Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise
rotation about the origin.

Answers

Answer 1

Answer:

(1,-4) (2,0) (3,-11)

Step-by-step explanation:

if you graph these you will see its the same images just turned up i would also know because im from k12 but anyways yea same image just turned counterclockwise ,next time search up "graph 90 counterclockwise" and itll show you step by step not of this exact problem but a similar type, it helps alot


Related Questions

The number line below is correctly represented by which of the following intervals?

Answers

The intervals that represent the number line is c) {[tex]x|-8\leq x < 3[/tex]}

Which intervals are included in the number line?

It is a means of expressing subsets of the real number line. The numbers between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all other integers between 0 and 5 is the set of values x satisfying [tex]0\leq x\leq 5[/tex].

Numbers from [tex]x=-8[/tex] (inclusive because the circle is closed) to [tex]x=3[/tex](exclusive because the circle is closed) make up the painted range.

Hence,{ [tex]x|-8\leq x < 3[/tex]}

Therefore, the intervals that represent the number line is

c){[tex]x|-8\leq x < 3[/tex]}

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TJ invested $4000 in a bond at a yearly rate of 2%. He earned $200 in interest. How long was the money invested

Answers

invested money for 2.5 yearsss

The mean height of American women in their late twenties is about 64.5 inches and the standard deviation is about 2.5 inches. The mean height of men the same age is about 68.5 inches, with a standard deviation of about 2.7 inches. If the correlation between the heights of married heterosexual men and their wives is about r=0.5, what is the equation of the regression line of the the husbands height on the wife’s height in young couples?

Answers

Answer:

For married couples in their early 20s, the regression equation and the prediction of a husband's height

                  Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

Given that

r=0.5x'=64.5Sx=2.5y'=68.5Sy=2.7

General regression line equation is:

Y'=a+b*X'

Therefore, the slope of the regression line is equal to the linear correlation coefficient times the difference between the standard deviations of y' and x'.

[tex]b = r\times\frac{S_y}{S_x}[/tex]

[tex]b = 0.5\times\frac{2.7}{2.5}[/tex]

b = 0.54

The mean of the lowered by the slope and mean of x is the intercept with axis y.

[tex]a = y'-b\times x'[/tex]

[tex]a = 68.5-0.54\times 64.5[/tex]

[tex]a = 33.67[/tex]

Now, putting the values of a and b in regression equation

So, we get

                  Y'=a+b*X'

Equation: Y'=33.67+0.54*X'

Answer:

For married couples in their early 20s, the regression equation and the prediction of a husband's height

                  Equation: Y'=33.67+0.54*X'

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50 POINTS HELP PLEASE
Graph the system of inequalities. Show at least two points for each inequality. (Lesson 1.08)

Answers

Answer:

54fhuuyfghhhrfbifgifd

ON A HIGHWAY GOING TO YOUR PROVINCE YOU, NOTICE THAT THERE IS A BILLBOARD LOCATED EVERY 1 1/2 KILOMETERS. THERE ARE 14 BILLBOARDS IN THAT HIGHWAY. HOW LONG IS HIGHWAY​

Answers

Answer:

The highway is 21 km long.

Step-by-step explanation:

[tex]\frac{1 billboard}{1.5 km} =\frac{14 billboard}{x}[/tex]

x = 21 km

I need solution to this question tutor

Answers

Answer:

x=3 and y=

Step-by-step explanation:

Answer:

x=5 and y any number

Step-by-step explanation:

-4 + 8 - 5
Please help.
I'm on a knowledge check on ALEKS and my teacher won't help.
Please I've been doing this for almost the whole period.

Answers

Answer:

-1

Step-by-step explanation:

read warriors

by eren hunter.

Algebra Question Help

Answers

Answer:

[tex]y=\dfrac{7}{3}\left(\dfrac{1}{3}\right)^x[/tex]

Step-by-step explanation:

Given table:

[tex]\begin{array}{|c|c|}\cline{1-2} \phantom{\dfrac{1}{1}} x & y \\\cline{1-2} \phantom{\dfrac{1}{1}} -1 & 7 \\\cline{1-2} \phantom{\dfrac{1}{1}} 0 & \frac{7}{3}\\\cline{1-2} \phantom{\dfrac{1}{1}} 1 & \frac{7}{9}\\\cline{1-2} \phantom{\dfrac{1}{1}} 2 & \frac{7}{27}\\\cline{1-2} \phantom{\dfrac{1}{1}} 3 & \frac{7}{81}\\\cline{1-2}\end{array}[/tex]

Linear function: As x increases by one, y always increases by a constant value.  Therefore, the first differences between y-values are the same.Quadratic function: The second differences between y-values are the same.Exponential function: The y-value either increases or decreases by a constant factor.

Work out the first differences between the y-values:

[tex]7 \underset{-\frac{14}{3}}{\longrightarrow} \dfrac{7}{3} \underset{-\frac{14}{9}}{\longrightarrow} \dfrac{7}{9} \underset{-\frac{14}{27}}{\longrightarrow} \dfrac{7}{27} \underset{-\frac{14}{81}}{\longrightarrow} \dfrac{7}{81}[/tex]

As the first differences are not the same, it is not a linear function.

Work out the second differences:

[tex]-\dfrac{14}{3} \underset{+\frac{28}{9}}{\longrightarrow} -\dfrac{14}{9} \underset{+\frac{28}{27}}{\longrightarrow} -\dfrac{14}{27} \underset{+\frac{28}{81}}{\longrightarrow} -\dfrac{14}{81}[/tex]

As the second differences are not the same, it is not a quadratic function.

Work out if the second differences have a common ratio:

[tex]\implies \sf \dfrac{28}{27} \div \dfrac{28}{9}=\dfrac{1}{3}[/tex]

[tex]\implies \sf \dfrac{28}{81} \div \dfrac{28}{27}=\dfrac{1}{3}[/tex]

As the second differences have a common ratio of ¹/₃, the function is exponential with base ¹/₃.

General form of an exponential function:

[tex]y=a(b)^x[/tex]

where:

a is the y-intercept.b is the base (growth/decay factor) in decimal form.

The y-intercept is the value of y when x = 0.

From inspection of the table, the y-intercept is ⁷/₃.

Therefore:

  [tex]a = \dfrac{7}{3}[/tex]

  [tex]b = \dfrac{1}{3}[/tex]

Substitute the found values of a and b into the formula to create an exponential function that models the given data:

[tex]\implies y=\dfrac{7}{3}\left(\dfrac{1}{3}\right)^x[/tex]

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What is the quotient for 81/-9, -123 divided by -4, -94/-9, and 65 divided by (-5)

Answers

The final answer is -9, -30.75, -13

What is Quotient?

The number resulting from the division of one number by another.

In the given statement is:

What is the quotient for 81/-9

If we divide 81 by -9

The Quotient will be -9

And, come to the next :

-123 divide by -4

The quotient will be -30.75

And, 65 divided by (-5)

The Quotient will be -13

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Translate the English phrase into an algebraic expression: the quotient of the sum of a and b and the product of a and b.

Answers

The algebraic expression from the given statement is (a+b)/ab.

Given the statement is the quotient of the sum of a and b and the product of a and b.

In mathematics, an expression is defined as a set of numbers, variables, and operations that are formed according to context-dependent rules.

In the given statement the sum of a and b means a+b.

And the product of a and b means ab.

Now, as it is given in the statement that the quotient of the sum of a and b and the product of a and b can be written as

(a+b)/ab.

Hence, the algebraic expression from the given statement "the quotient of the sum of a and b and the product of a and b" is (a+b)/ab.

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What is 27x45 and can you explain it

Answers

Answer:

1215

Step-by-step explanation:

You have to multiply the smallest number with the largest number; then add the zero along with the numbers being multiplied; then add each number until you get the right answer

A person who wants to get in shape goes to a local gym that advertises 62 training sessions for $1109. Find the cost of 94 training sessions.

Answers

The cost of 94 training sessions is $1681.3.

A unit means one thing. A unit rate means the rate of something. Write this as a ratio with a denominator of 1.

For example, if you ran 70 meters in 10 seconds, you ran an average of 7 meters in 1 second. A ratio of  70 yards in 10 seconds and 7 yards in 1 second are both rates, but  7 yards in 1 second is a unit rate.

The unitary method is a method of finding the value of one unit and then finding the value of the required number of units.

Suppose you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value.

62 training sessions for $1109

1 session = 1109/62

94 sessions = (1109/62) * 94

= $1681 .3

The cost of 94 training sessions is $1681.3.

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Approximate square root 80 by using perfect squares. 80 is between which two perfect squares? What are the square roots of those two perfect squares? What is the approximate value of square root 80?

Answers

By finding square numbers, we will get:

8 < √80 < 9

And we can assume that √80 is closer to 9 than to 8, so a good estimation can be 8.95

How to approximate the square root of 80?

We want to approximate √80, now we need to find two consecutive square numbers such that one is smaller and the other is larger than 80.

We know that:

9*9 = 81

8*8 = 64

Then:

√81 = 9

√64 = 8

So we can see that:

√64 < √80 < √81

Then:

8 < √80 < 9

And we can assume that √80 is closer to 9 than to 8, so a good estimation can be 8.95

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the digit 8 in which number represents 0.08

Answers

Answer:

c

Step-by-step explanation:

2 spaces after the decimal

Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.

A. four ninths raised to the fourteenth power
B. four ninths raised to the twenty fourth power
C. two thirds raised to the fourteenth power
D. two thirds raised to the twenty fourth power

Answers

Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

Dylan wants to buy a book for 16.95 and a magazine for 4.50

Answers

Dylan needs $ 21.45 for the purchase of both books and the magazine.

Addition refers to the basic operation of mathematics where we find the sum of two or moe numbers.

We are given that:

Dylan wants to buy two things:

1. she wants to buy a book for $ 16.95

2. she wants to buy a magazine for $ 4.50

So, the total money that she needs will be calculated by adding the prices of both the products.

So, by using addition, we get the total money required by Dylan as:

Total money = $ 16.95 + $ 4.50

Total money = $ 21.45

Therefore, we get that, Dylan needs $ 21.45 for the purchase of both books and the magazine.

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Find the following values for the function

Answers

Answer:

a. -5; b. 4; c. -2.

Step-by-step explanation:

a) f(-3)=3*(-3)+4=-5;

b) f(3)=2*3-2=4;

c) f(0)=2*0-2=-2.

Mr. Richmond wants to purchase notebooks for his students. Each notebook costs $1.60. Mr. Richmond has
$60. What is the most amount of notebooks Mr. Richmond can purchase?

Answers

Answer: 37 Notebooks

Step-by-step explanation:

Set up and inequality equation where x is the unknown amount of notebooks Mr. Richmond can purchase.

1.60x less than or equal to $60.

Inverse Operations 60/1.60 = 37.5

But, round down, since you can't buy half a notebook so;

Mr. Richmond can purchase 37 notebooks.

Find the students mistake then find the correct x-intercepts for the graph of the function.

Answers

The value of the given equation the value of x : (3 , -10)

What is a quadratic equation in mathematics?

Definitions: A quadratic equation is a second-order polynomial equation in some kind of a single variable x ax2+bx+c=0. Because it is a second-order polynomial problem, the fundamental theorem of fundamental algebra guarantees therefore it has at least one solution.

Briefing:

the student haven't solved the equation properly he has not expanded the equation:

According to the given data:

The given equation is f(x) = (x - 3)² - 10

(x - 3)² - 10 = 0

this could be expand and write as:

x² + 9 -6x - 10 = 0

x² -6x -1 = 0

The vertex of an up-down facing parabola of the form y=ax^2+bx+c is Xv.

The parabola params are:

a=1, b=-6, c=-1

[tex]\:x_v=-\frac{b}{2a}[/tex]

[tex]x_v=-\frac{(-6)}{2 \cdot 1}[/tex]

Xv = 3

Putting x = 3 to get the value of y

we get:

y = -10

(3 , -10)

The value of the given equation the value of x : (3 , -10)

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The sum of 8 and three times a number is 41

Answers

Answer:

x=11

Step-by-step explanation:

let number =x

(8+3x)=41

group like terms

3x=41-8

3x=33

divide both side by the coefficient of x

3x/3=33/3

x=11

Need help with number 6

Answers

Applying the definition of bisection, PR = RQ = 28.5 cm.

What is the Definition of Bisection?

When a line segment bisects another line segment, it divides the line into two equal segments. This means the two resultant line segments formed have the same length.

The image below shows the bisection of segment PQ by segment ST at point R, which forms two equal segments, PR and RQ.

This means that the length of segments PR and RQ will be equal to each other.

Given that, PQ = 57 centimeters, therefore:

PR = RQ = 1/2(PQ)

PR = RQ = 1/2(57)

PR = RQ = 28.5 cm

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2x+y+2z=2
2x-7y-8z=-2
-2x+4y+3z=8

Answers

Answer:

0

Step-by-step explanation:

forgotten sorry

how do i solve this?

Answers

Change the denominators to common denominators that they both go into and do the same thing to the top find first number they both go into 5 and 9 would be 45 so u times 4 by 5 and 3 by 9 so it would be evenly 27/45 plus 20/45




Sixty-five students voted for Jessica. Two times
many students voted for Sierra. How many
students voted

Answers

students voted= 195

Solution :

a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

Jessica = 65 student

Sierra =  2 (Sixty-five students voted for Jessica.) = 2(65) = 130

Total number of students = NO of students voted for Jessica +NO of students voted for  Sierra

= 65+130

= 195

students voted= 195

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If p percent of q is r what percent of r is q

Answers

Answer:

10000/p.

Step-by-step explanation:

r = pq/100

pq = 100r

q = 100r/p

As a percentage of r:

we have P = q * 100/r

P = 100r/p * 100/r

   = 10,000r / rp

   = 10000/p

Find the area of the figure.

Answers

Answer:

10 x 12 x 9 cm^2

= 1080 cm^2

Answer:

105

Step-by-step explanation:

a = 1/2(bh) + 1/2(bh)

a = 1/2(12)(10) + 1/2 (9)(10)

a= 1/2 (120) + 1/2(90)

a = 60 + 45

a = 105

Find the value of x. Then find the missing angle measures of the polygon.

x = ?
5x degrees = ?
2x degrees = ?

Answers

Answer:

x = 22.5

2x = 45

5x = 112.5

Step-by-step explanation:

The sum of all internal angles in a triangle is 180 degrees. This can be expressed as the following:

x + 5x + 2x = 180

Combine the like terms:

8x = 180

Divide both sides by 8 to find the value of x:

x = 180/8

Simplify:

x = 22.5

Multiply by 2 to get 2x:

2x = 22.5 * 2

2x = 45

Multiply by 5 to get 5x:

5x  = 22.5 * 5

5x = 112.5

Verify the answer is correct by taking all the obtained values and ensuring they sum to 180:

22.5 + 45 + 112.5 = 180

The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.


Does the graph distort the data? Why? Or Why not?

A. Yes, because 3D objects always distort the data in graphs.

B. Yes, because the graph incorrectly uses objects of volume to represent the data.

C. No, because the graph is technically correct.

D. No, because the proportions are accurate.

Answers

The correct option regarding whether the graph distorts the data is:

B. Yes, because the graph incorrectly uses objects of volume to represent the data.

What is the correct graph for the amounts in the problem?

When we are showing absolute amounts of two or more data-sets, the correct representation should be of graphs like histograms or bar graphs.

For this problem, the objective is to show the daily oil consumption in two countries, and they are shown as the volumes of a cylinder, which gives the idea that the amount in country A is considerable more than 4 times country B, that is, distorting the data.

Conversely, a bar graph or a histogram would show the right ratio between these two amounts.

Hence the correct option is:

B. Yes, because the graph incorrectly uses objects of volume to represent the data.

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Bill’s spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.

Let m represent the number of months since school began and w represent the total number of spelling words.

This relationship can also be shown in a table. Complete the equation that represents between m and w.

Answers

Based on the fact that m represents the number of months and w is the total number of spelling words, the equation that represents the relationship between m and w is w = 8m + 3

How to find the equation?

The first thing to find is the slope of the relationship. This can be found as:

= ( 51 - 43) / (6 - 5)

= 8 / 1

= 8

The y-intercept is:

w = 8m + c

43 = 8(5) + c

c = 43 - 40

c = 3

The equation to represent the relationship between m and w is:

w = 8m + 3

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What is the quotient of (−56) ÷ (−4) ÷ 7?What is the quotient of (−56) ÷ (−4) ÷ 7?

Answers

Answer:

98

Step-by-step explanation:

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