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Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.

Which equation can be used to find m, the midpoint of the two numbers?

(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99

Answer :

Nirina7
in my opinion the answer is m2 – 100 = –99
proof
m2 – 100 =(m – 10)(m + 10)
for eg. m=1, (-9)(11)= –99

The equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the given question.

We have two numbers.

Both are 10 m away from their midpoint, m.

Therefore,

If the first number is ( m + 10).

Then the second number will (m-10).

Also it is given that the product of these two numbers is 99.

⇒ [tex]( m + 10)( m - 10) = -99[/tex]

⇒ [tex]m^{2} -10m + 10m -100 = -99[/tex]

⇒  [tex]m^{2} - 100 = -99[/tex]

Hence, the equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].

Find out more information about equation here:

https://brainly.com/question/10413253

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