Rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6) is dilated using scale factor = 2, centered at (12, -1)

Answers

Answer 1

The final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)

If the coordinate vertice (x,y) is dilated by a factor k, the resulting coordinate of the image will be (kx, ky). Note that each of the coordinates was multiplied with the factor to get the resulting coordinate.

For the coordinates of the rhombus FGHI with vertices F(6, -1), G(11, -3), H(13, -8), and I(8, -6), if dilated by a factor of 2, the resulting coordinates will be at F'(12, -2), G'(22, -6), H'(26, -16), and I'(16, -12)

If the resulting coordinate is centered at (12, -1), we will simply subtract the center from the resulting coordinate to get the final position of the rhombus. The final coordinates will be as shown:

F'' = (12-12, -2+1) = (0, -1)

G'' = (22-12, -6+1) = (10, -5)

H'' = (26-12, -16+1) = (14, -15)

I" = (16-12, -12+1) = (4, -11)

Therefore final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)

Learn more on dilation here: https://brainly.com/question/11348620


Related Questions

identify the median of 15-18​

Answers

The median of 15, 16, 17, 18 is 16.5
I hope this helps

I NEED HELP PLEASE! Thank you

Answers

Answer:

A

Step-by-step explanation:

21 -6×3

-6×3=-18

21-18

=3

A girl plays the same computer game lots of times.
The computer scores each game using 1 for the win, 0 for lose.
After each game, the computer calculates her overall mean score.
The graph shows the results for the first 20 games.

What percentage of the 20 games did the girl win?

Answers

Answer: 45%

From my common sense

If the graph line goes up, she wins.

If the graph line goes down, she loses.

1. Count the amounts of times which the graph line goes up.

(btw the first game she won because the graph line started at 1)

= 9

2. Calculate the winrate of her 20 games

= 9/20 * 100

= 45%

finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?

Answers

Answer:

true

Step-by-step explanation:

Pythagoras is simply c² = a² + b².

so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.

A scale drawing for a rectangular parking lot measures 5.3 cm by 7.5 cm.

The scale is 2 cm:7 m. What are the width of the actual parking lot, if the

drawing width is 7.5 cm?

Answers

Answer:  26.25 meters

=====================================================

Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

at noon, a tank contained 8 in. of water. after several hours, it contained 6 in. of water. what is the percent decrease of water in the tank?

Answers

Answer: 25%

Step-by-step explanation:

To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.

find the number of tiles in the 57th figure. justify your answer using an algebraic expression

Answers

3,365 tiles! the equation is always (x+1)^2 (squared) + 1 = Y. because y is the number of tiles and the x is whatever figure you’re on. but the figures start like #1 is a 2x2 instead of a 1x1 so 57th figure would not be 57x57 but 58x58. and then add 1 because there’s always that top left corner tile! if you appreciate my answer giving it brainliest is always appreciated!!

(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.

Answers

Answer:

(1 , -2/3)

Step-by-step explanation:

when y =0

3×0-2x=-2

0-2x=-2

divide both side by -2

x=1

when x=0

3y-2×0=-2

3y-0=-2

divide both side by 3

y=-2/3

Complete the sentence below.
If 8^x= 8^3, then x =

Answers

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

Subtract. Show complete procedure.

4m - 3
3m + 1
-----------

Answers

Answer:

m - 2

Step-by step explanation:

4m - 3  - 3m + 1=> 4m - 3m - 3 + 1=> m - 2

Conclusion:

Therefore, 4m - 3  - 3m + 1 equals m - 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

I want a picture of magnitic force and electric force​

Answers

Answer:

Step-by-step explanation:

123

can someone please help me with this

Answers

Answer:

cogratulation you're the best math

the quotient of a number and 7 is greater than or equal to 20

Answers

Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

At what point(s) does the parabola,

y

=

x

2



2

, intersect the line,

y

=



x

Answers

Answer:

Please check the formatting when posting.  I'm assuming these are the equations:

y=x^2 - 2

y=−x

Step-by-step explanation:

We can either graph the equations or solve them.  I use graphing - see the attachment.  The lines intersect at (-2, 2) and (1,-1)

1.  Graphing

See attached graph

(-2, 2) and (1,-1) are the intersection points

2.  Solving

y=x^2 - 2  Use y=−x in this equation:

-x = x^2 - 2

0 = x^2 + x - 2

0 = (x+2)(x-1)

x = -2 and +1

(-2, 2) and (1,-1) are the intersection points

Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard?

Answers

Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².

The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:

= 2 x length + 2 x Width

= 2 x 9 + 2 x 11

= 18 + 22

= 40 inches

The area of the clipboard will be:

= Length x Width

= 9 x 11

= 99 inches ²

In conclusion, the length is 40 inches and the area is 99 inches²

Find out more about area at https://brainly.com/question/16997207.

What is the slope-intercept equation for the line below?
5
(5.4)
(0, 2)
y
O A. - - x + 2
B. yo * +2
C. v - -** +2
D. v=x+2
HELP?!!!!

Answers

Answer:

[tex]y=\frac{2}{5}x+2[/tex]

Step-by-step explanation:

(x1, y1) = (5, 4)

(x2, y2) = (0, 2)

First, find the slope. The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the 2 points above in that form, so you can plug those in here:

[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]

The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Plug in the slope we found for m and whichever point you want for (x, y):

[tex]2=\frac{2}{5}0+b[/tex]

Now, solve for b:

[tex]2=0+b\\b=2[/tex]

In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.

Finally, with both the slope and the y-intercept, you can write the equation:

[tex]y=\frac{2}{5}x+2[/tex]

1. Calculate the equation of the line through the points (1, 1), (4, 3), (10, 7) and (40, 27).

Answers

Answer:

y = (2/3)x + 1/3

Step-by-step explanation:

Check that a single straight line will actually go through all four of these points.  Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3.  Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).

Let's find the slope-intercept form of the equation of this line:  y = mx + b

Arbitrarily choose the point (1, 1).  Here x = 1, y = 1 and m = 2/3.  Then

we have

1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.

The equation in question is y = (2/3)x + 1/3

NEED HELP ASAP 40 POINTS GEOMETRY QUESTION PLEASE GIVE FULL ANSWER!!!Which of the lines listed below is perpendicular to the line with the equation ​

Answers

Answer:

Step-by-step explanation

There. Someone help pls.

Answers

Answer:

85 because if you do the math

5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour?

Answers

Answer:

75 students

Step-by-step explanation:

180*5/12=75

=
The line y = 4x + 3 crosses the y-axis at A.
1) What is the coordinates of point A?

Answers

Answer:

A(0,3)

Step-by-step explanation:

the line crosses y-axis so its x-coordinates must be zero,

so we subistitute by x=0 in the equation of the line, from this we get y=3

then the coordinates of point A will be (0,3)

Please guys I have 10 maybe 20 minutes to get this finished

Answers

Answer:

so there are 100 pennies in one dollar so

100*1000000=100000000

or 100 million

Hope This Helps!!!

One million dollars is
1,000,000
Which is 1.0 * 10^6

(3^3 times 6^6)^-3 in fraction form

Answers

Use cymath! It's free to use and can easily help you with math like this.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(3^3 \times6^6)^{-3}}\\\\\mathsf{3^3}\\\mathsf{=3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= 27}\\\\\mathsf{(\bold{27}\times6^6)^{-3}}\\\\\mathsf{6^6}\\\mathsf{= 6\times6\times6\times6\times6\times6}\\\mathsf{= 36\times36\times36}\\\mathsf{= 1,296\times36}\\\mathsf{= 46,656}\\\\\mathsf{(27\times \bold{46,656)}^{-3}}\\\\\mathsf{= \dfrac{1}{1,256,712\times1,256,715\times1,259,712}}\\\\\mathsf{=\dfrac{1}{1,999,004,627,104,432,128}}[/tex]

[tex]\large\text{Therefore, your answer is: }\mathsf{ \dfrac{1 }{1,999,004,627,104,432,128}\ }}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the quotient of 8.44 and 0.04?
10 pts

Answers

8.44/0.04=211

hope this helps!

Answer:

211

Step-by-step explanation:

8.44 divided by 0.04 = 211

Is the converse of the statement valid?

If a is odd, then a + 7 is even.


Yes. If a + 7 is even, then a is odd.

Yes. If a is odd, then a + 7 is odd.

No. If a is even, then a + 7 is odd.

No. If a + 7 is odd, then a is even.

Answers

Yes. If a+7 is even, then a is odd

The converse of the statement is valid

Yes. If a + 7 is even, then a is odd.

The converse of a statement is gotten by switching the hypothesis and the conclusion.

In the statement:

If a is odd, then a + 7 is even.

The hypothesis = a is odd

The conclusion = a + 7 is even

The converse of the statement will be:

If a + 7 is even, then a  is odd.

The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd

Learn more on converse statement here: https://brainly.com/question/2751386

9=[tex]9=\frac{2-4t}{t+3}[/tex]

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

Help a sis out ??
Write a function rule for the area of a triangle whose height is 4 in, more than twice the length
of its base. What is the area of the triangle when the length of its base is 16 in.?
A. A = 262 + b
C. A = 262 + b
A = 144 in?
A = 528 in.
B. A = b2 + 2b
A = 288 in
D. A = 262 + 4b
A = 576 in
O
D
B.
C
SES

Answers

Answer:

B

Step-by-step explanation:

let base be b then height h = 2b + 4

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] b(2b + 4) ← distribute parenthesis

A = b² + 2b

When b = 16 , then

A = 16² + 2(16) = 256 + 32 = 288 in²

Given that AABCDEF, solve for X.
B
A. 10
o
B. 6
C. 17
0 0

Answers

Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

[tex]\frac{EF}{BC}[/tex] = [tex]\frac{DE}{AB}[/tex] , substitute values

[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{30}[/tex] ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

The ratio remains same

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}[/tex]

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}[/tex]

[tex]\\ \sf\dashrightarrow 15x=105[/tex]

[tex]\\ \sf\dashrightarrow x=7[/tex]

What is -2 1/2 times 3 3/4?

Answers

Answer:

-6 3/8

Step-by-step explanation:

Step-by-step explanation:

-2 1/2 mixed number change fraction= -3/-4 = 3/4.

3 3/4 = 15/12 = 5/4.

3/4 x 5/4= 15/16.

Francesca is painting a picture of the purple flowers in her garden. She mixes paint to make the perfect color for each type of flower. For the daisies, she mixes 2 ounces of white paint and 5 ounces of purple paint. For the tulips, she mixes 3 ounces of white paint and 6 ounces of purple paint. Which flower is a darker shade of purple?

Answers

Find total ounces mixed for each flower:

Daisies = 2+5 = 7 ounces

Tulips = 3 +6 = 9 ounces

Now find the ratio of purple to white for each one:

Daisies = 5/7 = 0.714

Tulips = 6/9 = 0.666

Daisies have more purple so would be the darker ones.

Answer:

Daisies

Step-by-step explanation:

IXL told me it was right

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