What is the rotation of point A (-2, 3). 90 degrees?
A. (2,3)
B. (-2,-3)
C. (3,-2)
D. (3,-2)

Answers

Answer 1

Step-by-step explanation:

Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.

So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.

z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)

=−3−y0+x0+(2+x0+y0)i

x=Rz

y=Iz

Thus the new point is at (−3+x0−y0,2+x0+y0)

hence (-3,2)


Related Questions

Select the correct answer.
If a line crosses the yaxis at (0, 1) and has a slope of 4/5', what is the equation of the line?
O A 4y-5x= 5
OB. y - 4x = 5
OC. 5y + 4x = 5
OD. 5y - 4x = 5

Answers

Answer:

Your correct answer should be D.

I graphed on Desmos.

Step-by-step explanation:

PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST

Answers

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

PLEASE HELP DUE IN 10 MINUTES HURRY!!!!!
Find two points from this graph below. Then determine what the slope is.

Answers

Answer:

5/3

Step-by-step explanation:

(-2,-5) and (1,0)

using the slope formula you get your answer

Question 3
Considering that Carl is 44 years old, what is the probability that he will live to the age of 85?

Answers

A probability of 41 into reaching the age of 85

Answer:

Considering that Carl is 44 years old, what is the probability that he will live to the age of 85?   0.3298

Step-by-step explanation:

Find the slope of the line
(2,3) (13,8)

Answers

Answer:

[tex]\boxed{m=\frac{5}{11}}[/tex]

Step-by-step explanation:

[tex]\left(2,\:3\right)\:\left(13,\:8\right)[/tex]

[tex]\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:3\right)[/tex]

[tex]\left(x_2,\:y_2\right)=\left(13,\:8\right)[/tex]

[tex]Slope(m)=\frac{8-3}{13-2}[/tex]

[tex]m=\frac{5}{11}[/tex]

HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score??

MY LAST POST GOT REMOVED PLS HELP I NEED THIS DONE TODAY!!

Answers

Interpreting the situation, we have that:

a) The system of equations is:

[tex]y = 2x - 7[/tex]

[tex]y = 6 + x[/tex]

b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.

Item a:

In our system, we have that:

Jacob's score is of x.Paul's score is of y.

Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:

[tex]y + 7 = 2x[/tex]

[tex]y = 2x - 7[/tex]

Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:

[tex]y = 6 + x[/tex]

Item b:

Equaling both equations:

[tex]2x - 7 = 6 + x[/tex]

[tex]x = 13[/tex]

[tex]y = 6 + x = 6 + 13 = 19[/tex]

Jacob scored 13 and Paul scored 19.

A similar problem is given at https://brainly.com/question/24104709

Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the smaller. What is the width of the rectangles?

Answers

Answer:

Both Rectangles have a width of 4

Step-by-step explanation:

2x = x +3
Help pls I can’t do this one

Answers

Answer:

x=3

Step-by-step explanation:

Subract the x from the left side and add it to the right side and then you got your answer

which expression uses the distributive property to represent the sum of 28+42

Answers

Answer:

(2 x 14) + (3 x 14) = 5 x 14 = 70

Answer:

14(2 + 3)

Step-by-step explanation:

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

any tips on eaiser ways to factor completely. algebra 2!! please

Answers

watch a lots of videos and look at reliable resources brainley is not reliable by the way

Algebra 2 - Factoring Polynomials - You Tube

Step-by-step explanation:

any of these top videos are helpful anything specific you need help with

Help please i beg you (;´༎ຶٹ༎ຶ`)

Answers

Answer:

A and D

Step-by-step explanation:

A. True, 7² = 49B. False, 100² = 10000, shown 1000C. False, (7/8)² = 49/64, shown 14/8D. True, 0.1² = 0.01

Dean sai de casa para caminhar ate a escola que fica a 10 quadras de distancia .ele mantem um ritmo constante o tempo todo emquanto caminha ele sente fomd d decide começar a comer biscoitos a um taxa de 1 biscoito por 5 minutos toda a caminhada sele leva 20 minutos




a. Quantos biscoitos o dean come quando chega á escola




B. Quantos biscoitos dean come por bloco





C.quantos quarteiroes dean anda por minuto

Answers

A. Quintos biscottis o dean come quando chega a escola

Write equation in slope intercept from of the line

Answers

Answer:

y= 1/2x + 3

Step-by-step explanation:

good luck lmk if u have any more questions

can someone help me with this i am so confused

Answers

Answer:

HGI = 30

b/ce they are Vertically opposite angles

JGH = FGI

Answer:

1: Angle HGI is 30 degrees, Angle FGI is the same as JGH

Hope that helps. Brainliest is appreciated if it did!


Where on the coordinate plane is the point (-85, 52) located?
O Quadrant 4
O Quadrant 2
Quadrant 3
O Quadrant 1
Next >
Previous

Answers

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

I really need some help

Answers

Answer:

y-2=2(x-12)

the alternative is

y+3=2(x-2)

Step-by-step explanation:

Someone help me I will mark you as brain

Answers

Step-by-step explanation:

that is really, really simple.

h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.

h(x) = -3x - 10

so,

h(-3) = -3×-3 - 10 = 9 - 10 = -1

Answer:

-1

Step-by-step explanation:

h(x) = -3x - 10    

h(-3)            means to replace the x in the problem with the value of -3 and  

                   solve.

h(-3) = -3(-3) - 10

h(-3) =  9 - 10

h(3) = -1

A rocket needs to reach a speed of 28,300 km/hr in order to get into orbit around Earth. How fast is this in miles per second.

Answers

Answer:

Step-by-step explanation:

1 km = 0. 621371 miles

28,300 km = 28,300* 0. 621371 miles = 17,584.7993 miles

1 hour = 60 *60 seconds  = 3,600 seconds

speed of 28,300 km/hr =

17,584.7993 miles / 3,600 seconds ≈ 4.88 miles / second

30 POINTS, WILL GIVE BRAINLIEST IF ONLY RIGHT
Which of these expressions is equivalent to log 200?

A) 2 + log 2
B) 2 + log 20
C) log 50 + log 150
D) log 250 – log 50

Answers

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

1 4 cm 4 cm 5 cm 3 cm Perimeter: Area:​

Answers

Answer:

Step-by-step explanation:

840

Jane bought a shirt for $27, a skirt for $32, and a pair of shorts for $14. Choose the answer that is the best estimate for the total cost of these items.

Answers

Answer:

70

The answer is 70

Which of the following shows a correct estimate for 26% of 78?

Answers

Answer:answer is 13

Step-by-step explanation:

So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13

Gold and silver are mixed in the ratio 7:4.if 36gm of silver is used.How many gold is used

Answers

Answer:

63gm

Step-by-step explanation:

7 gold : 4 silver

It gives you 36 silver.

to get from 4 silver to 36 silver you multiply by 9.

you multiply the gold by the same amount 9.

7*9= 63

you can see that for every 7 gold pieces there is 4 silver pieces. they keep piling up the pieces until there's 36 silver pieces. now they wanna know how much gold there is.

HELP ASAP WILL GIVE 15 points
Choose the function that includes the given points.

Answers

Answer:

Top Right

Step-by-step explanation:

all the brackets are in the form (X, Y), Y=P(x)

just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest

Answer:

Top right/second answer is correct

Step-by-step explanation:

I did it

Please help ! For geometry

Answers

7x+1+18x+4=180
25x+5=180
25x=175
x=7
7(7)+1=50
Angle 2 is 50 degrees :)

Answer:

50°

Step-by-step explanation:

(7x+1)+(18x+4)=180

x=7

determines by estimate which answer is best.

635•0,67

125 225 325 425

Answers

Answer:

2

Step-by-step explanation:

2


Pls help will mark the brainiest

Answers

I’m pretty sure it’s answer a!

please help me i’m being timed

Answers

A) It is a right-angle triangle if one of the angles in the triangle is 90 degrees.

B) No because an equilateral triangle has 3, 60 degree angles so it cannot be a right-angle triangle.

Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%

Answers

Answer:

$0.035

Step-by-step explanation:

Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.

Answers

Answer:

75 + 12d

Step-by-step explanation:

he pays $75 dollars up front. he then pays a rate of $12 per day

12X + 75 = Goat cost in all.
Reason: x is your days, 12 is cost per days, +75 is what he spent setting up his goat pen!
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