Create a scaled copy of ABCD using a scale factor of 2.

Answers

Answer 1

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

How to create a scaled copy of a quadrilateral

A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.

The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).

Second, determine the coordinates of the new quadrilateral by using the dilation formula:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated point

If we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:

A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]

A'(x, y) = (1, 9)

B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]

B'(x, y) = (1, 9) + 2 · (2, 0)

B'(x, y) = (1, 9) + (4, 0)

B'(x, y) = (5, 9)

C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]

C'(x, y) = (1, 9) + 2 · (1, - 2)

C'(x, y) = (1, 9) + (2, - 4)

C'(x, y) = (3, 5)

D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]

D'(x, y) = (1, 9) + 2 · (0, - 1)

D'(x, y) = (1, 9) + (0, - 2)

D'(x, y) = (1, 7)

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

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Related Questions

Sixty-three and six-teen-thousandths

Answers

Answer:

63 and 16,000

Step-by-step explanation:

1. Which of the following sequences are arithmetic?
For those sequences that are arithmetic, identify
d and write an expression for an, in terms of n, the
term number.
I. 100, 98, 96, 94, . . .
II.
64, 32, 16, 8, ...
III. 2¹+1, 22+1, 23 +1,24 + 1,...
IV.
3 13 17 7
4'12'12'4
.....

Answers

The arithmetic sequence from the collection is I

an = 100 +( n + 1) 2

What is an arithmetic sequence?

For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.

The nth term of an arithmetic sequence is expressed as;

[tex]an = a + ( n + 1) d[/tex]

Thus, the arithmetic sequences are given as follows:

100, 98, 96, 94, . . . d = 2

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

The nth term is given as;

an = 100 +( n + 1) 2

Thus, the arithmetic sequence from the collection is I

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How much must be the last repayment be made if the loan is terminated after 5 year for which a loan of K10,000 is taken at 12% p.a. flat, where the loan is repaid by equal quarterly repayments for 9 years?

Answers

Answer:

Step-by-step explanation:

How many degrees is the angle marked X?

Answers

Answer:

the angle marked X is 60 degree

HELP ILL GIVE BRAINLIST

Answers

Answer:

equation: x + 50 = 180

solution x = 130

Step-by-step explanation:

supplementary: angles that add to 180

50 + x = 180

180 - 50 = 130

x = 130

Answer:

the equation is x+50=180

solution is 130

Step-by-step explanation:

A straight line is 180 degrees so 180-50=130

So the equation is x+50=180

solution is 130

Which expression has a greater value?
(2,040329) x 5
2,040329

Answers

Answer:

2,040329×5

Step-by-step explanation:

you are multiplying 5 more to the number so it will be 5 times larger than the other number

Answer: (2,040329) x 5 =10.201645

Step-by-step explanation:

they are both equal too so its neither is greater

Help please asap i need it

Answers

Hi
Check out the attached photo

Nora has a box of 1 hundred cubes she also has a bag of 70 cubes how many trains of 10 cubes can she make?

Answers

Answer:

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace170}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace7\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace7\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

M is the midpoint of AB. Q is the midpoint of AM. and T is the midpoint of QM. If the coordinates of A and B are a and b. find the coordinates of Q and T in terms of a and b.

Answers

The the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4].

What is Mid-point of a Line segment?

The mid-point of a line segment is a point on the line segment which divides it into two equal parts.

Given is a line segment AB whose mid-point is M with a and b being the coordinates of A and B respectively. Further, Q is the midpoint of AM and T is the midpoint of QM.

[Refer to the image attached for clear explanation]

Since M is the mid-point of AB, therefore the coordinates of point M will be = M [(a + b)/2]

Now, Q is the mid-point of AM. Therefore, the coordinates of Q will be =

[(a + b)/2 + a]/2 = Q [(3a + b)/4]

and

T is the mid-point of QM. Therefore, its coordinates will be =

(a + b)/2 + (3a + b)/4 = T [(5a + 3b)/4]

Hence, the the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4]

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Solve.
c = kny, for y

Answers

The solution of the equation c = kny, for y is y = c/kn

How to solve the equation c = kny, for y?

The equation is given as

c = kny

Divide both sides of the given equation by k

So, we have

c/k = kny/k

Evaluate the quotient on both sides of the above equation

So, we have

c/k = ny

Divide both sides of the above equation by n

So, we have

c/kn = ny/n

Evaluate the quotient on both sides of the above equation

So, we have

c/kn = y

Rewrite as

y = c/kn

Hence, the solution of the equation c = kny, for y is y = c/kn

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2/3x=6

a. x=9
b. x=4
c. x=18
d. x=12

Answers

option (a) x = 9

Step-by-step explanation:

2/3x = 6

2x = 18

x = 18/2

x = 9.

What number is under the fraction bar

Answers

Answer:

Denominator

Step-by-step explanation:

The Denominator is under the fraction bar. The numerator is above the bar

Answer:

Denominator

Step-by-step explanation:

Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.

I hope this image helps.

Please help i dont understand

Answers

Answer :

1) If x = 6

Substitute 6 for x in the expression.

a) 5x-9

5(6)-9

30-9

b) 2x-7

2(6) -7

12-7

c) 8x+5

8(6)+5

48+5

d) 4(x+3)

4(6+3)

4(9)

e) x²-(-4)

6²-(-4)

36+4

f) 3x²+1

3(6²)+1

3(36) +1

108+1

109

2) Solve

a) 54 = 3x

Divide both sides by 3.

54/3 = 3x/3

x = 18

b) x-9 = -3

Add 9 to both sides.

x-9+9 = -3+9

x = 6

c) x/7 = 140

Express the 140 over 1 and cross multiply.

x/7 = 140/1

x = 140×7

x = 980

d) x/8 = 72

Express the 72 over 1 and cross multiply.

x/8 =72/1

x = 72×8

x = 576

Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer

Answers

Answer:

sweefe

2) 1.5×108=162

The value of the 1st number is 2,732.4 and the value of the 2nd number is 162

1st given number is greater than the 2nd number i.e. 2,732.4>162

Therefore,2.7×1012 (i.e.2,732.4) is greater than 1.5×108 (i.e. 162)

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Do children weigh 160 pounds together the oldest weighs 120lbs more how much do they each weigh

Answers

Answer:

One child weighs 120lbs, and the other weighs 40lbs.

Step-by-step explanation:

Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:

120 + x = 160

Subtract 120 from both sides

x = 40

FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.

Allison ran 5 miles in 40 minutes before running an additional 3 miles in 27 minutes is this proportional are not pls help ASAP

Answers

Answer:

no it is not proportional...

Step-by-step explanation:

5 miles/40 minutes is 1/8

3 miles/27 minutes is 1/9...

Oliver threw the discus 43.82 feet. Jason threw the discus 50.02 feet. What is the difference between the two distances?

A 6 feet
B 6.2 feet
C 13.8 feet
D 16.02 feet

Answers

The answer would be B: 6.2 feet. You would take 50.02 minus 43.82 and you would get 6.2. I hope this helps <3

The difference between the distances thrown by Oliver and Jason while discus throwing is 6.2 feet.

The correct answer is Option B.

Given data:

Oliver threw the discus 43.82 feet.

Jason threw the discus 50.02 feet.

Oliver threw the discus a distance of 43.82 feet, while Jason's throw reached a distance of 50.02 feet. The difference is calculated by subtracting the shorter distance from the longer distance, resulting in 6.2 feet.

Difference = Longer distance - Shorter distance

Difference = 50.02 feet - 43.82 feet

On simplifying the equation:

Difference = 6.2 feet

This represents the variation in their performances, with Jason achieving a greater distance by 6.2 feet compared to Oliver's throw.

Hence, the difference is 6.2 feet.

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what is 4.32 x 10^4 written in standard form

Answers

Answer:

43,200

Step-by-step explanation:

4.32 x 10∧4

10 x 10 x 10 x 10

4.32 x 10000

43,200

Translate this sentence into an equation.
The difference of Goran's height and 10 is 57
Use the variable g to represent Goran's height.

Answers

Answer:

g-10=57

Step-by-step explanation:

'Difference' means to subtract.

The length of a rectangle is 5 in longer than its width.

If the perimeter of the rectangle is 58 in, find its length and width.

Answers

Answer:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

The measure of the complement of an angle is double the
measure of the angle itself. Find the measures of both angles.

Answers

Answer: u need to send a pic of the angle

Step-by-step explanation:

Emma is baking cookies for her sisters birthday. She is using a bowl in the shape of a hemisphere with a diameter of 11.5 inches. If the bowl is completely full of dough and each cookie is 8.295 cubic inches of dough, how many cookies can she make

Answers

Considering the volume of the hemisphere, it is found that she can make 48 cookies.

What is the volume of an hemisphere?

The volume of an hemisphere of radius r is given as follows:

[tex]V = \frac{2\pi r^3}{3}[/tex]

The radius is half the diameter, hence, for this problem:

r = 11.5/2 = 5.75.

Hence the volume of the bowl in cubic inches is given as follows:

V = 2π(5.75)³/3 = 398.16 cubic inches.

Consider the volume of a single cookie, the number of cookies that she can make is given by:

398.16/8.295 = 48 cookies.

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