A triangle has vertices at (−2, −2), (−2, −5), and (−4, −5). The triangle is translated 2 units to the right and rotated 90° clockwise about the origin. What are the coordinates of its image?
( , ), ( , ), ( , ) → ( , ), ( , ), ( , ),

Answers

Answer 1

Step-by-step explanation:

translated (shifted) 2 units to the right (positive x direction) creates the points

(-2 + 2, -2) = (0, -2)

(-2 + 2, -5) = (0, -5)

(-4 + 2, -5) = (-2, -5)

and now we rotate these points 90° clockwise around the origin.

that means a positive x turns into a negative y, a negative y into a negative x, a negative x into a positive y, and a positive y into a positive x.

and a 0 just trades places.

therefore,

(0, -2) becomes (-2, 0)

(0, -5) becomes (-5, 0)

(-2, -5) becomes (-5, 2)

so, overall

(-2, -2) becomes (-2, 0)

(-2, -5) becomes (-5, 0)

(-4, -5) becomes (-5, 2)


Related Questions

help me pls !!

find x and y

y= -3x=-19
5x+8y=0

Answers

Answer: (x,y)= (152/29, -95/29)

please I need the answers now​

Answers

a 2
b -42/3
c 10
d 36/5
e -2/5
f 18/5
g 2
h 30/7
i 6
j 8

Solve 2(n+17)/8 = 3/8. Show your work

Answers

2(n+17/8 equals 3/8 solution -31/2 =-15.5

Answer:

n=-31/2 or -15 1/2

Step-by-step explanation:

reduce the numbers

2*n+17/4=3/8

n+17/4=3/8

8(n+17) =17

8n+136 =12

8n=12-136

8n=-124

What is the justification for step 3 in the solution process?

0.8a − 0.1a = a − 2.5
Step 1: 0.7a = a − 2.5
Step 2: -0.3a = -2.5
Step 3: a = 8.3

Answers

Answer:

value of a=8.333

Step-by-step explanation:

we take equation two and hence we divide both side by -0.3

hence

-2.5/-0.3

=8.333

Answer:

is letter A .the division property of equality

Step-by-step explanation:

Hope it help you!!

aayan gets 48 out of 60 in his music exam. state the result as a percentage

Answers

Answer:

It can be set up as: 48/60

But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%

What is the slope of
A. y - 5 = 3/2 (x + 4)
B. y + 2 = 5x
C. y = -2 (x - 5/8)

Answers

Answer:

[tex] - - - - - (a) \: y - 5 = \frac{3}{2} (x + 4) \\ y - 5 = \frac{3}{2} x + \frac{3 \times 4}{2} \\ y - 5 = \frac{3}{2} x + 6 \\ y = \frac{3}{2} + 11 \\ (the \: slope \: is \: \frac{3}{2} ) \\ - - - - - - - - ( b) \: y + 2 = 5x \\ y = 5x - 2 \\ (the \: slope \: is \: 5) \\ - - - - -(c) \: y = - 2(x - \frac{5}{8} ) \\ y = - 2x + \frac{5}{4} \\ (the \: slope \: is \: - 2)[/tex]

What is the radius and diameter of 11cm

Answers

I believe it is 5.5cms

Step by Step Explanation:
11 divided by 2 is 5.5cms
The diameter of a circle ⭕️ is two times its radius.

Hope this helps!!!!

Answer: Radius=11cm Diameter=22cm

Step-by-step explanation:

How do you solve?
2.5 x 1/4=

Answers

here you go, hope this helps

Help me I need help please please help

Answers

Answer:

B is the answer I believe. I could be C tho. B is my final answer.

Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?

Answers

Principal= 850

rate = 0.75%

period = 18months

interest = 850x0.75%x18

= 850x0.0075x18

= 114.75

amount after 18 months

= 850+114.75 = $964.75

The area of the isosceles triangle below

Answers

Answer:

area:39

Step-by-step explanation:

What is the equation of the line that passes through the point (3,5) and has a slope of 2?​

Answers

Answer:

y=2x-1

Step-by-step explanation:

The equation for a line (slope-intercept form) is:

y=mx+b

m: slope

b: y-intercept

x and y: (x, y) coordinate pair

In this scenario, since we are given the slope and a point on the line, we can solve for the y-intercept:

y=2x+b

5=2(3)+b

5=6+b

Subtract 6 from both sides

b=-1

Therefore the equation of the line is:

y=2x-1

422801,15÷101
long division​

Answers

Answer:

4186.15

Step-by-step explanation:

Answer:

418,615 or 4,186.15

Step-by-step explanation:i cant tell if it is a desimal or a full number if desimal 4,186.15 if not desimal 418,615

Old MacDonald had a farm with some raspberry bushes. During the summer 5 of the bushes died from the heat. Each bush produces 6 pounds of raspberries in the fall. MacDonald gathered 96 pounds of raspberries that fall. How many bushes did he have before summer?​

Answers

96/6=16
16+5=21
he had 21 bushes during the summer

Answer:

21

Step-by-step explanation:

5 bushes ×6 pounds is =30 pounds

30pounds + 96pounds = 126pounds

126pounds ÷6 = 21bushes

Old Macdonald had 21 bushes before summer

Someone solve for a and b pls

Answers

Answer:

  a) rise 5, run 5, slope 1

  b) rise 10, run 5, slope 2

Step-by-step explanation:

The rise is the vertical difference between the points. It is the length of the vertical side of the triangle you have drawn. You can determine that length by counting grid squares or by finding the difference of the y-coordinates of the points.

The run is the horizontal difference between the points. It is the length of the horizontal side of the triangle you have drawn. You can determine that length by counting grid squares or by finding the difference of the x-coordinates of the points.

a)

rise = 5; run = 5. (counting grid squares)

slope = rise/run = 5/5 = 1

__

b)

rise = 10; run = 5. (taking coordinate differences: 5-(-5) = 10; 4-(-1) = 5)

slope = rise/run = 10/5 = 2

Tell me about a time you had to solve a complex problem. How did you break down the problem into smaller units to create a solution?.

Answers

Answer:

Look at the big picture. Make sure you understand what the end product is supposed to look like.

Examine the parts of the task. Figure out step-by-step what you need to do because it’s not going to happen through magic.

Think about the logical order of completing the pieces. What should you do first, second, third, etc.?

Step-by-step explanation:

Ya basically that!

please mark brainliest i need 2 more :(

Convert the statement into if-then form, "Squares have right angles."

Answers

Answer:

If the shape is a square, then it has right angles.

Answer:

If a shape is a square, then it has right angles.

Step-by-step explanation:

Hi there!

The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.

I hope this helps!

It will be lovely if anyone would help?

Answers

Answer:

yes

Step-by-step explanation:

I would help. Just give me the question

helpo helpo I'm gonna ie

Answers

are those the answer choise?

Step-by-step explanation:

Answer:

this is extremely simple. the sasha one is right.

Step-by-step explanation:

=======

:))

can someone please help me asap, thank youu!!!

Answers

Answer:

2 or (3-^7)²

Step-by-step explanation:

Hope it helped u

Step-by-step explanation:

(a + b) (a - b) = a² - b² (identity)

3² - (√7)²

9 - 7

2 ans.

hope this helps you !

Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.​

Answers

Answer:

LCM: 60

HCF: 10

Step-by-step explanation:

Listing Multiples

LCM:

Multiples of 20:

20, 40, 60, 80, 100

Multiples of 30:

30, 60, 90, 120

Therefore,

LCM(20, 30) = 60

----------------------------------------

Factorization

HCF:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 10

If Olivia solves every sixth math problem and Nora solves every fifth math problem in a worksheet, which question will be the first that they both solve?

Answers

Answer:

the 30th question

Step-by-step explanation:

the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.

Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)​

Answers

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

using the formula:

→ [tex]\frac{5-3}{3-2}[/tex]

→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.

using the equation formula:

y - y1 = m ( x - x1 )

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D​

Answers

Answer:

Step-by-step explanation:

uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95

The larger the negative number, the lower the value the number actually is.


Answer: b. -1.95, -1.895, -1

In 2010, the population of a city was 114,000. From 2010 to 2015, the population grew by 7.7%. From 2015 to 2020, it fell by 6.6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

From 2010 to 2015 the population grew by 8778 (rounded answer 8800)

Step-by-step explanation:

*

Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4. 2x2 3x − 20 2x2 13x − 1 2x2 13x − 20 2x2 3x − 1.

Answers

The Simplified polynomial expression in the standard form which represents the area of the given rectangle  is,

[tex]2x^2+6x-8[/tex]

What is area of rectangle?

The area of rectangle is the product of its length and width. It can be given as,

[tex]A=a\times b[/tex]

Here, (a) is the length of the rectangle and (b) is the width of the rectangle.

Given information-

One side of the rectangle is labeled as 2x-2.

Another side of the rectangle is labeled as x+4.

The image of the rectangle is attached below.

Let (l) is the length of the rectangle and (w) is the width of the rectangle.

In the below image, the length of the rectangle is,

[tex]l=4x+2[/tex]

The width of the rectangle is,

[tex]w=2x-2[/tex]

The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,

[tex]A=l\times w\\[/tex]

Put the values in the above expression as,

[tex]A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8[/tex]

Thus the area of rectangle in simplified polynomial expression in the standard form is,

[tex]2x^2+6x-8[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/25292087

Graph
2x + y = -1
3x + 2y = -6

Answers

Answer:

graph below

Step-by-step explanation:

Sam is taking photos for the yearbook. She takes 140 photos in the morning. In the afternoon, she takes 60% more photos. How many photos does Sam take in the afternoon?.

Answers

Answer:

224

Step-by-step explanation:

60% more than 140

Which of the following options represents a logical first step that can be used
1
2
to prove the trigonometric identity
1-sin(x) '1+sin(x) cos? (x)
+
?
O
A.
1+sin(x) +1-sin(x)
1-sin(x)
2
cos? (x)
B.
1
1
1
1-sin(x) 1+sin(x)
1
2
cos(x)
C.
2
1
1-sin(x) cos(x) 1+sin(x)
D.
2
1
1+sin(x) cos'(x) 1-sin(x)

Answers

Answer:

A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Step-by-step explanation:

By combining the fractions on the left side into one fraction, we have:

[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].

Find x, then find the measurement of both angles.

Answers

Answer:

x=30

Step-by-step explanation:

2x+54=4x-6[corresponding angles]

2x-4x=-6-54

-2x=-60

x=-60÷-2

x=30

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