If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
Please help me, its for a Program through a college and I need a lot of help.
Answers
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter
Hope this helped!
Related Questions
A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.
Answers
11/1 * 8/9
88/9
A store is having a sale where movies are 15% off their original price. A movie originally cost $25. how much money will be saved by purchasing the movie on sale?
Answers
15% of $25 =
= 15% * $25
= 0.15 * $25
= $3.75
The amount saved is $3.75.
Which functions have graphs that are steeper than the graph of f(x)=−3x^2?
Select each correct answer.
h(x)=−2x^2
g(x)=−4x^2
k(x)=3x^2
m(x)=4x^2
j(x)=2x^2
Need help asap please
I think it is k(x)=3x^2 and j(x)=2x^2 Can anyone tell me if i am correct.
Answers
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
If the parent function f(x) = x is stretched vertically by a scale factor 'k', image function will be,
g(x) = kf(x)
It's inverted form will be,
h(x) = -kx
Functions given in options (2) and (4) will be more steeper than function 'f'.
Given function is f(x) = -3x²
Functions having scale factor 'k' more than 3 will be more stretched vertically.
Hence, functions having k > 3 will be more steeper.
From the given options, g(x) = -4x², m(x) = 4x² have coefficient 'k' greater than 3.
Therefore, functions 'g' and 'm' will be more steeper than function 'f'.
Options (2) and (4) are the correct options.
Learn more,
https://brainly.com/question/13815011
Defined by distinct lines in the same place which never intersect each other and have the same slope
Answers
6q + 9 ≤ 9 and 6q + 9 ≥ −9
Answers
6q + 9 ≤ 9
Start by subtracting 9 from both sides
6q + 9 - 9 ≤ 9 - 9
6q ≤ 0
Then divide both sides by 6
6q/6 ≤ 0/6
q ≤ 0
--------------
The second equation
6q + 9 ≥ -9
Start by subtracting 9 from both sides
6q + 9 - 9 ≥ -9 - 9
6q ≥ -18
Divide both sides by 6
6q/6 ≥ -18/6
q ≥ -3
Good luck with your studies!
-9 ≤ 6q + 9 ≤ 9
You can further simplify this be using the absolute value.
If you use the absolute value, you will get
| 6q + 9 | ≤ 9
If you're trying to solve for q, use
-9 ≤ 6q + 9 ≤ 9
Subtract all parts by 9
- 18 ≤ 6q ≤ 0
Divide all parts by 6
- 3 ≤ q ≤ 0
Have an awesome day! :)
find the value of x
Answers
Which set of rational numbers is correctly ordered from least to greatest circle your answer.Use a number line to help find your answer.
A.-0.48,-0.47,-0.46,0.45
B.-0.48,-0.46,-0.47,0.45
C.-0.45,-0.46,0.47,-0.48
Answers
Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 20% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?
Answers
20% of 11 = 2.2
Approximately, since you can't have 20% of a candy damaged (I mean, technically you can, but not in this question, I don't think), your answer is 2.
An adult African elephant can weigh up to 7 tons. At birth an African elephant weighs about 200 pounds. How many more pounds does an adult African elephant weigh than a newborn?
Answers
1 tonne = 2,000lbs
7 tonnes * 2,000lbs = 14,000lbs
14,000lbs - 200lbs = 13,800
So your answer would be an adult African Elephant is about 13,800lbs more than a new born elephant.
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 feet per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?
Answers
State 1:
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes.
1 minute = 60 seconds
3 minutes = 180 seconds
If it's rate of is 6 feet per second
Last of 3 minutes, it will ascend (180 seconds x 6 feet) 1080 feet.seconds. That is we can write +1080 feet.seconds
State 2:
Then it descends at a rate of 3 feet per second for 2 minutes.
2 minutes = 120 seconds
If it's rate of is 3 feet per second
Last of 3 minutes, it will descent (120 seconds x 3 feet) 360 feet.seconds that is we can write -360 feet.seconds
State 3:
It ascends at a rate of 4 feet per second for 5 minutes.
5 minutes = 300 seconds
If it's rate of is 4 feet per second
Last of 5 minutes, it will ascent (300 seconds x 4 feet) 1200 feet.seconds that is we can write +1200 feet.seconds
Last State:
+1080 feet.seconds ascent (1)
-360 feet.seconds descent (2)
+1200 feet.seconds ascent (3)
Conclusion:
(+1080 feet.seconds) + (-360 feet.seconds) + (+1200 feet.seconds) = +1920 feet.seconds
Answer: +1920 feet.seconds
Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?
Answers
Answer:
Sam will catch up his brother in 2.5 minutes
Step-by-step explanation:
Two equations can be written to represent the problem.
Sam: y1 = 105*t
Leo: y2 = 100 + 65*t
where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.
When Sam catch up Leo, the distance travelled by both equals:
y1 = y2
105*t = 100 + 65*t
105*t - 65*t = 100
40*t = 100
t = 100/40
t = 2.5 minutes
the sum of 15 and x is greater than or equal to 12 minus y
Answers
But also your answer would be 12 minus y because the y axis is greater than th 15 on the x axis so I hope that I really helped you okay
2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours
Answers
second auto: 55 x 5 = 275
275-200=75
75 miles further along the route than the first automobile.
I think that's wut ur asking
Evaluate the expression 1/4 ÷ 2/5 – 1/2
Answers
1/4*5/2-1/2
5/8-4/8
=1/8 I think is the right answer.
5/8 - 1/2 = 5/8 - 4/8 = 1/8 answer
Function f is an exponential function.
x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?
Answers
Answer:
The output value increased by factor 2.
Step-by-step explanation:
The general form of the exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.
[tex]a=3[/tex]
The another value of f(x) is 12 at x=2.
[tex]f(3)=ab^2[/tex]
[tex]12=(3)b^2[/tex]
[tex]4=b^2[/tex]
[tex]b=2[/tex]
The required function is
[tex]f(x)=3(2)^x[/tex]
Since the growth factor is 2, therefore the output value increased by factor 2.
If ∠ABD = 56, find ∠DBC.
a) 124
b) 56
c) 44
d) 34
Answers
The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.
Explanation:The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.
Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.
Learn more about Supplementary Angles here:https://brainly.com/question/18164299
#SPJ3
A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment?
Answers
Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)
Answers
The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Answer quick
Answers
4 1/2/2 = 2.25 (2 1/4)
4 1/2 • 2 1/4 = 10.125 or 10 1/8
So, the area of the rectangle is 10 1/8 ft sq.
I really hope you found this helpful!
Which graph represents the solution for the equation 1/6x=-2x+5
Answers
Answer:
B
Step-by-step explanation:
Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!
Answers
Answer:
Sorry I don't really know how to explain it but he would have $21 left
Step-by-step explanation:
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
Answers
So, 3/8 will equal out to 0.375. 1/4 is 0.25. 0.375 is greater than 0.25.
I/You ate more of a pie than my/your sister.
A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers
Answers
Answer:
first number = 78
second number = 72
third number = 156
Step-by-step explanation:
first number = a
second number = b
third number = c
we have
b=a-6 equation 1
c=2a equation 2
a+b+c=306 equation 3
using equation 1 and equation 2 in equation 3 we have
a+a-6+2a=306
4a=306+6
4a=312
a=312/4
a=78= first number
b=78-6=72=second number
c=2*(78)=156 third number
First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz
Answers
The surface area of the cube is approximately 396, and the next whole number after that is 397.
17/7 as a repeating decimal is approximately 2.428571.
To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.
In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.
To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.
To square the fraction, you need to square the numerator and the denominator separately.
(65/8)^2 = (65^2)/(8^2) = 4225/64
Now, multiply this result by 6:
(4225/64) * 6 = 25350/64
To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.
25350/64 ≈ 396.09375
Rounding this to the nearest whole number, you get 396.
The next whole number after 396 is 397.
Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.
Now, let's move on to the next question:
To write the fraction 17/7 as a repeating decimal, you need to perform long division.
Divide 17 by 7:
2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10
The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.
How much more money does she need
Answers
5 pounds of bananas cost 0.80*5 = 4 dollars
5 pounds of apples cost 1.40 *5 = 7 dollars
4+7 = 11 dollars
11 dollars is greater than 10 so she does not have enough and needs 1 more dollar
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Because it is asking for 5 pounds of both bananas and apples, we will multiple the amount per pound for each by 5...
Bananas: $1.40 * 5 = $7
Apples: $0.80 * 5 = $4
The Total is: $11
Now we ask: Is $10 greater than or equal to $11?
Answer: No
So...
The answer is: Janice's mother did not give Janice enough money, and need $1 more to make the full purchase...
2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!
Answers
2i + 3 + 4i
Once you do that, add the 2i and 4i and you have your final answer.
6i + 3
So, do -4 times itself and you get 16.
Lastly, you would add the 2i, the 3, and the 16...
So the answer to this problem would be...
2i+3+16=2i+19 <==
What is the greatest common factor of 15 and 20
Answers
Answer: 5
Step-by-step explanation: To find the GCF or greatest common factor of 15 and 20, we first list the factors of 15 which are 1, 3, 5, and 15.
Next, we list the the factors of 20 which are 1, 2, 4, 5, 10, and 20.
Finally, we compare the lists to find the largest shared factor which is 5.
So the greatest common factor of 15 and 20 is 5.
Image provided.
Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?
Answers
6.4 servings of 1/8 will be in the cup
Hope it helps.
How can I write number 8 in the tens place
Answers
What is 2/7 as a percent
Answers
Work
2÷7 = 0.285714 =0.285714×100 = 28.5714%