All categories

4 years ago

Find the two integers, m and n, make the equation (2x^ny2)m = 4x6y4 true.

Mathematics

1 answer:

musickatia [10]4 years ago

3 0

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

You might be interested in

The equation of a circle is given below. x^{2}+(y-2.25)^{2} = \dfrac{196}{169}x 2 +(y−2.25) 2 = 169 196 x, squared, plus, left

Lostsunrise [7]

Center = $(h,k) = (0,2.25)$
Radius = $r = \frac{14}{13}$

<u>Step-by-step explanation:</u>

Here we have following equation : $x^{2}+(y-2.25)^{2} = \dfrac{196}{169}$

We need to find the center & radius of this circle . Let's find out:

We know that , Equation of a circle is given by :

⇒ $(x-h)^2+(y-k)^2=r^2$ ........(1)

Here , (h,k) are the co-ordinates of center & r is the radius of circle.Collectively called as a circle with radius r and center at (h,k) . Let's frame given equation in question :

⇒ $x^{2}+(y-2.25)^{2} = \frac{196}{169}$

⇒ $(x-0)^{2}+(y-2.25)^{2} = (\frac{14}{13})^2$

On comparing this equation with equation (1) we get :

Center = $(h,k) = (0,2.25)$
Radius = $r = \frac{14}{13}$

6 0

4 years ago

Read 2 more answers

The sum of two consecutive even integers is 122. what are the integers?

Volgvan

Answer:

If the numbers were the same, they'd both be 61

So, try 60 and 62.

x + x+2 = 122

2x = 120

x = 60

Hope that helps!

4 0

3 years ago

Read 2 more answers

X = y 2 - 1

pochemuha

Your answer would be option B. 2y² - y - 6 = 0. This is because if you were to substitute x = y² - 1 into the equation 2x - y = 4, you would get 2(y² - 1) - y = 4, which expands into 2y² - 2 - y = 4, and then simplifies to 2y² - y - 6 = 0.
I hope this helps!

7 0

3 years ago

Read 2 more answers

(PLEASE HELP !) Gabe spent $2000 to buy a piano for his music studio. He earns $25 per hour giving piano lessons to students. Le

EastWind [94]

Answer:

280 hours

Step-by-step explanation:

Amount paid + profit = cost of a lesson per hour

$2000 + $5000 = $25(h)

7000 = 25h

7000/25 = h

280 = h

6 0

3 years ago

What is the prediction of the number of coats Clothes-4-You will sell when the outside temperature is 20ºF? Round to the nearest

Nikolay [14]

Answer:

84 coats

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers