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Anna007 [38]
4 years ago
11

Have I been solving these equations correctly?

Mathematics
1 answer:
Tresset [83]4 years ago
4 0

14)


2(-3)² => 2(-3)(-3) => 2*9 = > 18


27+18-11 => 27 + 7 = > 34.


16)


\bf p(x)=\cfrac{x^2-4}{2x+1}\implies p(-8)=\cfrac{(-8)^2-4}{2(-8)+1}\implies p(-8)=\cfrac{64-4}{-16+1} \\\\\\ p(-8)=\cfrac{60}{-15}\implies p(-8)=-4


17)


\bf h(x)=3\cdot 9^x\implies h(-2)=3\cdot 9^{-2}\implies h(-2)=3\cdot \cfrac{1}{9^2} \\\\\\ h(-2)=\cfrac{3}{9^2}\implies h(-2)=\cfrac{3}{81}\implies h(-2)=\cfrac{1}{27}

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A cruise line ship left Port A and traveled 90 miles due west and then 400 miles due north. At this point, the ship docked at Po
GrogVix [38]

Answer:

410 Miles

Step-by-step explanation:

Please refer to the photo attached. (Apologies for the legitimately terrible drawing)

The Shortest Distance between any 2 points is the distance thats connects the 2 points directly.

In this case, we can use Pythgoras's Theorem to find AB which is the shortest distance between A and B.

By Pythagoras's Theorem,

{c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {ab}^{2}  =  {ac}^{2}  +  {cb}^{2}  \\  {ab}^{2}  =  {90}^{2}  +  {400}^{2}  \\ab =  \sqrt{ {90}^{2} +  {400}^{2}  }  \\  = 410 \: miles

4 0
2 years ago
PLEASE ANSWER <br> Which expression is equivalent to the given expression? (-6ab)2
dezoksy [38]

Answer:

B

Step-by-step explanation:

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7 0
3 years ago
Trig: Which complex number's graph is shown?
Andrei [34K]

ANSWER

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

EXPLANATION

The complex number shown has coordinates (2,-2)

or

z = 2 - 2i

The modulus is

|z|  =  \sqrt{ {2}^{2}  +  {( - 2)}^{2} }

|z|  =  \sqrt{ 8} = 2 \sqrt{2}

The argument is

\theta= \tan^{ - 1} ( \frac{ - 2}{2} )

\theta= \tan^{ - 1} ( -1) =  \frac{7\pi}{4}

The polar form is

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

The first option is correct.

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4 years ago
What is the solution to log Subscript 2 Baseline (2 x cubed minus 8) minus 2 log Subscript 2 Baseline x?
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8 0
3 years ago
Read 2 more answers
For the data set 6, 5, 10, 11, 13, the mean, 7, is 9. What is the standard<br> deviation?
aleksklad [387]

Answer:

3.39

Step-by-step explanation:

We will use SD formula to find our answer.

= Standard deviation.

= Mean.

N= Numbers of data-points.

We have been given that mean of our data set is 9. So we will find the square of each data point's distance to the mean.

Now let us substitute our given values in above formula.

Upon adding the square of distances we will get,  

Upon dividing 46 by 4 we will get,

Upon taking square root of 11.5 we will get,

Therefore, the standard deviation for our given data set will be 3.39.

Read more on Brainly.com - brainly.com/question/11638718#readmore

4 0
3 years ago
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