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Zigmanuir [339]
3 years ago
6

The coordinates of the vertices of polygon RSTV are R(2,4), S(6,4), T(6,0), and V(2,0).The polygon is dilated with scale factor

of 1.5 and center (0,0).Explain how you can find the coordinates of the vertices of polygon R'S'T'V' from the coordinates of the vertices of the polygon RSTV
Mathematics
1 answer:
Xelga [282]3 years ago
3 0
All of them are correct
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Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
Read 2 more answers
3. sin t + cos2 t / sin t =
Charra [1.4K]
See the picture, please!!

7 0
3 years ago
One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

6 0
3 years ago
What number complete the fallowing equation? 8×(40+7)=(8×_)+(8×7) A=40 B=47 C=320 D =376
11Alexandr11 [23.1K]

8x40=320 (+) 8x7=56 (=) 376.

A=40

hope this helped


3 0
3 years ago
Read 2 more answers
Using the provided table, calculate the effective tax rate for a single taxpayer with a taxable income of $52,000.
barxatty [35]

Answer:

Option C is correct ,14.2%

Step-by-step explanation:

In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:

First tax bracket=$9,525*10%=$952.5

Second tax bracket=$952.50+(12%*($38700-$9,525))

                                =$952.50+$3501

Third tax bracket(where the taxpayer belongs)=4453.5 +(22%*($52,000-$38,700))

third tax bracket tax=4453.5+$2926 =$7379.5

Since the total tax payable of  $7379.5   is now computed,

effective tax rate=tax paid/taxable income=7379.5/52000 =14.2%

7 0
3 years ago
Read 2 more answers
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