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3 years ago

Which equation represents a line that passes through (4.) and has a slope of

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

I’m honestly not sure what the answer is either?

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What is true about the solution above.

Masja [62]

ANSWER

$x = \pm \sqrt{3}$

and they are actual solutions.

EXPLANATION

The given equation is:

$\frac{ {x}^{2} }{2x - 6} = \frac{9}{6x - 18}$

Cross multiply

${x}^{2} (6x - 18) = 9(2x -6 )$

This implies;

${x}^{2} (6x - 18) - 9(2x - 6) = 0$

$3{x}^{2} (2x - 6) - 9(2x - 6) = 0$

Factor

$(3 {x}^{2} - 9)(2x - 6) = 0$

$3 {x}^{2} - 9 = 0 \: or \: 2x - 6= 0$

$3 {x}^{2} = 9 \: or \: 2x = 6$

${x}^{2} = 3\: or \: x = 3$

${x} = \pm \sqrt{3} \: or \: x = 3$

The domain of the given equation is

$x \ne3$

Therefore the actual solutions are

$x = \pm \sqrt{3}$

NB: x=3 is not in the domain of the given equation. It cannot be an extraneous solution.

7 0

3 years ago

The answer to this problem?

LenaWriter [7]

The simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\sqrt{\frac{162x^9}{2x^{27}}}$

Divide 162 and 2 by 2

$\sqrt{\frac{81x^9}{x^{27}}}$

Take the square root of 81

$9\sqrt{\frac{x^9}{x^{27}}}$

Apply the quotient rule of indices

$9\sqrt{\frac{1}{x^{27-9}}}$

Evaluate the difference

$9\sqrt{\frac{1}{x^{18}}}$

Take the square root of x^18

$\frac{9}{x^9}$

Hence, the simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$

Read more about expressions at:

brainly.com/question/723406

#SPJ1

5 0

2 years ago

Print out this construction assignment. Do the assignment and be ready to give it to your teacher for grading if it is requested

otez555 [7]

Answer:

I got it it is right here answer 5+-8

Step-by-step explanation:

6 0

2 years ago

Identify the number that does not belong with the other three. Explain your reasoning. 26.6 repeating 6, square root 48, negativ

Nostrana [21]

Negative 55.1 because all answers = in the 20 range but 55.1 is in the 50's

3 0

4 years ago

Read 2 more answers

Michael obtains a 30/8 balloon mortgage to finance $425,500 at 6.55%. How much principal and interest will he have already paid

STALIN [3.7K]

Answer:

$259 532

Step-by-step explanation:

Step 1. Calculate the monthly payments on a 30-year loan.

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate

of r % is

$P = A(\frac{r}{1-(1+r)^{-n}})$

We must express the interest rate on a monthly basis.

i = 6.55 %/yr = 0.545 83 %/mo = 0.005 4583

A = $425 500

n = 360 mo

<em>Calculation: </em>

$P = 425 500(\frac{0.005 4853}{1-(1+0.005 4583)^{-360}})$

$P = \frac{2332.22}{{1- {1.005 4583}}^{-360}}$

$P = \frac{2332.52}{1 – 0.140907}$

$P = \frac{2332.52}{0.859 093}$

P = $2703.46

B. Total Payment (T) after 8 years

T = nP

T = 96 × 2703.46

T = $259 532

Michael will have paid $259 532 at the end of eight years.

4 0

3 years ago