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3 years ago

What is the circumcenter of the points (2,6), (8,6), (8,10)

Mathematics

1 answer:

mario62 [17]3 years ago

8 0

See https://web2.0calc.com/questions/need-help-now_10.

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8 over 2x minus 4 over x squared

LuckyWell [14K]

Answer:

4x-4/x^2

Step-by-step explanation:

So we can first write out the equation.

It would be:

8/2x-4/x^2

First we can get a common denominator:

8/2x*x^2/x^2=8x^2/2x^3

and

4/x^2*2x/2x=8x/2x^3

Now we have

8x^2/2x^3-8x/2x^3

8x^2-8x/2x^3

We can divide everything by x

8x-8/2x^2

divide everything by 2

4x-4/x^2

6 0

3 years ago

Which polynomial can be simplified to a difference of squares

Mrrafil [7]

<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)$

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

$First=10a^{2}$

$Second=16a^{2}$

$Third=25a^{2}$

$Fourth=24a^{2}$

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

$16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}$

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

$16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)$

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

$25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}$

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}$

7 0

3 years ago

Read 2 more answers

Do the ratios 4/5 and 12/20 form a proportion?

yKpoI14uk [10]

Answer:

No. They are not in proportion

Step-by-step explanation:

$\sf \dfrac{4}{5} \ \text{is in the simplest form}$

$\sf \text{Simplest form of $\dfrac{12}{20}$} = \dfrac{12 \div 4}{20 \div 4}=\dfrac{3}{5}$

So, they are not in proportion

7 0

2 years ago

Which ordered pair is a solution of the equation?

SSSSS [86.1K]

Answer:

(a)

Step-by-step explanation:

To determine if the points are a solution to the equation.

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then they are a solution.

(2, 5)

- 3(2) + 4(5) = - 6 + 20 = 14 ← True

(4, 6)

- 3(4) + 4(6) = - 12 + 24 = 12 ← False

Thus (2, 5) is the only solution to the equation → (a)

3 0

3 years ago

Plz help me quickly I’ll give brainlist

Svetlanka [38]

Answer:

$5\frac{5}{6}$

Step-by-step explanation:

3 1/2 x 1 2/3 = 35/6

6 x 5 + 5 = 35/6

4 0

3 years ago