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lys-0071 [83]
3 years ago
8

Factor the expression 4x^2 +12x -72

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:

\boxed{\bold{\left(3x-2\right)^2}}

Step By Step Explanation:

Rewrite \bold{9x^2-12x+4}

\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}

Rewrite Equation

\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}

Apply Perfect Square Formula \bold{\left(a-b\right)^2=a^2-2ab+b^2: \ a=3x,\:b=2}

\bold{\left(3x-2\right)^2}

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Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

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3 years ago
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Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to
Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4).  You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

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Take the square root of both sides:

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----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

(\pm 5)^2+y^2=25

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y^2=25-25

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There is only one value y such that when you square it gives you 0. That is 0.

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3 years ago
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Which of the following ratios is equivalent to 2:3?
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Answer:

14:21

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Here's what Gabriel and Kayla actually wrote.
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When 2 or more expressions are equivalent, that means they have the same outcome or result.
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