You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′. Match each vertex of triangle A′B′C′ to its coordinates.

Answers

Answer 1

Answer:

The new vertices will be: A'(-1,-3), B'(-2,-2) and C'(-4,-3)

Step-by-step explanation:

Rotation about the origin depends on the degrees the point is being rotated and direction of rotation.

Let (x,y) be a point on the xy-coordinate plane,

When this point will be rotated about origin 90 degrees counter clockwise, the coordinates of the point become (-y,x) which means that the coordinates will be exchanged and y will be negated.

Given vertices of triangle are:

A(-3, 1), B(-2, 2), and C(-3, 4)

After rotation the new points will be:

A(-3, 1) => A'(-1,-3)

B(-2,2) => B'(-2,-2)

C(-3,4) => C'(-4,-3)

Hence,

The new vertices will be: A'(-1,-3), B'(-2,-2) and C'(-4,-3)


Related Questions

Find the distance between points p (-2,6) and q (4,-8)

Answers

Answer: 2√58

the distance between points p (-2,6) and q (4,-8) is [tex]\sqrt{(4-(-2))^{2}+(-8-6)^{2} } =\sqrt{6^{2} +(-14)^{2} }=2\sqrt{58}[/tex]

Step-by-step explanation:

AVA HEART RATE IS 65 beats per minute. If Avas heart beat 604,800 times, how many full days would have elapsed

Answers

Answer:

520 full days.

Step-by-step explanation:

Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.

I hope this helps:)

Please help meh im so bad at this stuff lol

Answers

Answer:

40 Baskets

Step-by-step explanation:

4 baskets = 1/2 hour

? baskets = 5 hours

This means, 8 baskets = 1 hour

8 x 5 = 40

Therefore,

40 baskets = 5 hours

Answer:

40/1 baskets

Step-by-step explanation:

What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.
-6,6
4, 1,3
0 -3,-1,4
o 1,3

Answers

Answer: option B

Step-by-step explanation:

-4, 1, 3

The roots of the polynomial equation x³ - 7x = 6x - 12 is given by the values x = -4 , 1 , 3

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

x³ - 7x = 6x - 12   be equation (1)

Now , it can be represented as 2 equations of the form

A = x³ - 7x   be equation (2)

And , B = 6x - 12    be equation (3)

On plotting the graphs of the two equations , we get

The point of intersection of the equations is at P ( -4 , -36 ) , Q ( 1 , -6 ) and R ( 3 , 6 )

Therefore , the x coordinates of the points are x = -4 , 1 , 3

Hence , the roots of the polynomial is x = -4 , 1 , 3

To learn more about polynomial equations click :

https://brainly.com/question/13199883

#SPJ7

what the slope of(-7,-5) (5,-17) ​

Answers

Answer:

-1

Step-by-step explanation:

Answer:

y = -1x

Step-by-step explanation:

Find the difference,

(-7,-5) (5,-17) ​

12, -12

12/-12

reduce,

1/-1

-1x

Ace Carlos


Describe how to use scientific notation to write a very large number. Give an example written in both standard form and scientific notation.

Answers

Answer:

Scientific notation is simply changing a number to x times 10^n, where x is no more than 10 and more than 1.

For example, 134 would be 1.34 times 10^2.

100 = 1.
101 = 10.
102 = 100.
103 = 1,000.
104 = 10,000. When we have large numbers, we can rewrite them as powers of ten. ...
Let's Review: Scientific notation is a great way to rewrite numbers with lots of zeros so that they are easier to work with.

What is this math please help ASAP

Answers

Answer:

A) A line

Step-by-step explanation:

Notice that:

x-y=4

-y=4-x

y=-4+x

y=x-4

The equation y=mx+b produces a line, so A) a line would be correct

Answer: is a line

Step-by-step explanation:

because  does it have to be a line from a line

Convert 21.3 feet per minute to yards per minute.

Answers

Answer:

7.1 yard per min

Step-by-step explanation:

math 6th grade
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.

Answers

Answer:

17%

Step-by-step explanation:

1/2+1/3=5/6,so 1/6 left. That is 16.66666666666667 or 17%..

Hope this helps plz hit the crown :D

Write the equation of the line fully simplified slope-intercept form

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

y = (5/2)x - 5

Step-by-step explanation:

SLOPE:

The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2

Y-INTERCEPT:

Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.

Therefore, the equation y = (5/2)x - 5

Which equation is a point slope form equation for line AB? y−6=−2(x+2) y−2=−2(x+2) y−2=−2(x+6) y−2=2(x+2) A graph with a line running through point A, with coordinates (-2, 6), and point B, with coordinates (2, -2)

Answers

Answer:

y-6=-2(x+2)

Step-by-step explanation:

10 -9 x 5 + 6 x ( -2 ) evaluate

Answers

Answer:

-47

Step-by-step explanation:

10 -9 x 5 + 6 x ( -2 )

10-45+6 x -2

10-45-12

-35-12

-47

What is the slope of the line that contains these points?
x 8 11 14 17
y 36 12 -12 -36
slope:

Answers

Answer:

-8

Step-by-step explanation:

Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)

what is the slope of line segment 7 ?

——PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((———

Answers

Answer:

The slope is 0 because it is a straight line

Step-by-step explanation:

Answer:

undefined.

Step-by-step explanation:

You could be really formal and use the slope formula

The y values are both the same -- 4.

The x values are 3.5 and 6.5

Therefore  the slope is (6.5 - 3.5) / (4  -  4)

The denominator is 0

The slope is undefined because 3/0 is not very well behaved.

A horizontal line always gives an undefined amount.

5x + 260 = -8x + 650 I got 75 but it was wrong

Answers

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

choose the graph that represents the linear equation y = 2x + 1

Answers

Answer:

The third option is the answer.

Step-by-step explanation:

In the formula y = mx + b, using the equation given,

m = 2, which means that the line goes up 2 units and right 1 unit.b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.

Answer:

the 3rd option

Step-by-step explanation:

In the formula y = tx + b, using the equation given,

t = 2, which means that the line goes up 2 units and right 1 unit.

b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.

Plz someone help me out

Answers

Answer:

f

Step-by-step explanation:

iam not sure

best of luck

Answer:

F

Step-by-step explanation:

198/9=22 and the others are 25 24 and 23 I think but the point is they are not 22

A truck is carrying 102 bushels of sweet potatoes​, 101 bushels of tangerines​, and 103 bushels of spaghetti squash. What is the total weight of the​ crops?

Answers

Answer:

306

Step-by-step explanation:

Answer:

there are 305 bushels all together on the back of the truck

Step-by-step explanation:

I cannot give you the poundage of the bushels all together because you never said how much the bushels weighed

The entrance to a museum in Paris is shaped like a square pyramid the base of the pyramid has a side length of 35 meter and the height of the pyramid is 22 meters which measurement is closest to the volume of the pyramid in cubic meter

Answers

Answer:

Step-by-step explanation:

8,983

Answer:

just to comfirm the answer it is 8,983 m, I got it right on my test

Step-by-step explanation:

Three more than the product of a number and 2 equals 7.
for the unknown number

Answers

3 + 2n = 7

Hope this helps and have a nice day/night!!!

Answer: the unknown number is 2.

Step-by-step explanation: 2x+3=7

2x=7-3

2x=4

X=2

Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20

Answers

The answer to the question is D

Answer: C. 3(b-2)=24

Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24

Can someone show me how do I do this please?

Answers

Answer:

the awnser is c

Step-by-step explanation:

A- 100:1 would mean it is a 10000% markup

B- 1:100 lower than b so eliminate

C- 2:1 So a is double the amount of b so it's 100%

D- 1:2 B is 100% of a so it's flipped, not what question is asking for

So process of elimination shows that C is the correct awnser

Solve the following system of equations using the elimination method.

8x + 2y = 30. AND


7x + 2y = 24

A

(6,–9)


B)


(3,–12)


C)


(–6,–5)


D)


(–5,8)

Answers

Answer:

A ( 6 . -9 ) it's so easy . . .. ..

A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the profit p (in millions of dollars) last year. An equation is =1.38.

Answers

Answer: Required equation : 1.38 = p +2.54

Last year profit = $ -1.16 million or we can say loss =$ 1.15 million

Step-by-step explanation:

Given :  A company makes a profit of $1.38 million. This is $2.54 million more than last year.

Profit this year = 2.54 + Profit in last year

Let p = profit (in millions of dollars) last year.

Then, 1.38 = p +2.54   , is the required equation.

⇒ p = 1.38-2.54

⇒ p= -1.16, which is loss because of negative sign.

Hence, last year profit = $ -1.16 million or we can say loss =$ 1.15 million

Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)

Step-by-step explanation:

Profit for 2022 = $ 1.38 Million

Profit for 2021 = Profit for 2022 - $ 2.54 Million

Algebraic equation:

p2021 = p2022 -$ 2.54 Million

p2021 = $ 1.38 Million - $ 2.54 Million

p2021 = $ -1.16 Million

I'm lost at this point, if you can help me I'll give you 10 points..

Answers

Answer:

So all the possible solutions are:

[tex]\bold{204.4~and~217.6.}[/tex]

Solution Steps:

First you need to solve the real inequality to understand how to find the rest of the possible equations.

Subtract 13.2 from both sides:

[tex]13.2-13.2=[/tex] Cancels Out[tex]217.6-13.2=204.4[/tex]

So now we know the real answer, but now we must find all the possible solutions.

(Means anything greater than or equal to 217.6 when you plug it into x + 13.2 ≥ 217.6.)

Numbers that are greater than 378:

  1.)  [tex]204.4+13.2=217.6[/tex] ≥ [tex]217.6[/tex]  (True)

  2.)  [tex]217.6+13.2=230.8[/tex] ≥ [tex]217.6[/tex]  (True)

  3.)  [tex]204.3+13.2=217.5[/tex] ≥ [tex]217.6[/tex]  (False)

  4.)  [tex]0+13.2=13.2[/tex] ≥ [tex]217.6[/tex]  (False)

  5.)  [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex]  (False)

  6.)  [tex]200.4+13.2=213.6[/tex] ≥ [tex]217.6[/tex]  (False)

  7.)  [tex]-200+13.2=-186.8[/tex] ≥ [tex]217.6[/tex]  (False)

  8.)  [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex] (False)

Now put all the numbers together to form the code.

(Could either be the numbers on the side of the table or the accumulation of all the numbers in possible solutions.)

Code:

[tex]2044,2176[/tex] or [tex]1,2[/tex]

______________________________

 [tex]\bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

18. Question Category: Writing Linear Functions and Equations
Select the correct answer.
What is the equation for a line that passes through the points (5,-3) and (-10,15)?
6
y =
52 – 3
y =
6
2 + 3
5
6
--
Oy= -
- 3
Oy=-=+3

Answers

Answer:

15-(-3)/(-10)-5

12/-15

3/5

y = 3/5x + b

15 = 3/5(-10) + b

15 = -6 + b

15 + 6 = b

b = 19

y = 3/5x + 19

I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8

SHOW YOUR WORK PLZSSSSSSS

Answers

Answer is

D





Like the other person said

Please answer these series of questions! I will give high points and brainliest!

A. Reduce 3/51 to its simplest terms

B. Solve 7 divided by 3 (in fractions!)

C. 19 divided by 3 (fractions)

D. Reduce 50/80 to simplest terms

E. Reduce 9/14 to simplest terms

F. Reduce 36/54 to simplest terms

G. Solve 55 divided by 12 (fractions)

H. Reduce 9/153 to simplest terms

That’s all! ( please answer correct my life is depending on it, my mom will literally beat me up )

Answers

Answer:

A: 1/17 or decimal form: 0.058

B: 7/3 or mixed #: 2 1/3

C: 19/3 or mixed #:  6 1/3

D: 5/8

E: 9/14

F:2/3

G: 55/12 or mixed #: 4 7/12

H: 1/17

Step-by-step explanation:

Gabe bought five sacks of apples each sack weighed 12 lb he paid three for each pound of apples what was the total cost of all of the apples Gabe bought

Answers

Answer:

The cost of 12lbs of apples is $36.

Step-by-step explanation:

Lets Solve!

⟹ First we must define x and y.

 x is the lb's of apples and y is the cost.

⟹ Now lets form our equation.

[tex]3x = y[/tex]

[tex]x = 12[/tex]

⟹ Since gabe bought 12 pounds of apples x = 12.

⟹ Now substitute x for 12.

[tex]3x = y[/tex]

[tex]3(12)= y[/tex]

⟹ Now multiply.

[tex]36 = y[/tex]

The cost of 12lbs of apples is $36.

Here are 2 functions function x——>x3——>-2——->y

Answers

What are you trying to ask?

I might be able to answer the question correctly if you'd be more specific about the question.

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