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1 year ago

10

What is the slope of the line?

1 answer:

8090 [49]1 year ago

5 0

The slope of the line is -(1/2)

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Find the value of x to the nearest tenth.

Svetach [21]

Cos(angle) = Adjacent Leg / Hypotenuse

cos(35) = 9 / x

x = 9 / cos(35)

x = 10.99

Rounded to nearest tenth = 11.0

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3 years ago

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Red Queen, Throne of glass, Scythe, and I am number four! Those are some of my favorites!

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Step-by-step explanation:

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2 years ago

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

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2 years ago

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Use the simple interest formula method to calculate the future value of an annuity with annual annuity payments of $1200 at 4% i

nikitadnepr [17]

Answer:

Step-by-step explanation:

A = $2,629.35
A = P + I where
P (principal) = $1,200.00
I (interest) = $1,429.35

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1 year ago