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2 years ago

The piecewise function h(x) is shown on the graph.

Mathematics

1 answer:

timurjin [86]2 years ago

7 0

Answer:i dont know

Step-by-step explanation:

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A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

5 0

2 years ago

Write the number 8.8 x 106 in standard form.

Musya8 [376]

Answer:

932.8

Step-by-step explanation:

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2 years ago

What's the answer to this please help. :)

Alexxandr [17]

I think the answer is 32 if I did my math right sorry if it wrong

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3 years ago

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Write the standard equation for the circle center (-6, 7), r= 9.

Oduvanchick [21]

Answer:

(×+6)^2 + (y -7 ) ^2=81

Step-by-step explanation:

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2 years ago

Fully factorise 8x+24

irinina [24]

8(x+3)
In this form, it is fully factored. All you need is a GCF, which is 8.
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3 years ago

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