Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????

Answers

Answer 1

Answer:the answer is (-2,1)

Step-by-step explanation:

When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.

Answer 2

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is located on a coordinate plane.

Angle C is at (1, 2).

This means that,

Angle C = (1, 2) is in the I Quadrant.

We have four Quadrant:

Quadrant I - The coordinates are in the form of (x, y)

Quadrant II - The coordinates are in the form of (x, -y)

Quadrant III - The coordinates are in the form of (-x, -y)

Quadrant IV - The coordinates are in the form of (-x, y)

If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.

So,

C = (1, 2) will become C = (-1, 2)

Thus,

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

Learn more about triangles here:

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Related Questions

Find the slope:
A.3/5
B.5/3
C-3/5
D.-5/3

Answers

Answer:

The slope of the line is  [tex]\frac{-5}{3}[/tex] ⇒ D.

Step-by-step explanation:

The rule of the slope of a line is

m =  [tex]\frac{y2-y1}{x2-x1}[/tex]  (x1, y1) and (x2, y2) are two points lie on the line

Use the given figure to find two points on the line

→ From the given figure

∵ The line passes through points (0, 2) and (3, -3)

x1 = 0 and y1 = 2

x2 = 3 and y2 = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-2}{3-0}=\frac{-5}{3}[/tex]

∴ m = [tex]\frac{-5}{3}[/tex]

The slope of the line is  [tex]\frac{-5}{3}[/tex]

Help needed ASAP will give brainliest and 5 stars rate not a test

Answers

Answer:

area square inches is less than 1.2

Step-by-step explanation:

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena's bedroom door is 0.08 m. How wide should the door be on the scale drawing? Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed

Answers

Given:

Bedroom is a rectangle with length 5 m and width 3 m.

Elena's bedroom door is 0.08 m.

Elena's bed measures 4 cm by 3 cm.

Scale of drawing is 1 to 50.

To find:

The width of door on the scale drawing.

Actual measurements of her bed.

Step-by-step explanation:

Scale of drawing is 1 to 50.

It means, the length of sides in drawing is [tex]\dfrac{1}{50}[/tex] of actual.

Elena's bedroom door is 0.08 m.

1 m = 100 cm

0.08 m = 8 cm

Door on the scale drawing [tex]=\dfrac{1}{50}\times 8[/tex]

                                             [tex]=0.16[/tex]

Therefore, the Door on the scale drawing is 0.16 cm wide.

Elena's bed measures 4 cm by 3 cm on the scale drawing.

Elena's bed actual measurements are

[tex]4\times 50=200cm=2m[/tex]

[tex]3\times 50=150cm=1.5m[/tex]

Therefore, the actual measurements of her bed is 2 m by 1.5 m.

Evaluate 2x2 + 4 if x = 2

Answers

Answer:

x = 12

Step-by-step explanation:

insert 2 into the equation where x is.

2(2)2 + 4

so this is 2 * 2 * 2 + 4 = 12

2(x)2+4= 2x2x2+4= 12

the double number line show the ratio of feet to miles
how many feet are in 3 miles​

Answers

There are 15,840 feet in 3 miles
how many feet are in 3 miles?
answer: 15, 840

Lily cleans 3 houses in 7.5 hours. If she works 8-hour days for 7 days (with no breaks), how many houses could she clean?

Answers

Answer:

About 21 houses in 7 days

Step-by-step explanation:

Question 6 of 10
What is the length of the blue segment in Oo below?
8.53
A. 8.53 units
B. 12.48 units
C. 17.06 units
D. 6.24 units

Answers

A. 8.53 units is the length of the straight which is perpendicular to the straight line CD

Simplify 23/128 ........

Answers

Answer:

23/128 is the most simplified form

Step-by-step explanation:

The GCF of 23 and 128 is 1, so it can't be reduced any further.

I hope this helps!

It’s already in its simplest form

1. Is 60/12 = 6/2 a proportion Yes or No? 2. Is 3/24 = 4/32 a proportion Yes or No?

Answers

Answer:

1. no

2. yes

Step-by-step explanation:

help me solve this, cause me stuck

Answers

Answer:

[tex]4 \times 10 {}^{ - 4} [/tex]

Hopes it helps you.....

Thank you ☺️

Solve 6kx = 4kx + 8 for x.
Start by collecting the variable terms on the same side of the equation.

What is the first step?

Answers

Answer:

x = 4k

Step-by-step explanation:

6kx = 4kx + 8

The first step in solving for x is to get both numbers with kx on the same side. Move the 4kx to the left side of the = by subtracting 4kx from each side.

2kx = 8

Next, move the 2k to the right side of the = by dividing both sides by 2k

x = 8/2k

The last thing to do is to simplify the equation by making the 8/2 to 4/1 or 4.

x = 4k

What is the slope of the line

Answers

Answer:

-1/2 is the slope

Step-by-step explanation:

this is because you move 4x on the other side of the equasion making it -4x, you divide by 8 and it makes -1/2x

Solve each system by elimination: -6x-y=-17 -2x-3y=-3

Answers

Answer:

(3, -1)

Step-by-step explanation:

Multiply the 2nd equation (-2x-3y=-3) times -3 to eliminate x

Subtract/add the other terms -y + 9y and -17 + 9

Then divide 8y = 8

y= -1

Substitute y in the other equation

x = 3

(3, -1)

Answer:

Point Form: ( 3 , − 1 )

Equation Form: x = 3 , y = − 1

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

solve: 4(x+1)= -3x-10
SHOW WORK!!!!
WILL MARK BRAINLIEST

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = -2

▹ Step-by-Step Explanation

4(x + 1) = -3x - 10

Distribute 4:

4x + 4 = -3x - 10

4x + 3x

Move the terms:

4x + 3x + 4 = -10

Collect like terms:

7x = -10 - 4

7x = -14

FINAL ANSWER:

x = -2

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

The cost to rent a construction crane is $1200 per day plus $150 per oh use. Your budget for one-day crane rental is a most $3600

Answers

1200 + 150 = 1350 (if one day and one use)

Budget is 3600

We can use the crane 16 times

Explanation:

Budget is 3600 and 1200 + 150 (16) = 3600

Darryl has $12 to spend on snacks after he buys his movie ticket.He buys a $6.50 popcorn.if he spends the rest of his money on $2.10 candy bar’s, how many bars can he buy ?

Answers

6.50 + 2.10x = 12
-6.50 on both sides
2.10x = 5.5
/2.10 on both sides
x = 2.6

Answer:
Darryl can buy 2 snacks.

Please see if you can do this problem! Thank you so so much!!

What is the equation of the line that passes through point ( -6, 5) with a slope of 4?

I chose y=4x+29 but got it wrong

Answers

That the answer I got too
are you sure you choose the correct option?
the equation should be y= 4x+29

Elyse wants to buy a new softball glove that costs $45. She has $15 and plans to save 5 each week. How many weeks will it take her to save the money?

Answers

Answer:

6 weeks :)

Step-by-step explanation:

it will take her 6 weeks

45-15 is 30.

30/5 is 6

Answer:

It will take her 6 weeks.

Step-by-step explanation:

$45-$15=$30

$30 ÷ $5 = 6

if a = 4 and b=3, what is the value of (a+b) (a-b)​

Answers

Answer:

-7

Step-by-step explanation:

(4+3)x(4-3)

4+3=7

4-3=-1

7x-1= -7

-3 3/7 x 3/8. Explain step by step.

Answers

1.28571428571 this is the answer thank you please give me 5 stars.plis

x/10 +6 ≥ 8 (please help me with this asap)

Answers

Answer:

x >= 74

Step-by-step explanation:

x/10 (* 10) + 6 >= 8 (* 10)

x + 6 (- 6) >= 80 (- 6)

x >= 74

Answer:

does the dog talk spanish

Step-by-step explanation:

Solve each equation using the Properties of quality. Check your solutions
3. 4a + 3 =11
4. 8 =3r-1
6. 3x + 0.3 =3.3
5. 42=-2d+ 6
8. 9-c= -13
7. 15y + 31 =61

Answers

3. a=2
4. r=3
6. x=1
5. d=-18
8. c=22
7. y=2

8x = 10x + 20


Could you guys explain as well?

Answers

Answer:

x= -10

Step-by-step explanation:

-8x+10x+20=0

2x+20=0

2x=0-20

2x=-20

x=-20/2

x= -10

Answer:

x = -10

Step-by-step explanation:

8x (-10x)= 10x +20 (-10x)

subtract 10x from both sides of the equation

-2x/-2 = 20/-2

divide both sides by -2

x = -10

Tina recorded these temperatures in one day:

Morning temperature: +8°F
Afternoon temperature: 0°F
Night temperature: −3°F

Which statement is correct based on the given measurements?

The morning temperature was 8 degrees above the night temperature.
The morning temperature was 8 degrees below the afternoon temperature.
The night temperature was 3 degrees below the afternoon temperature.
The night temperature was 3 degrees above the morning temperature.

Answers

Answer: the night temperature was 3 degrees below the afternoon temperature

Step-by-step explanation:

i need to know the answer to this, im not sure if i know it.

Answers

Answer:

Put a Greater than symbol >

Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.

-5 with absolute value becomes a regular 5

Answer:

its >

Step-by-step explanation:

a submarine dived 308 feet in 4 minutes. Find the average change in depth of the submarine each minute

Answers

Answer: 77

Step-by-step explanation:

10. State whether each statement is true or false.

Answers

Answer

False

True

False

->False
->True
->False

Determine whether the statement is TRUE or FALSE.
1. 5 | 475

Answers

Answer:Not possible to divide really.

Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...

physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?

Answers

Answer:

Side length of each booth is 8.35 ft approximately.

Step-by-step explanation:

There are 11 companies set up equal sized square booths in a row along one wall of a convention center.

Now, refer the diagram to answer the problem.

It is given area is 1200.

So, length x width =1200

(11x+24)(x+2)=1200

Multiply using FOIL method.

[tex]11x^{2}[/tex]+22x+24x+48=1200

[tex]11x^{2}[/tex]+46x+48-1200=0

[tex]11x^{2}[/tex]+46x-1152=0

Solve using quadratic formula

x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]

x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]

x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]

Simplify it

[tex]x=\frac{-49+/- 229.79}{22}[/tex]

Simplify to get two values for x.

x=8.35; x=-12.67

Here negative does not work.

Side length of each booth is 8.35 ft.

here is a list of number
51 38 48 36 39 40 39 47​

Answers

Answer:

mode is 39

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

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