What happens to the x and y coordinates in a 90-degree counterclockwise rotation?
Answers
Answer: hope this helps i didnt see any A, B, C, D etc options to choose from
each point of the given figure has to be changed from (x, y) to (-y, x)
Step-by-step explanation:
When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
Example 1 :
Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. If this triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is
(x, y) -------> (-y, x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x , y) -----> (-y , x)
F(-4 , -2) -------> F'(2, -4)
G(-2, -2) -------> G'(2, -2)
H (-3, 1) -------> H'(-1, -3)
Step 4 :
Vertices of the rotated figure are
F'(2, -4), G'(2, -2) and H'(-1, -3)
Related Questions
Ulysses wants to find the area of the trapezoid shown. Complete the table to show how Ulysses could divide a trapezoid into simpler figures to find its area.
Answers
The answer is attached below
12 divided by 478 using compatible numbers and to find two estimates
Answers
Answer:
we get 48 if we divide both:)
Joshua finds the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut around its outer edge. Determine what is wrong with his calculations and how to find the correct length.
Answers
The perimeter of a shape is the sum of its side lengths.
Joshua miscalculated the third length of the triangle
First, we calculate the third length (x) of the triangle.
Because the triangle is right-angled, we can make use of Pythagoras.
So we have:
[tex]x^2 = 7^2 + 7^2[/tex]
[tex]x^2 = 2(7^2)[/tex]
Take square roots of both sides
[tex]x = \sqrt{2(7^2)[/tex]
[tex]x = 7\sqrt{2[/tex]
The other shape in the figure is a square.
So, the perimeter (P) is
[tex]P = 7 + x + x + x + 7[/tex] ---- i.e. the sum of the visible lengths
So, we have:
[tex]P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7[/tex]
Evaluate like terms:
[tex]P = 14 + 21\sqrt2[/tex]
Hence, Joshua's error is that:
He miscalculated the third length of the triangle
Read more about perimeters at:
https://brainly.com/question/6465134
(c)
The table shows the opening times of the wildlife park.
Opening times
Days
Monday to Friday
Saturday and Sunday
0930 to 1715
1000 to 18 30
(i) Work out how long, in hours and minutes, the wildlife park is open on a Wednesday.
h
(ii) Calculate the total time, in hours and minutes, that the wildlife park is open in one ye
Answers
Based on the information given in the table, the opening hours on Wednesday and throughout the year is 7 hours , 45 minutes and 845 hours respectively.
Opening times ::
Monday to Friday : 09:30 - 17:15 Saturday and Sunday : 10:00 - 18:30Opening duration on Wednesdays :
Closing time - Opening time on weekdays :
17:15 - 09:30 = 7 hours, 45 minutes
Opening duration in a while year :
Opening duration on weekdays per week = 7 hours 45 minutes
Opening duration on weekends per week = 8 hours 30 minutes
Total opening duration per Week :
(weekday + weekend)(7 hours 45 minutes + 8 hours 30 minutes) = 16 hours 15 minutes
Number of weeks per year = 52
Total opening time per year :
(16 hours 15 Minutes) × 52 = 845 hoursTherefore, the park opens for a total of 845 hours per year.
Learn more : https://brainly.com/question/18405415
What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?
Answers
I will assume you meant y = 2x + 13
Answer: y = 2x - 20
Giving brainliest, 50 points (answer both questions with solutions)
Answers
Answer:
See belowStep-by-step explanation:
#6[tex](3x^3)^2*(2x)^3=3^2x^{3*2}*2^3x^3=9*8*x^6x^3=72x^{6+3}=72x^9[/tex]#7[tex](x^4y^{-7}/x^{-2}y^4)^2=(x^{4+2}y^{-7-4})^2=(x^6y^{-11})^2=x^{12}y^{-22}=x^{12}/y^{22}[/tex]write the log equation as an exponential equation. you do not need to solve for x.
Answers
Answer:
5^(1/6)=2x
Step-by-step explanation:
What the log equation is saying in words is this: 5 to what powe (which would be the 1/6) wll equal 2x. And you just write 5 to the 1/6 power, which is equal to 2x
8. Bir doğru parçasının yuvarlak uzunluğu 7 cm dir. a) Doğru parçasının en küçük uzunluğu kaç cm olabilir? b) Doğru parçasının en büyük uzunlugu kaç cm olabilir?Aciillll
Answers
Answer:
yfyffyfyfyg
Step-by-step explanation:
xgsxfuftuxfyfjfyfyfyffyfyfygyfdtdtdhfgjhtuydxfyyxff
1.24 • 10 - 6 scientific notation
Answers
Answer: 0.00000124
Step-by-step explanation:
Answer:
the awnser is - 5.876
Step-by-step explanation:
i just did the test
Evaluate |bcl. given a = 5, b= -3, and c= -2.
O -6
O -5
O 5
O 6
Answers
Answer:
6
Step-by-step explanation:
(-3)(-2) is 6 because if you multiply two negatives it equals a positive, and the absolute value of 6 is 6.
Answer:
6
Step-by-step explanation:
abs(bc)=abs(-3*-2)=abs(6)=6
One number is 7 more than another. If the sum of the two numbers is 165, find the two numbers.
The smaller number is
The larger number is 1
Answers
x+7+x=165
2x+7=165
2x+7-7=165-7
2x=158
2x÷2=158÷2
x=79
79+7+79=165
What is the scale factor? Polygon FGHIJ is a dilation of polygon ABCDE.
Thanks
Answers
Answer:
1/2 scale factor.
Step-by-step explanation:
The polygon was dialated with a scale factor of 1/2
Hope this helps!
Cameron White traveled 325 miles in 6 1/4
hours. What was his average speed per
hour?
Answers
Answer:
51.68 miles per hr
Step-by-step explanation:
To find the average rate, divide the total miles traveled by the total amount of time.
325 miles / 6 1/4 hours = 51.68 miles per hr
Please help!!!! I do not understand how to do this!! I’ll mark as Brainiest!!!!!!!!
Answers
Answer:
a c and e
Step-by-step explanation:
What is the length of the side of the triangle below?
200 cm
x cm
x cm
Answers
Step-by-step explanation:
options are wrong
this is wrong options
tge answer is underoot 200
What is the value of the 3 in this number?
is the value of this number.
Answers
Answer:
3?
Step-by-step explanation:
4. Identify the graph of the solution set of 9 > 3 + 2x.
Answers
Answer:
A
Step-by-step explanation:
9 > 3 + 2x
6 > 2x
3 > x
or
x < 3
and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.
The graph of the solution set [tex]9 > 3 + 2x[/tex] is represented by the inequality relation x < 3.
The correct answer is Option A.
Given data:
The inequality is represented as 9 > 3 + 2x
The solution set of the inequality 9 > 3 + 2x can be found by isolating x on one side of the inequality:
Subtract 3 from both sides: 9 - 3 > 2x
Simplify: 6 > 2x
Divide both sides by 2: 3 > x
So, the solution set is x < 3.
Graphically, this represents all the values of x that are to the left of (less than) 3 on the number line. It forms an open interval to the left of 3. The graph consists of all real numbers less than 3, not including 3 itself. In interval notation, this can be written as (-∞, 3).
Hence, the inequality is x < 3.
To learn more about inequality equations, refer:
https://brainly.com/question/11897796
#SPJ3
What do you do in your free time? :D
Answers
Answer:
sleep most definitely worth it
Answer:
heyyy
Step-by-step explanation:
I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL
wht is the pie equation
Answers
Answer: π = c/d
Step-by-step explanation: srry if its wrong im not well at math
The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences.
Determine the number of tables by dividing [blank, it could be 754 or 6 ] by [754 or 6] If there is a remainder, the answer will need to be rounded [up or down] There [is or is not] a remainder, so [125, 126, or 130] tables are needed.
I'm sorry if it doesn't make sense. when there are the parenthesis those are the answer options btw! PLEASE ANSWER NO LINKS PLEASE
Answers
Answer:
Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.
Step-by-step explanation:
Please help. I struggle with geometry
Find the measures of angle 1 and angle 2. State the theorem or postulate that justifies your answer,
Answers
Answer:
Angle 2 = 55
Angle 1 = 125
Step-by-step explanation:
Considering the line vertical lines are parallel:
Angle 2 and angle with measure of 125 are supplementary and their sum is = 180
So m<2 = 180 - 125 = 55
For angle 1:
Again since the vertical lines are parallel:
Angle 1 and angle with given measure 125 are alternate and has same measurement.
Answer:
Angle 2= 55 degrees
angle 1= 125 degrees
Step-by-step explanation:
Angle 2 uses SA, 180-125=55
angle 1 is parallel to the 125 degree line
plz help with 10-11 if you don’t mind
Answers
Properties used:
All angles of a triangle add up to 180 degrees
180 is a straight line; so both sides of a straight line add up to 180
10) 180 - 153 = 27
180-27-133 = ?
? = 20 degrees
11) 180-87=93
180-93-23=?
? = 64 degrees
Answer:
11.) Angle FED = 20 Degrees | 12.) Angle FHG=74
Step-by-step explanation:
11.) Angle FED= 20 degrees
one side of a straight line = 180 degrees
all the angles of the insides of a triangle added together = 180 degrees
If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.
12.) Angle FHG=74
For this problem, we use the same formulas as before. So let's solve!
180-87=93. So angle GFH=83 degrees.
Now we need to add the angles together:
83+23+?=180. 83+23=106
180-106=74.
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If you like this answer, please click 5 stars and give me brainliest!! Tysm!! (I'm trying to level up)
PLZZZ HELP URGENTLY ASAP ON THESE I NEED THIS NOW
Answers
Answer:
coordinates:
1.) (-2,-7)(-1,-6)(0,-5)(1,-4)(2,-3)
2.)(-6,-11)(-4,-8)(0,-2)(4,4)(6,7)
Step-by-step explanation:
I can't help with the graphingalways, sometimes, or never true?
Answers
Answer:
Sometimes true, because x could be anything
Step-by-step explanation:
Their pet fish knew it wasn't right. He knew the Cat shouldn't do those things. The pet fish just knew there would be trouble. There was fish food all over the floor. They would have to buy more! Fish food costs $0.46. If Conrad gave the clerk $1, how much change would he get?
Answers
Answer:
0.54
Step-by-step explanation:
1-0.46 is 0.54
Yes.
help me with this:((((
Answers
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)
Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.
Someone Smart Help With Math!
Answers
Answer:
-48. You multiply the figures
Answer:
B. -48
Explanation:
Simply -16 multiplied by 3. When one negative number is multiplied, the product is a negative. When two negative numbers are multiplied together, the product is positive.
How would the domain and range of the function
Y = (1/4)x - 6
be determined? Explain.
Answers
Answer:
Domain and range both [tex](-\infty, \infty)[/tex]
Step-by-step explanation:
The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.
The inverse of the function can be found as such:
[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].
Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.
So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]
What is 19% of 41?
(Simplify, no links)
Answers
Answer:
7.79
Step-by-step explanation:
19 percent of 41 is the same as 19 per hundred of 41. We can therefore make the following equation:
19/100 = X/41
To solve the equation above for X, you first switch the sides to get the X on the left side, then multiply each side by 41, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
19/100 = X/41
X/41 = 19/100
X*41/41 = 19*41/100
X = 779/100
X = 7.79
The work above shows the long way to explain how to calculate 19 percent of 41 in order to give you a foundation and better understanding of how to calculate the percentage. In the future, you could use this simplified formula:
(Y * P)/100
In our problem "What is 19 percent of 41?", Y is 41 and P is 19:
(41 * 19)/100 = 7.79
And once again you see that the answer is 7.79.
How do you determine the domain of a function ?
Answers
Answer:
Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that
chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function
must be a real number, the following conditions are commonly checked:
1. Denominators cannot equal 0.
2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)
cannot have a negative value.
3. Logarithms can only be taken of positive values.
4. In word problems physical or other real-life restrictions might be imposed, e.g. time is
nonnegative, number of items is a nonnegative integer, etc.
Answer:
the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers
i hope this helps