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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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jamal is making pancakes. He has 6 3/4 cups of batter, but he needs a total of 12 cups. How much more batter does Jamal need?

vampirchik [111]

Jamil has already 6 3/4 cups of butter.
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= 12 - 6 3/4
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8 0

3 years ago

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dmitriy555 [2]

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3 0

3 years ago

Read 2 more answers

Slope intercept form of points 0, -4 and -1, 4

slava [35]

Answer:

$y=\frac{0}{-1} -4$

Step-by-step explanation:

first, you have to find the slope, and to do that you use this equation $\frac{y2-y1}{x2-x1}$

so, now to insert your points (0,-4), (-1,4)

(x1,y1) (x2,y2)

$\frac{4-4}{-1-0} = \frac{0}{-1}$

now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4

- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]

therefore, the slope-intercept form is y= $\frac{0}{-1}$ -4