All categories

3 years ago

Simplify completely sqrt of 20Y^8

Mathematics

1 answer:

brilliants [131]3 years ago

3 0

Answer:

Final answer is $2y^4 \sqrt{5}$ .

Step-by-step explanation:

Given expression is $\sqrt{20y^8}$ .

Now we need to smplify the given expression $\sqrt{20y^8}$ .

So begin with factoring 20 into two parts so that one part is perfect square number.

$\sqrt{20y^8}$

$=\sqrt{4 \times 5y^8}$

$=\sqrt{4 y^8} \times \sqrt{5}$

$=2y^4 \times \sqrt{5}$

Hence final answer is $2y^4 \sqrt{5}$ .

You might be interested in

Complete the following proof given <1 =<4 ; <4 and <5 form a linear pair prove: <1 and <5 are supplementary

Mandarinka [93]

Given taken given taken given taken given and then taken because that’s how the pattern is on the chart

4 0

3 years ago

Find the slope of the line between the points (4, 10) and (-6, 10)

White raven [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

It took the Farhats 85 minutes to drive 102 miles. If they this same driving rate, how long will it take them (in minu get to th

STALIN [3.7K]

Answer:

255 minutes

Step-by-step explanation:

306 can be subtracted by 102 a total of 3 times. We know that for every 102 miles = 85 minutes. So 85 * 3 = 255.

8 0

3 years ago

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at

vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

$\frac{dx}{dt}=11.94m/min$

Step-by-step explanation:

From the question we are told that

Slant height $z=29m$

Change in Vertical height $\triangle y=7m/s$

Horizontal length $x=21$

Generally in finding the distance form the top to the bottom of the wall it is mathematically given by

$x^2+y^2=z^2$

$21^2+y^2=29^2$

$y^2=29^2+21^2$

$y=35.81$

Generally solving for the differential equation is mathematically represented as

$x^2+y^2=29^2$

$2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0$

$x*\frac{dx}{dt} +y*\frac{dy}{dt} =0$

$(21)*\frac{dx}{dt} +(35.81)*(-7) =0$

$(21)*\frac{dx}{dt} -250.64 =0$

$\frac{dx}{dt}=\frac{250.64}{21}$

$\frac{dx}{dt}=11.94m/min$

5 0

3 years ago

I need serious answers ppl keep putting those links

ohaa [14]

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

7 0

3 years ago