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Maslowich
4 years ago
15

What method would you use to factor x^2-16

Mathematics
2 answers:
Jobisdone [24]4 years ago
6 0

Answer:

x-4 and x+4 are the factors of x²-16.

Step-by-step explanation:

We have given a expression.

x²-16

We have to find factors of given expression.

We use difference formula to solve this.

a²-b² = (a-b)(a+b)

Applying formula to given expression , we have

(x)²-(4)² = (x-4)(x+4)

Hence, x-4 and x+4 are the factors of x²-16.

Umnica [9.8K]4 years ago
5 0
<h2>Hello!</h2>

We can factor the given expression using the following special factoring formula,

Difference of Squares Factoring:

a^{2}-b^{2}=(a+b)*(a-b)

So, for the given expression we have that:

a=\sqrt{x^{2} }=x\\b=\sqrt{16}=4

Therefore,

x^{2}-16=(x+4)*(x-4)=x*x-4*x+4*x-16=x^{2}-16

Have a nice day!

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Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

<u>So, </u>According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of <u>The inscribed circle</u>

<u>So, the center of The inscribed circle is the point S</u>

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

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4 years ago
Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a
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Answer:

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Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

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If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

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  5/2·x = 8000 . . . . . . . . . . . add x and simplify

  x = 8000·(2/5) = 3200  . . . multiply by the inverse of the x coefficient

  8000-x = 8000 -3200 = 4800 . . . . the amount invested at the lower rate

Tamara invested $3200 in the 3% account and $4800 in the 2% account.

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She earned $96 in each account for the year.

8 0
3 years ago
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