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Serhud [2]
2 years ago
13

Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

Mathematics
1 answer:
jeka57 [31]2 years ago
5 0
<span>y=+- square root 5 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 5/9 = 4/9 => x = +/- 2/3

Answer: x = +/- 2/3

y=+- square root 7 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2  =  1 - 7/9 = 2/9 => x = +/- (√2) / 3

Answer: x = +/-(√2)/3

y=+- 3 over 3

x^2 = 1 - y^2 = 1 - 3/9 = 1 - 1/3 = 2/3 => x = +/-(√2/3)

Answer: x = +/-√(2/3)

y=+- 2 square root 2 over 2

= y = +/- 2(√2) /2 = √2  ...... these y-coordinates are out of the unit circle, then there is not a corresponding x - coordinate for them.

</span>
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Help please. My teacher didn't give a clear explication on this topic.
dmitriy555 [2]
The answer is

C' = (0,3)



good luck
5 0
2 years ago
Margie is packing 108 small boxes into a large carton. the small boxes will fill all of the space inside the large carton. Each
just olya [345]
2 inches wide
that means that the height of the large carton is 2 inches

find the volume of the carton
V=108 times volume of small box
V=108 times 1 times 2 time s3
V=648 in^2

height is 2
V=LWH
648=LW2    (note, this is not LW^2 but 2 times LW)
divie both sides by 2
324=LW
legnth of base is less than 36
div
we just need to find the values of legnth and width such that LW=324 and L<36 and that L or W is divisible by 3 (since each box is 3 inches long)

so lets factor 324
324=2*2*3*3*3*3
group them and find possible values for legnth and width less than 36 and divsible by 3
possible values

(L,W,H) possible values are
(27,12,2)
(18,18,2)



the possible dimentions are
27 by 12 by 2 or
18 by 18 by 2
4 0
2 years ago
Z=25/5 what is the next step in the equation solving sequence.
lbvjy [14]

Answer:

5

Step-by-step explanation:

Z = 25/5

in simplest form........

25/5 = 5/1

so the answer is 5.

3 0
2 years ago
An auction website charges $1 for a bid. The bidding starts at 1¢ and goes up 1¢ at a time. A television that is worth $2000 is
zaharov [31]
160 in 1¢ steps means 16,000 bids so you invest $1 with a 1/16000 probability<span> of a $2000 return the expected value (in dollars) is ___ -1 + [(1/16000) * 2000)] this is why auction websites exist
THIS MEANS 
</span>it is a 1/16,000 chance of earning<span> 1,999 while there is a 15,999 chance of losing a dollar so find 1/16000 which is 0.0000625 so do 1-0.0000625=.9999375 so .9999375*-1=-.9999375+(1999*.0000625=.1249375+-.9999375=0.875 </span>

7 0
2 years ago
Read 2 more answers
Connor wants to solve the equation 4x=26. How could he use graphs to solve this equation?
astraxan [27]

Answer:

  • <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>

Explanation:

<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.

The functions to graph are f(x) = 4x, and g(x) = 26.

The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.

Some of the points to graph that line are:

<u>x            f(x) = 4x             </u>

0        4(0) = 0 →    (0,0)

2        4(2) = 8 →    (2,8)

4        4(4) = 16 →   (4,16)

6        4(6) = 24 →  (4, 24)

With those points you can do an excellent graph of f(x) = 4x

The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.

You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.

7 0
2 years ago
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