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erma4kov [3.2K]
4 years ago
6

What does | | represent?

Mathematics
1 answer:
RSB [31]4 years ago
7 0
It represente the absolute value
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Define a variable and write an inequality for the statement:
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The dependent variable is the test grade. the constant or control variable is the algebra A1 course. the independent variable is if the test score changes.
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Please help me, thank you.
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Answer:

y = 2/3x + 4

Step-by-step explanation:

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What is the simplest form of x2+5x+-6/ x2+9x+18​
nirvana33 [79]

Answer:

\frac{x-1}{x+3}

Step-by-step explanation:

Let's factor the numerator and denominator first.

x^2+5x-6 is a quadratic in the form of x^2+bx+c.

If you have a quadratic in the form of x^2+bx+c, all you have to do to factor is think of two numbers that multiply to be c and add to be b.

In this case multiplies to be -6 and adds to be 5.

Those numbers are 6 and -1 since -1(6)=-6 and -1+6=5.

So the factored form of x^2+5x-6 is (x-1)(x+6).

x^2+9x+18 is a quadratic in the form of x^2+bx+c as well.

So we need to find two numbers that multiply to be 18 and add to be 9.

These numbers are 6 and 3 since 6(3)=18 and 6+3=9.

So the factored form of x^2+9x+18 is (x+3)(x+6).

So we have that:

\frac{x^2+5x+-6}{x^2+9x+18}=\frac{(x-1)(x+6)}{(x+3)(x+6)}

We can simplify this as long as x is not -6 as

\frac{x-1}{x+3}

I obtained the last line there by canceling out the common factor on top and bottom.

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The hypotenuse of a 45°-45°-90° triangle measures units.
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Answer:

7 units

Step-by-step explanation:

In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...

... 7√2 = leg·√2

... 7 = leg . . . . . . . divide both sides by √2

_____

<em>Comment on isosceles right triangle</em>

If the legs are both length 1, the Pythagorean theorem tells us ...

... hypotenuse² = 1² +1² = 2

... hypotenuse = √2 . . . . . . . . . square root both sides of the equation

This result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.

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How do I rewrite a mixed fraction as a sum?
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Turn it into a decimal first
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