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frez [133]
3 years ago
5

Please simplify 4a^3 x b^3 / 2ab^2

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

2a^4b^2

Step-by-step explanation:

                b

Simplify   —

                 2

                    b

 (((4 • (a3)) • —) • a) • b

                     2

               b

 ((22a3 • —) • a) • b

                2

3.1    22   divided by   21   = 2(2 - 1) = 21 = 2

(2a3b • a) • b

4.1    b1 multiplied by b1 = b(1 + 1) = b2

2a^4b^2

Hope this helps, have a nice day/night! :D

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What is the slope of the line created by this equation? Found your answer out to two decimal places.10x+2y=3
seraphim [82]

The line equation in slope-intercept form is given by

y=mx+b

where b is the y-intercept and m is the slope.

Then, we need to convert the given equation into the slope-intercept form. Then, by subtracting 10x to both sides, we have

2y=-10x+3

and by dividing both sides by 2, we get

y=-5x+\frac{3}{2}

By comparing this result with the first equation, we can see that the slope is m= -5. So, the answer is: -5

5 0
1 year ago
What is the length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm?
Paul [167]

The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm

<u>Solution:</u>

Given a right angled triangle,

The sides measure 7 cm and 24 cm

We have to find the length of hypotenuse

For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

From above definition we get,

c^2 = a^2 + b^2

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

"b" is the length of other side of triangle

Here, a = 7 and b = 24 and c = ?

c^2 = 7^2 + 24^2\\\\c^2 = 49 + 576 = 625

Taking square root on both sides,

c = \sqrt{625}\\\\c = 25

Hence the length of hypotenuse is 25 cm

7 0
3 years ago
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿
Murljashka [212]

Answer:

Al estudiante le falta caminar \frac{1}{3} de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción \frac{2}{3} .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción \frac{1}{2}, por lo tanto un medio es la mitad de una cantidad.  Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

\frac{1}{2} *\frac{2}{3}

Resolviendo:

\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}

Entonces, la distancia recorrida en bus es \frac{1}{3} de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

\frac{2}{3} - \frac{1}{3}

Resolviendo:

\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}

<u><em>Al estudiante le falta caminar </em></u>\frac{1}{3}<u><em> de kilómetro.</em></u>

6 0
3 years ago
In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH
GREYUIT [131]
That would also be 35
8 0
3 years ago
Read 2 more answers
Find the length of GF
Cerrena [4.2K]
By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:

9.4^2=6.8^2+GF^2

GF^2=9.4^2-6.8^2

GF^2=42.12

GF=√42.12 units

GF≈6.49 units (to nearest hundredth of a unit)
3 0
3 years ago
Read 2 more answers
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