Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is rotated 90° counterclockwise about the origin, what are the coordinates of A'?

Answers

Answer 1

Answer:

A(5,2)

Step-by-step explanation:

A 90 degree rotation counterclockwise is

(x , y) -> (-y , x)

Therefore the coordinates of A changes from

A(2 , -5) to A(-(-5) , 2)

A(5,2)


Related Questions

(HELP URGENT TWO VARIABLE INEQUALITIES)

(SEE ATTACHED PICTURE)

Which of the following inequalities matches the graph?

A) The correct inequality is not listed.
B) 5x + y ≥ 1
C) 5x + y ≤ 1
D) 5x − y ≥ 1

Answers

Answer:

D)

Step-by-step explanation:

Line: y = 5x - 1

The shaded space is less than or equal to the line.

So it is y [tex]\leq[/tex] 5x - 1

This is the same as D)


Solve the equation below for x.
cx- 4 = 7

A. x=11/c
B. x=c/3
C. x=3/c
D. x= c/11

Answers

Answer:

a. x = 11/c

Step-by-step explanation:

cx - 4 = 7 [add 4 to both sides of the equation]

cx = 11 [divide by c to isolate x]

x = 11/c

Given that g(x)=2x^2-5. Calculate g(x+4)+2

Answers

Answer:

[tex]2x^2+16x+29[/tex]

Step-by-step explanation:

Given that,

[tex]g(x)=2x^2-5[/tex]

We need to find g(x+4)+2

[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]

Now,

[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]

So, the value of [tex]g(x+4)+2[/tex] is  [tex]2x^2+16x+29[/tex]

Simplify (45-28) - |15-21|

A) 11
B) 17
C) 23
D) 29​

Answers

The answer is A.) 11

-4n + 1/3m + 4n - 4/5m​

Answers

Answer:

[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]        

Step-by-step explanation:

Given the expression

[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}[/tex]

Group like terms

[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}=-4n+4n+\frac{1}{3m}-\frac{4}{5m}[/tex]

Adding similar elements: -4n + 4n = 0

                                      [tex]=\frac{1}{3m}-\frac{4}{5m}[/tex]          

L.C.M of 3m and 5n will be: 15m

so adjusting fractions based on the LCM

                                       [tex]=\frac{5}{15m}-\frac{12}{15m}[/tex]      

Since, the denominators are equal, combine the fractions:  [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

                                       [tex]=\frac{5-12}{15m}[/tex]

                                       [tex]=\frac{-7}{15m}[/tex]

                                       [tex]=-\frac{7}{15m}[/tex]

Therefore, we conclude that:

[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]                    

How come nobody answers my questions? Like wth, I'm stuck but everyone else is getting their questions answered left and right.

Answers

Answer:

That is a good question and it might be your question you are trying to find the answer and maybe  your  question looks hard

Hope this help :)

Step-by-step explanation:

can anyone PLEASE HELP ME with this question i really need help

Answers

the missing angle is 49

Answer:

x = 49°

Step-by-step explanation:

180 = 90 + 41 + x

x = 180 - 131

x = 49

A cyclist travels 8 miles in 15 minutes.
What is her average speed in mph?

Answers

Answer:

0.53 mph

Step-by-step explanation:

A cyclist travels 8 miles in 15 minutes.

So the average speed is

=8/15 mph

=0.53 mph

Her average speed in mph is 0.53miles per hour.

ion understand this one ​

Answers

Answer:

angle 7 = angle 3 because corresponding angles r equal

Multiply 2.3. (-1.2)​

Answers

Answer:

-2.76

Step-by-step explanation:

2.3x(-1.2)

= -2.76

Find C.
Round to the nearest tenth.
90 ft
55 ft
A
В
50 ft
C = [? ]°
YLaw of Cosines: c2 = a+ b2 - 2ab cos C

Answers

9514 1404 393

Answer:

  29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

  C = arccos((a^2 +b^2 -c^2)/(2ab))

  C = arccos((90^2 +55^2 -50^2)/(2·90·55))

  C = arccos(8625/9900) ≈ 29.4002°

  C ≈ 29.4°

Can I get the answer please

Answers

Answer:

C

Step-by-step explanation:

first equation is y=3/4x+2

second equation is -2x+17

25% of 96 is what number round to the nearest tenth of necessary

Answers

Answer:

y = .25 x 96

y = 24

This is the answer.

Step-by-step explanation:

25% is the same as 0.25

25% = 25/100 = 0.25

Multiply 0.25 with 96

0.25 x 96 = 24

24 is your answer

hope this helps

Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method

Answers

Answer: combining like terms

Step-by-step explanation:

how much is 21 hundreds

Answers

21 hundreds would be 2100

Answer:

21,000

Step-by-step explanation:

Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?

Answers

Answer:

Jaycee sold 28 candy bars

Step-by-step explanation:

Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?

From the above question:

$210 = 84 candy bars

$70 = x candy bars

Cross Multiply

210 × x = 70 × 84

x = 70 × 84/210

x = 28 candy bars

Therefore, Jaycee sold 28 candy bars

Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks of butter does Tom need in order to bake a total of 42 cakes?

Answer in the number of additional sticks of butter.

Answers

Answer:

since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes

Four copies of the triangle shown are joined together, without gaps or overlaps, to make a parallelogram. measurements= 5cm, 13cm, 12cm What is the largest possible perimeter of the parallelogram?

Answers

Answer:

Highest Possible Perimeter = 52cm

Step-by-step explanation:

The triangle is not shown. But, the question can still be solved.

The given sides (5cm,12cm and 13cm) of the triangle shows that the triangle is a right angled triangle as proven below:.

[tex]13\² = 5\² + 12\²[/tex]

[tex]169 = 25 + 144[/tex]

[tex]169 = 169[/tex]

Having shown that;

The next step is to determine the highest possible value of the perimeter.

To get the highest possible perimeter;

The 4 triangles have to be joined at the 12cm and 5cm part of each triangle (see attachment).

From the attachment, the perimeter is then calculated as:

Perimeter = 13cm + 13cm + 13cm+ 13cm

Perimeter = 52 cm

Answer: 76

Step-by-step explanation:

Find the measure of BEF

Answers

Answer:

the answer will be 140

Step-by-step explanation:

i am not sure

Answer:

B. 30

hope it helps.

and sorry, if it's wrong.

pls help..thanks,,,,​

Answers

Answer/Step-by-step explanation:

Given, y = k√x

Let's find the following:

a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x

Thus:

16 = k√64

16 = k*8

Divide both sides by 8

16/8 = k

k = 2

b. To find F, substitute k = 2, and x = 100 into y = k√x

Thus:

y = 2√100

y = 2*10

y = 20

F = 20

c. To find x, substitute k = 2, and y = 10√2 into y = k√x.

Thus:

10√2 = 2√x

Divide both sides by 2

(10√2)/2 = √x

5√2 = √x

Square both sides

x = (5√2)²

x = 25*2

x = 50

d = 50

What is the value of x?

Answers

What is the equation?

If I buy 5 plants from the garden centre at £3.00 a plant how much do the plants cost? If I have a £20 note how much change will I get?

Answers

first: £15.00
second: £5.00

Answer:

They will cost you £5.00 total

Step-by-step explanation:

If the plants each cost £3.00

You multiply the amount of plants, in this case is 5 by the price :-

5×3.00

= £15.00

You then subtract the total from the cash

15.00 - 20.00

= £5.00

DWhich measurement is equal to 4 quarts?
D)12 pints
)8 cups
D16 pints
)16 cups
Done

Answers

Answer:

16 cups is equal to 4 quarts

Step-by-step explanation:

Multiply the volume by 4

The required  4 quarts are equal to 16 cups. This means that if you have 4 quarts of liquid, you can pour it into 16 cups and it will completely fill them. Option D is correct.

1 quart is equivalent to 4 cups. This is a standard conversion ratio between quarts and cups. It means that if you have 1 quart of liquid and you want to know how many cups it is, you can simply multiply the number of quarts by 4.

So, to find out how many cups are in 4 quarts, we perform the following calculation:

4 quarts * 4 cups/quart = 16 cups

Learn more about conversion ratios here:

https://brainly.com/question/28407415

#SPJ6

HELP ASAP An office employee ears $600 weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually

Answers

1200~bi-weekly

1200~semimonthly

2400~monthly

31,200~annually

(1, 1) and (4, 3) slope​

Answers

this needs to be 20 characters long but it’s 4/3

Answer:

[tex] \huge \boxed{ \boxed{ \frac{2}{3} }}[/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{3 - 1}{4 - 1} = \frac{2}{3} \\ [/tex]

We have the final answer as

[tex] \frac{2}{3} \\ [/tex]

Hope this helps you

evaluate the expression when c=2. 6c/2​

Answers

Answer:

6

Step-by-step explanation:

Given the expression g(c) = 6c/2, we are to find the value when c = 2

Substitute c = 2 into the expression

g(2) = 6(2)/2

g(2) = 12/2

g(2) = 6

Hence the result when c = 2 is 6

Four bottles of Powerade cost $3.88. Find the unit price of each bottle.

Answers

4.88/4= 0.97 so 97 cents a bottle

HELP
Please don’t answer if you don’t know it.

Answers

Answer:

d=5

Step-by-step explanation:

Answer: d= 5

Step-by-step explanation:

I did this test on edgunity if you need a step by step I can leave it in the comments below. Good luck

Determine the intercept of the line.

Y-intercept : ( ) , ( )
X- intercept : ( ) ( )

Answers

Answer:

Y: (0) (0.4)

X: (0.3) (0)

Step-by-step explanation:

prove me wrong

Rob is saving to buy a new iPad. For every $15 he earns babysitting, he saves $6. On Saturday, Rob earned $75 babysitting. How much money did he save?

Answers

He saves $30 if He earns $75 on Saturday

He saves $6 for every $15
So $75 divided by $15= 5
So 5x$6= $30
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