What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?
Answers
Answer:
[tex]R' = (-1,-0.5)[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment:
[tex]P = (-3,-3)[/tex]
[tex]R = (1,2)[/tex]
Dilation:
[tex]D_{(0.5,P)}[/tex]
Required
Determine R'
First, subtract the coordinates of P from R. This means that R is measured from P.
[tex]R = (1-(-3),2-(-3))[/tex]
[tex]R = (1+3,2+3)[/tex]
[tex]R = (4,5)[/tex]
Next, apply dilation factor 0.5
[tex]R' = R * 0.5[/tex]
[tex]R' = (4,5) * 0.5[/tex]
[tex]R' = (4* 0.5,5* 0.5)[/tex]
[tex]R' = (2,2.5)[/tex]
Lastly, measure R' from the origin by adding the coordinates of P to R'
[tex]R' = (2+(-3),2.5+(-3))[/tex]
[tex]R' = (2-3,2.5-3)[/tex]
[tex]R' = (-1,-0.5)[/tex]
Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.
The coordinate of the R' after the dilation is (-1,-0.5)
What is dilation?Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.
Given information-
The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).
The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,
[tex]Q'=Q-P\\Q'=(-3-(-3), 2-(-3))\\Q'=(0,5)[/tex]
Similarly,
[tex]R'=R-P= (1-(-3),2-(-3))=(4,5)\\P'=P-P=(-3-(-3), 3-(-3)=(0,0)\\S'=S-P=(1-(-3),-3-(-3))=(4,0)\\[/tex]
As the dilation factor is 0.5. Thus, the point of Q is,
[tex]Q"=(0.5)\times(0,5)=(0,2.5)[/tex]
Similarly,
[tex]R"=(0.5)\times(4,5)=(2,2.5)\\P"=(0.5)\times(0,0)=(0,0)\\S"=(0.5)\times(4,0)=(2,0)\\[/tex]
Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,
[tex]Q'''=(0,+(-3), 2.5+(-3))\\Q'''=(-3,-0.5)[/tex]
Similarly,
[tex]R'''=(2+(-3),2.5+(-3))=(-1,-0.5)\\P'''=(0+(-3),0+(-3))=(-3,-3)\\S'''=(2+(-3),0+(-3))=(-1,-3)\\[/tex]
Thus the coordinate of the R' after the dilation is (-1,-0.5)
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Answer:
may be this helpful!
0.4 as a whole number would 1
What is an whole no?The number 4 cannot be rounded down to 0 because 0 is not bigger or the same as 0. 4
Instead, the number 0. 4 would be rounded up to 1, which is the closest whole number.
A whole number is a positive number that doesn't have any parts with decimals or fractions. Whole numbers are numbers that start from 0 and go up without any fractions or negative numbers. In simpler terms, whole numbers include the numbers 0, 1, 2, 3, 4, 5, and so on. They only have positive numbers and whole numbers.
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There are 4 veggie pizzas for every 5 cheese pizzas. How many cheese pizzas are there if 108 pizzas total are ordered? please show work
Answers
Answer:
6.25
Step-by-step explanation:
Answer:
60 because [total of pizzas]/(veggie + cheese)= 12 ((108/(4+5) = 12)) so you take 5 (the amount of cheese pizzas) and multiply it by 12 to get 60
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Answers
Answer:1 : 22.5
2 : 20 games
3 : 575
4 : Grant can purchase 7 base ball cards packs in $21
Step-by-step explanation: OK first divide 90 by 4 to see how many words per minute
1# 90 ÷ 4 = 22.5
OK, then multiply 22.5 by 10 for your answer
Your answer is;
225 words per 10 minutes
2#Hope I Helped!!! 7*4=28 and 5*4=20 so about 20 games.
3# 2p=230
divide 2
Each slice of pizza is 115 calories.
5p=c
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Grant paid $12 for 4 baseball card packs.
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Answers
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A popular candy is manufactured to weigh 0.16 ounces per piece. The pieces aresold in packages of 36. If the allowable amount of variation in weight for onepiece of candy is 0.03 ounces, which of the following equations can be used todetermine the highest and lowest allowable weight, w, of a package of 36 pieces?Assume that the weight of the packaging is negligible
a. â£wâ0.16â£/36=0.03
b. â£wâ5.76â£/36=0.03
c. 36 |wâ0.16| =0.03
d. 36|w-5.76|=0.03
Answers
Answer:
B.) |w - 5.76| / 36 = 0.03
Step-by-step explanation:
Given :
Weight of individual candy piece = 0.16 ounce
Number of candy pieces per package = 36
Allowable variation in weight of individual piece = 0.03 ounces
The highest and lowest allowable weight, w of a package of 36 pieces ;
Actual manufacturing weight of entire 36 candy = (36 * 0.16) = 5.76
Allowable weight ± actual weight ≤ allowable variation
w ± 0.16 ≤ 0.03
|w - 0.16| ≤ 0.03
For the entire 36 candy pieces :
|w - 0.16*36| = 0.03 * 36
|w - 5.76| = 1.08
|w - 0.16*36| = 0.03 * 36
Could also be written as :
|w - 5.76| / 36 = 0.03
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Answers
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If there are 2 sandwiches, 2 drinks, and 2 desserts to choose from and the lunch special is a sandwich, drink, and dessert.
The total choices are 3 in that 2 options for every choice are available.
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Answers
Answer:
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Step-by-step explanation:
Given
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Required
Is the sequence a function
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
the y-intercept is 3
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Select all side lengths that would form a
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Answers
Answer:
option 2 , 3 , 4 , 5
Step-by-step explanation:
Use Pythagorean theorem
hypotenuse² = base² + altitude².
If the lengths satisfies Pythagorean rule, then they form a right angle triangle.
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Answers
Answer:
Shift of graph of y=x^2 up 9 units.
Option D is correct option.
Step-by-step explanation:
We are given:
[tex]y = x^2[/tex]
We need to describe how the graph of [tex]y = x^2[/tex] can be transformed to the graph of the given equation [tex]y=x^2+9[/tex]
We know the transformation rule:
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So, In our case:
[tex]y=x^2[/tex] is transformed into [tex]y=x^2+9[/tex]
So, The graph is transformed vertically up 9 units.
Or we can write, shift of graph of y=x^2 up 9 units.
Option D is correct option.