you would basically just divide it in half

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pshichka [43]

Your answer will be 3

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3 years ago

Alice purchased a house using a fixed rate mortgage. The annual interest rate is 5.6% compounded monthly for 30 years. The mortg

zhuklara [117]

Hi there
The formula of the present value of annuity ordinary is
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3 years ago

What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?

vodomira [7]

<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

$2m^2-16m=-8$

Next, divide both sides by 2:

$m^2-8m=-4$

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

$m^2-8m+16=12$

Next, factor the left side:

$(m-4)^2=12$

Next, square root both sides of the equation:

$m-4=\pm \sqrt{12}$

Next, add 4 to both sides of the equation:

$m=4\pm \sqrt{12}$

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

$m=4\pm 2\sqrt{3}$

<h2>Answer:</h2>

In exact form, your answer is $m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}$

In approximate form, your answers are (rounded to the hundreths) $m=7.46, 0.54$

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3 years ago

Find the slope of the line through the points (6,16) and (−6,4)

MakcuM [25]

$m = \frac{y2-y1}{x2-x1}$

$m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1$

Therefore, the slope of the line is 1. In case if you want to know the equation.

$y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\$

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

$y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\$

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10

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3 years ago

Please help out, using your knowledge of equilateral and isosceles triangles, find the value of x

alukav5142 [94]

Answer:

I think the other angles are 40 degrees excpet the "x" which is 100 also

Step-by-step explanation:

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4 years ago