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Mrrafil [7]
3 years ago
13

What is the simplified form of √144x^36

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
6 0

Answer:

The simplified form of \sqrt{144x^{36}} is 12x^{18}

Step-by-step explanation:

Given : \sqrt{144x^{36}}

We have to write the simplified form of \sqrt{144x^{36}}

Consider the given expression \sqrt{144x^{36}}

We know \sqrt{144}=12

and \sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}

Thus,

\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}

Simplify, we have,

=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}

Thus, The simplified form of \sqrt{144x^{36}} is 12x^{18}

VladimirAG [237]3 years ago
4 0

The answer is B

I hope this helped!

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John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to
Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

(15-x)\text{ kph}

Speed of water in downstream

(15+x)\text{ kph}

Relation:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel  140 km downstream

\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

4 0
3 years ago
When will there be 0 pennies in the jar?how did you figured this out?
siniylev [52]
23 3/4 rounds because you can take 95 divided by 4 to get 23 3/4 rounds
6 0
3 years ago
Please please do a step by step of how to solve the equation and the answer! please and thank you!
Yuliya22 [10]

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

6 0
2 years ago
BRAINIEST!!! only answer if you know and can give an explanation, will report for non-sense answers
sergiy2304 [10]

Answer:

Below

Step-by-step explanation:

For a given shape to be a rhombus, it should satisfy these conditions:

● The diagonals should intercept each others in the midpoint.

● The diagonals should be perpendicular.

● The sides should have the same length.

We will prove the conditions one by one.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals are perpendicular:

To do that we will write express them as vectors

The two vectors are EG and DF.

The coordinates of the four points are:

● E(0,2c)

● G (0,0)

● F (a+b, c)

● D (-a-b, c)

Now the coordinates of the vectors:

● EG (0-0,0-2c) => EG(0,-2c)

● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)

For the diagonals to be perpendicular the scalar product of EG and DF should be null.

● EG.DF = 0*(2a+2b)+(-2c)*0 = 0

So the diagonals are perpendicular.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals intercept each others at the midpoints.

The diagonals EG and DF should have the same midpoint.

● The midpoint of EG:

We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.

Then the midpoint is located at (0,c)

● The midpoint of DF:

We will use the midpoint formula.

The coordinates of the two points are:

● F (a+b,c)

● D(-a-b,c)

Let M be the midpoint of DF

●M( (a+b-a-b,c+c)

● M (0,2c)

So EG and DF have the same midpoint.

■■■■■■■■■■■■■■■■■■■■■■■■■■

There is no need to prove the last condition, since the two above guarante it.

But we can prove it using the pythagorian theorem.

8 0
3 years ago
Whats 851,708 to the nearest hundred-thousand
inn [45]

Answer:

900,000

Step-by-step explanation:

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round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000

4 0
3 years ago
Read 2 more answers
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