Which set of ordered pairs has point symmetry with respect to the origin (0,0) 1- (-12,5), (-5,12)
2- (-12,5), (12,-5)
3- (-12,5), (-12,-5)
4- (-12,5), (12,5)

Answers

Answer 1
Answer: (x;\ y)\xrightarrow {S_((0;0))}(-x;-y)\n\n(-12;\ 5)\xrightarrow{S_((0;0))}(12;-5)\n\nAnswer:2

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An angle measuring (525n)° is in standard position. For which value of n will the terminal side fall along the negative portion of the y-axis?A) n = 2
B) n = 3
C) n = 5
D) n = 6

Answers

For n=2,

put the value 2 in the above equation we get 525*2=1050°.

1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.


For n=6,

put the value 6 in the above equation we get 525*6=3150°.

3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.



The value of n that causes the y-component of the terminal side to be negative is n = 2.

For which value of n the terminal side has a negative y-value?

We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:

x = R*cos(θ)

y = R*sin(θ)

In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:

y = sin(θ) < 0.

where θ = (525n)°

So we can check for different values of n, and see which one gives a negative sine:

n = 2

sin(525*2°) = -0.5

So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.

If you want to learn more about the sine function:

brainly.com/question/6904750

#SPJ5

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³.What is the scale factor?

Enter your answer, as a decimal or a fraction in simplest form, in the box.

Answers

Answer: The scale factor is 0.125.

Step-by-step explanation:

Given: The volume of the prism=360\ yd^3

The scaled volume of the prism=45\ yd^3

We know that when we scaled a shape by a scale factor k, then we multiply k to the dimension of the original shape.

So, to find the scale factor k, we need to the divide the scaled volume  by the volume of prism , we get

k=\frac{\text{scaled volume of the prism}}{\text{volume of the prism}}=(45)/(360)=(1)/(8)=0.125

Hence, the scale factor k = 0.125

45/360 and reduce
45/360 =15/120 = 5/40 = 1/8

The scale factor is 1/8

You want to invest$10,000 dollars. How long will it take to double your investment at an annual
interest rate of 10%, compounded continuously? (Round your answer to the
nearest year)
Using equation A=Pe^rt
^=exponent

Answers

using the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1
 2  = e^0.1t
log 2  =    log e^0.1t               >     log to the base e
log 2  =  0.1t * 1              log e to the base e  =1
0.6931 = 0.1t
t =   6.931
   =    7 years

Can someone help me with number 2?

Answers

Answer:

Tme = x+y*. 5

Step-by-step explanation:

The focus of the comparison in question 1413 is not provided in the question itself. To determine the focus, you would need additional context or information about the content or subject being discussed. Both options (A and B) suggest a comparison between molecules involved in different cycles (nitrogen cycle or carbon cycle), but without more information, it's not possible to specify which one is the correct focus.

What dose how many mean in math

Answers

How many means the amount. Hope this helped you

The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes:Based on the graph, what is the initial value of the graph and what does it represent?0.4 mile per minute; it represents the speed of the bee
0.4 mile; it represents the original distance of the bee from its hive
4 miles; it represents the original distance of the bee from its hive
4 miles per minute; it represents the speed of the bee

Answers

Answer:

C. 4 miles; it represents the original distance of the bee from its hive

Step-by-step explanation:

We are given,

The graph showing the distance between a bee hive for a certain amount of time.

Now, from the graph, we see that,

When the time is 0 mins, then the distance from the bee hive is 4 miles.

Thus, the initial value of the graph is 4 miles and it represents the original distance of the bee hive from the hive.

So, option C is correct.

4 Miles; it represents the orginal distance of the bee form its hive
the line starting so high up means that that spot is the starting location of the bee