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3 years ago

Simplify: 4sqrt400/4sqrt5. show your work

Mathematics

2 answers:

xenn [34]3 years ago

8 0

Answer:

$4\sqrt{5}$

Step-by-step explanation:

$\dfrac{4\sqrt{400}}{4\sqrt{5}} =$

$= \dfrac{4 \times 20}{4\sqrt{5}}$

$= \dfrac{20}{\sqrt{5}}$

$= \dfrac{20\sqrt{5}}{\sqrt{5} \sqrt{5}}$

$= \dfrac{20\sqrt{5}}{5}$

$= 4\sqrt{5}$

shusha [124]3 years ago

4 0

4 sqrt(400) / 4 sqrt(5)

sqrt(400) =20

4 *20

--------

4 sqrt(5)

the 4's on the top and bottom cancel

--------

sqrt(5)

I was taught never to leave a sqrt in the denominator

so you need to multiply by sqrt (5) in the numerator and the denominator

20* sqrt(5)

--------

sqrt(5)* sqrt(5)

20* sqrt(5)

--------

= 4 sqrt(5)

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jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

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In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

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The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .