Find the missing value of x and y.

The value of x', the image point with respect to an axis rotated 60 is 3/2 + 4√3

The point is given as:

(x, y) = (3, 8)

The angle of rotation is given as:

θ = 60

The image of rotation is calculated using:

x = x'cosθ - y'sinθ

y = x'sinθ + y'cosθ

So, we have:

3 = x'cos(60) - y'sin(60)

8 = x'sin(60) + y'cos(60)

Evaluate cos(60) and sin(60)

3 = 1/2x' - y'√3/2

8 = x'√3/2 + 1/2y'

Multiply the second equation by √3

8√3 = 3/2x' + √3/2y'

Add this equation and the first equation to eliminate y'

3 + 8√3 = 1/2x' + 3/2x'

Evaluate the sum

3 + 8√3 = 2x'

Divide through by 2

x' = 3/2 + 4√3

Hence, the value of x' is 3/2 + 4√3

Read more about rotation at:

https://brainly.com/question/16691874

#SPJ1

Answer:1

Step-by-step explanation:

Both are whole numbers,so 1 is an answer,

18/1=18

21/1=21

Answer:

3

Step-by-step explanation:

3 * 6 = 18

3 * 7 = 21

Answer:

You said                          K = L M N

Divide each side of

the equation by (L N),

and then it says              K / ( L N )  =  M .

Step-by-step explanation:

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

Answer:

A) -30 - x = 10 and -30 - x = –10

Step-by-step explanation:

Part 1:

1) Isolate the variable x

-30 - x = 10

-x = 40

2) Multiply both sides by -1

x = -40

Therefore -30 - x = 10 is correct

Part 2:

1) Isolate the variable x

-30 - x = –10

-x = 20

2) Multiply both sides by -1

x = -20

Therefore -30 - x = –10 is also correct

Final Answer: -30 - x = 10 and -30 - x = –10

Answer:

yes

Step-by-step explanation:

Answer:

nice.

Step-by-step explanation:

₊˚ ꒰ mei ꒱ ‧₊˚

Answer:

3rd one or infinite

Step-by-step explanation:

Answer:

(b × h) ÷ 2

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

i did the math but i did the math but i dont wanna type it all out  

Answer:

I believe its (- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

Answer:

45

Step-by-step explanation:

Answer:

a. 10√2

Step-by-step explanation:

hey, just use Pythagoras theorem

h²=p²+b²=10²+10²=100+100=200

h²=200, h= √200 =√(100×2)=√100×√2=10√2

Answer:

I'm going to say 24. I'm 97% sure I'm correct

Answer:

Angle GHM and Angle LKJ

Step-by-step explanation:

They are both marked the same with one line.

Answer:

6.5 I think I could be wrong???????

Answer:

Step-by-step explanation:

Answer:

16 books

Step-by-step explanation:

100÷25=4

4×4=16

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

Answer:

5. a = 4

7. x = -8

9. x = -1

11. p = 1.1

13. x = -1

15. x = -4

Step-by-step explanation:

2.9a = 11.6

2.9a/2.9 = 11.6/2.9

a = 4

-3.7x = 29.6

-3.7x/-3.7 = 29.6/-3.7

x = -8

(x-5)(-3) = 18

(x-5)(-3)/-3 = 18/-3

x-5 = -6

x-5+5 = -6+5

x = -1

3.6 = -2p+5.8

3.6-5.8 = -2p+5.8-5.8

-2.2 = -2p

-2.2/-2 = -2p/-2

1.1 = p

2x+6 = -4x

2x+6-6 = -4x-6

2x = -4x-6

2x+4x = -4x-6+4x

6x = -6

6x/6 = -6/6

x = -1

21-6x = -11-14x

21-6x-21 = -11-14x-21

-6x = -14x-32

-6x+14x = -14x-32+14x

8x = -32

8x/8 = -32/8

x = -4

Answer:

5.) a= 4

7.) x= -8

9.)x= -1

11.) p= 1.1

13.) x= -1

15.) x= -4

Step-by-step explanation:

5.) divide 11.6 by 2.9a

7.)divide 29.6 by -3.7u

9.) Divide by sides by -3. simplify. Add 5 to both sides. then simplify again x= -1

11.) subtract 5.8 from 3.6 . you're left with -2p=-2.2 divide both sides by -2. you get p=1.1

13.)Subtract 6 from both sides. You get 2x= -4x-6. Add 4x to both sides. then divide -6 by 6 you get x=-1

15.) Simplify both sides of the equation, so add 14x to -6x +21 side, you get 8x= -32 then divide -32 by 8x you get -4

Answer:

Step-by-step explanation:

The answer is c

Answer:

C

Step-by-step explanation:

Answer:

the side that is opposite of the right angle is called the hypotenuse

Step-by-step explanation:

enjoy this cat

Answer:

lol i need help on that 2

Step-by-step explanation:

Answer:

The range is {5,2,1,10}

Step-by-step explanation:

If the domain is {-2,-1,0,1,3} then plug those values in for x in the equation of f(x). To start you would get f(x)=(-2)^2+1, which is 5, and then keep solving those respective equations.

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

Answer:

hey your answer would be   3x • (2x2 - 1)

please tell me if im wrong

Step-by-step explanation:

Answer:

look at the picture i have sent

In the right ABC above, the length of the side BC is 4.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

Given;

Side BA= [tex]\sqrt{11}[/tex]

Side AC= [tex]\sqrt{5}[/tex]

BC^2=BA^2+AC^2

BC^2= ([tex]\sqrt{11}[/tex])^2 +([tex]\sqrt{5}[/tex])^2

BC^2= 11+5

BC^2= 16

BC= 4

Therefore, the Pythagoras theorem gives answer 4

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-9, 6, -4)

Substitute the values in the above equation and you will get

d = √(-9)^2 + (6)^2 + (-4)^2

= √(81 + 36 + 16)

= √133

= 11.53

Answer:

The answer is 11.53

Answer:

negative square root will result in zero x-intercepts

Step-by-step explanation:

there are no x-intercepts because if you use the quadratic formula on the equation you get a negative square root which results in zero x-intercepts

in this case, a=-1, b=4, c=-12

[-4±√4² - 4(-1)(-12)] / 2(-1)

= [-4 ± √16-48] / -2

= -4 ± √-32 / -2

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2