Point Q was rotated about the origin (0,0) by -45 degrees

Answers

Answer 1

Answer:

0,0

Step-by-step explanation:

Answer 2

The point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).

From the given graph, the coordinates of point Q are (-3, 5).

Rotating the co-ordinate axes through an angle of 45° in anti-clockwise direction is equivalent to rotating the point through an angle of -45° about origin.We will use rotation from complex numbers to solve this.

Let x + iy the new complex number

(-3+5i)[tex]e^{\frac{-\pi i}{4} }[/tex]

= (-3+5i)((1-i)/√2)

= (-3+5i)(1-i) ×1/√2

= (-3+5i+3i-5i²) ×1/√2

= (-3+8i+5) ×1/√2

= (2+8i) ×1/√2

= (2/√2 + 8i/√2)

= (√2 + 4√2i)

So, the coordinates are (√2, 4√2)

Therefore, the point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).

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Point Q Was Rotated About The Origin (0,0) By -45 Degrees

Related Questions

The salesman gave me 20% off of my new laptop regularly priced $500. How
much did I save? *

Answers

Answer:

100

Step-by-step explanation:

20% of 500 is 100

Answer:

$100

Step-by-step explanation:

20% is the same as 1/5. 1/5 of 500 is 100. Then add dollar signs, and you have your answer.

When writing an equation in slope-intercept form, you need the values of the

Answers

Answer:

slope, m

y-intercept

Step-by-step explanation:

When writing an equation in slope-intercept form, there will be need for slope and y- intercept.

What is the slope intercept form of an equation ?

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

To writing the slope intercept form of the equation,

There will be requirement of slope,

and y intercept, it will be in form of (0, a), here a will be value of y coordinate.

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24=−3(2a−14)−3a
what is A?

Answers

Answer:

a = 2

Step-by-step explanation:

Hope this helps and have a nice day :)

Answer:

a=3

Step-by-step explanation:

24=3(2a-14)-3a

distribute

24=6a-42-3a

subtract 3a from 6a

24=3a-42

add 42 to both sides

66=3a

divide 3

3=a

a=3

hope this helps :)

Y’all I need help!!! {picture}

Answers

Answer:

first and second choice

Which sequence of transformations proves that shape I is similar to shape II?

A.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units right, and then a 90° clockwise rotation about the origin
C.
a 180° counterclockwise rotation about the origin
D.
a reflection across the y-axis, and then a translation 4 units up
E.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down​

Answers

Answer:

E

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

HELPP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a warm front is happening

Answer:

hot

Step-by-step explanation:

2(2.8s + 2.5) =

Please use the distributive property and answer the expression.

Answers

Answer: 5.6s+5

Step-by-step explanation: hope this helps

btw can i have brainliest?

5.6+5= 10.6................

A fundraiser is being held to support a local nonprofit organization. Admission costs $10, and each raffle ticket costs $3. There are no other possible costs. If an event-goer pays the admission fee and buys x number of tickets, what type of function should be used to model the total amount spent by the event-goer at the event?

Answers

Answer:

y= 10+ 3x

10 is the admission fee

3x is the cost for each ticket

y is the total

The function for the total cost (y) spent by the event-goer at the event is

y = 3x+10

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, Admission costs $10, and each raffle ticket costs $3. There are no other possible costs.

Let the total cost be y,

Therefore, establishing the function, for x number of tickets.

y = 3x+10

Hence, the required function is y = 3x+10

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What is the value of f -1 (12)

Answers

-1 us a answer for your questions or support

The correct answer is The first one -2

I WILL MARK BRAINIEST
PLEASE HELP ASAP

Answers

Answer:

2101

Step-by-step explanation:

Apply -12 to the x

-(-12)^3+3(-12)^2+5(-12)+1

Then Simplify

2101

I hope it's right

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5, -8): y = - 3x + 2​

Answers

Given:

The equation of line is

[tex]y=-3x+2[/tex]

To find:

The equation of line parallel to given line and passes through (-5,-8).

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get

[tex]m=-3[/tex]

Slope of given line is -3.

Slope of two parallel lines are same. So, the slope of parallel line is -3.

Equation of line passes thorough the point (-5,-8) with slope -3 is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the line.

[tex]y-(-8)=-3(x-(-5))[/tex]

[tex]y+8=-3(x+5)[/tex]

[tex]y+8=-3x-15[/tex]

Subtract 8 from both sides.

[tex]y=-3x-15-8[/tex]

[tex]y=-3x-23[/tex]

Therefore, the equation of required line is [tex]y=-3x-23[/tex].

Solve the system.

x+2y=0

2x-y=4

The solution is ___

Explain your choice of method.

Answers

Answer:

x = 8/5 and y = -4/5

The method used was SUSTITUION METHOD

Step-by-step explanation:

x = -2y

2(-2y)-y = 4

-4y-y = 4

-5y = 4

y = -4/5

then

x= -2(-4/5)

x = 8/5

Find the product.
(4x2 + x - 5)(2x + 1)

Answers

8x^3+6x^2-9x-5

Hope this helps

simplify polynomial expressions with multiplication:
(8p-7)(5p^2+7p-3)

Answers

Answer:

-2p3 • (62p2 + 72p - 143)

Step-by-step explanation:

Item 4
Write an equation in point-slope form of the line that passes through the point (2,−8) and has a slope of 4.

Answers

Answer:

y = 4x - 16

Step-by-step explanation:

Plug in the slope and point into y = mx + b, and solve for b:

y = mx + b

-8 = 4(2) + b

-8 = 8 + b

-16 = b

Then, plug in b and the slope into y = mx + b

y = 4x - 16 is the equation in point slope form

9514 1404 393

Answer:

  y +8 = 4(x -2)

Step-by-step explanation:

Point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . line of slope m through point (h, k)

Filling in the given point and slope, you have ...

  y -(-8) = 4(x -2)

  y +8 = 4(x -2)

Help Plz 10pts will be given

Answers

Answer:

Is the first one 3 over 7

Step-by-step explanation:

In softball, Marissa hits the ball 40% of the time when she is up to bat. Based on this information, how many times will Marissa hit the ball if she goes to bat 30 times?

Answers

Answer:

Marissa hit the ball 12 times if she goes to bat 30 times.

Step-by-step explanation:

Given that:

Marissa hits the ball 40% of the time when she is up to bat.

Marissa gets to bat for 30 times.

Balls hit by Marissa = 40% of the times Marissa goes to bat

Balls hit by Marissa = [tex]\frac{40}{100}*30[/tex]

Balls hit by Marissa = 0.4 * 30

Balls hit by Marissa = 12

Hence,

Marissa hit the ball 12 times if she goes to bat 30 times.

It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67

Answers

Answer:

25

Step-by-step explanation:

Find the value of the trigonometric ratio.
9) sin z

Answers

Answer:

SinZ=24/40 = 12/20 = 3/5

C)

The value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.

What are trigonometric ratios?

The trigonometric ratios are the ratios of sides of two sides of right angled triangle used in trigonometry. Trigonometric ratios are used to find the value of the acute angles in a right triangle when the sides of the triangle are given.

We have,

A right-angled triangle XYZ with the given values,

Angle Y = 90°

And,

YZ = 32, XY = 24 and XZ = 40,

Now,

Using the trigonometric ratios,

i.e.

[tex]Sin Z=\frac{Perpendicular}{Hypotenuse}[/tex]

i.e.

[tex]Sin Z=\frac{XY}{XZ}[/tex]

So,

[tex]Sin Z=\frac{24}{40}[/tex]

On simplifying,

We get,

[tex]Sin Z=\frac{3}{5}[/tex]

So,

The option C is the correct answer for the given triangle find out using trigonometric ratio,

Hence, we can say that the value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.

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What is the area of rectangle ABCD?

Answers

Answer:

8 squares

Step-by-step explanation:

i think 8 squres iscorrect answer

Answer:

8 square units

Step-by-step explanation:

count the number of squares the rectangle is taking

or length times width

2x4

need help finding out something, refer to picture

Answers

Answer:

He made a mistake in the second line.

Step-by-step explanation:

He factored out x out of 6-2x and 5+4x, which is not possible because there is not an x in both 6 and 5.

No x I n 6 ddmrmkebw edd dndnd

I need help !! this is geometry hw

Answers

Answer:

angle a=64, longest side AV : shortest side: TV

angle c=55 longest side: BW shortest side: CB

angle z =24 longest side: XZ shortest side: XP

Step-by-step explanation:

What is the rental rate, in dollars per person, if 6 people plan to rent the houseboat?
1
Number of People (X)
Rental Rate (P dollars per person)
2
3
240
120
80

Answers

Answer: 120 i think

Step-by-step explanation:

In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).

Answers

Answer:

1/9 cup of sugar for every 1/4 cup of flour

Step-by-step explanation:  Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.

What is the length of segment JK

A. 6
B. 8
C. 9
D. 10

Answers

JK is equal to 9, so c
You have to set up a proportion, i’m going to use LM and DC
i’m going from the biggest quad to smallest quad, while setting up a proportion. 20/15=12/x
cross multiply, getting 20x=180
then divide both sides by 20, getting 9!

Which type of data would be best displayed in a box plot?

Answers

Answer:c

Step-by-step explanation:i took the test

option C, The number of votes received by each of four candidate can be best displayed in  a box plot.

Explanation:

We need to find which type of data can be displayed in a box plot from the given options.

The box plot can  used to show the shape of a distribution, the lower value , higher value ,  the central value, and its variability.

The graph shows how the values of the data are spread out .It is the distribution of numerical data. Box plot can be used to compare multiple groups .

So, the answer can be option C

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Pls help I will give brainlist!


Match each inequality with the number line that represents it.

Answers

Answer:

-3 [tex]\leq[/tex] x matches with 6,

3 < x matches with 5,

x [tex]\geq[/tex] 3 could not simplify any further

x < 3 could not simplify any further

x [tex]\leq[/tex] -3 could not simplify any further

-3 > x matches with 3

Step-by-step explanation:

i used a inequality calculator

Fernando is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. How long does each routine last?

Answers

Answer: Arm routine = 11 minutes

Abdominal routine = 22 minutes

Step-by-step explanation:

Let the minutes used for an arm routine be represented by x.

Let the minutes used for an abdominal routine be represented by y.

Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:

2x + 3y = 88

This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:

4x + y = 66

2x + 3y = 88 ...... i

4x + y = 66 ...... ii

Multiply equation I by 4

Multiply equation ii by 2

8x + 12y = 352 ...... iii

8x + 2y = 132 ...... iv

Subtract iv from iii

10y = 220

y = 220 / 10

y = 22

An abdominal routine last for 22 minutes

From equation I

2x + 3y = 88

2x + 3(22) = 88

2x + 66 = 88

2x = 88 - 66

2x = 22

x = 22/2

x = 11 minutes

An arm routine last for 11 minutes

Lupe spent $6.48 on a notebook and a pack of pencils, including tax. If the notebook cost $2.00 and the pencils cost $3.99, how much was the tax?

Answers

48 cents ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Which word below means ¨to make as small as possible

Answers

Answer:

Minimize

Step-by-step explanation:

Hope this helps!

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