Which of the following expressions is equal to 5^6/5^2? A) 5 • 5 • 5 • 5 B) 5 • 5 • 5 C) 1/5•5•5•5 D) 3

Mathematics

1 answer:

lana66690 [7]4 years ago

6 0

Step-by-step explanation: To simplify, we will apply the Quotient Rule.

The 5's in this problem are bases so as you apply the quotient rule,

subtract the exponents but leave the base alone to get 5⁴.

We can also write 5⁴ as 5 · 5 · 5 · 5.

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Which trinomial is a perfect square trinomial? a2 – 18a + 36 a2 – 16a + 64 a2 – 8a + 64 a2 – 6a + 36

Komok [63]

Answer:

$a^2-16a+64$

Step-by-step explanation:

we have the options

$a^2-18a+36\\a^2-16a+64\\a^2-8a+64\\a^2-6a+36$

the one that is a perfect equare tinomial is:

$a^2-16a+64$

because we can rewrite this as follows:

$(a-8)^2$ this is because we know that

$x^2-2xy+y^2=(x-y)^2$

thus

$a^2-16a+64=(x-8)^2$

and the other options cannot be represented as a perfect square trinomial, so the correct answer is:

$a^2-16a+64$

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Ratling [72]

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So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$