Nikki is 5 years older than Jamie. The product of their ages is 126. Which equation could be used to find Nikki’s age, n?

The equation find Nikki's age is n² - 5n = 126

From the given statement we can deduce the following and form equation to find Nikki's age.

Let the age of Nikki = n

Let the age of Jamie = y

From the first statement:

                                                                 n - 5 = y

From the second statement:

                                                      n(n - 5) = 126

Simplify the equation as follows;

n(n - 5) = 126

n² - 5n = 126

Thus, the equation find Nikki's age is n² - 5n = 126

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Let, Nikki's age is 'n'.

Since, Jamie is 5 years younger than Nikki, let Jamie's age be 'n-5'

According to the question,

The product of their age is 126.

which means,

Nikki's Age × Jamie's age = 126

⇒ n × (n-5) = 126

⇒ n² - 5n = 126

⇒ n² - 5n - 126 = 0

Now you can do the middleterm,

⇒n² - 14n + 9n - 126 =0

⇒ n ( n - 14 ) + 9 (n - 14 ) = 0

⇒ ( n - 14 ) ( n + 9 ) = 0

since n's value can not negative

⇒ ( n - 14 ) = 0

∴ n = 14

Nikki's age is 14

and Jamie's age is 9 years

answer: 10 meter

step-by-step explanation:

need details

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.