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V125BC [204]
3 years ago
13

Given the equation of the line y=−x−2, What is the equation of the image after a 270° rotation about the origin. Is there a rela

tionship (parallel, perpendicular, the same) between the equations of the image and preimage. The equation of the image is ___. They are ___ lines.
Mathematics
1 answer:
Vikentia [17]3 years ago
5 0
The equation is y = x + 2 and they are perpendicular lines.

A rotation of 270 degrees means that you turn 3/4 of the way around a circle. That would put the y-intercept at (0, 2) and the line would be going up instead of down.
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3 times a number is 54 less than the square of that number
Natasha2012 [34]

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

hope this helps

8 0
3 years ago
Read 2 more answers
Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter
zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

V(t)=5200(1.014)^{3t}

The general formula for compound interest is given by

V(t)=P(1+\frac{r}{n})^{nt}

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}

Therefore, the final amount is approximately $16,543.5

5 0
1 year ago
Dose anyone know the answer to this question
marishachu [46]

Answer:

Option D!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }

sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }

sin(2α) = 2 sinα cosα

So,

1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})

See what you can do with the others.

6 0
3 years ago
The fraction 7/9 produces a repeating decimal<br> 0.7<br> A. true<br> B. false
Elis [28]

Answer:

false for 0.7 it would have to be 7/10

Step-by-step explanation:

7 0
3 years ago
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