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3 years ago

8

Alexa ran 22.5 miles less than Anthony last week. She ran a total

1 answer:

babymother [125]3 years ago

6 0

Anthony ran 38.7 miles because if she ran 22.5 miles LESS than Anthony, then you would ADD 22.5 and 16.2 getting a sum of 38.7.
Note: Sorry I’m not that good at explaining :(

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<em>Simplest Form of the Equation</em>

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3 years ago

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uysha [10]

Answer:

The solutions to the quadratic equations will be:

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Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

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Apply perfect square formula: (a-b)² = a²-2ab+b²

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$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

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3 years ago