2 years ago

Given that 4704/m = n^2, where m and n are whole numbers and n is as large as possible, find the value of m and of n

Mathematics

1 answer:

Andrews [41]2 years ago

5 0

Answer:

n=28,m=6

Step-by-step explanation:

Rearrange to give 4704 = m * n^2

Express 4704 in its prime factorisation:

2^5 * 3^1 * 7^2

We know that n must be as large as possible and, because it is squared, be the even numbers.

We get n^2 = 2^4 * 7^2 so n = 2^2*7 = 28

m is the leftovers

2^1*3 = 6

You might be interested in

Find an equation of the circle whose diameter has endpoints (1,-4) and (-3,6).

MAVERICK [17]

Answer:

$(x+1)^2+(y-1)^2=58$

Step-by-step explanation:

To find the equation of this circle, we must know the center and the radius.

We can find the radius by dividing the value of the distance formula by 2 (since $r=\frac{d}{2}$ ):

$d=\sqrt{(-3-1)^2+(6-(-4))^2}=\sqrt{116}\\r=d/2=\frac{\sqrt{116}}{2}$

We can then find the center of the circle by averaging the coordinates:

$\frac{1+(-3)}{2}=-1$

$\frac{-4+6}{2}=1$

Then, we substitute these values into the equation of a circle:

$(x-(-1))^2+(y-1)^2=(\frac{\sqrt{116}}{2})^2\\(x+1)^2+(y-1)^2=58$

3 0

3 years ago

Use the divisibility rules to determine which of the following numbers 504 is divisible by.

Reika [66]

Answer:

504 is divisible by 2, 3, and 7. It is not divisble by 5 or 11

Step-by-step explanation:

C'mon. Use a calcultor.

3 0

2 years ago

Answer thismath......

Karolina [17]

Answer:

you can travel 150 miles

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which equation represent the line that passes through the points (-4,3) and (2,-12)

Lina20 [59]

I'm pretty sure it's: 5x + 2y = –14

5 0

3 years ago

Select the correct answer. Given: AD = CF BC = DE Prove: AB = EF Statement Reason 1. AD = CF given 2. AD = AB + BC + CD CF = CD

madreJ [45]

Answer:

Step-by-step explanation: The answer is D- Substitution Property of Equality. I just did the test and it was right.

8 0

3 years ago

Read 2 more answers