Mathematics High School

DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?

Answers

Answer 1

Answer:

[tex]G' = (4,6)[/tex]

Step-by-step explanation:

Given

[tex]D = (2, 5)[/tex]

[tex]E = (3, 1)[/tex]

[tex]F = (4, 6)[/tex]

[tex]G = (6, 6)[/tex]

Translation: 2 units left

Required

Determine the coordinates of G'

When a point (x,y) is translated by b units to the left, the new coordinates is (x-b,y)

So, if

[tex]G = (6, 6)[/tex]

G' would be:

[tex]G' = (6-b,6)[/tex]

In this case:

[tex]b = 2[/tex]

So, we have:

[tex]G' = (6-2,6)[/tex]

[tex]G' = (4,6)[/tex]

Related Questions

What is the formula to find the area of a polygon?

Answers

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

you can watch this!!

https://youtu.be/n1YKOggLjUQ

Midpoint of (- 2, 6) (4, - 2)

Answers

Answer:

(0,5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

(x1+x2/2,y1+y2/2)

Substitute in the values for (x1,y1)and (x2,y2).

(-2+2/2,[tex]\frac{4+6}{2}[/tex])

Cancel the common factor of −2+2 and 2.

(−1+1, [tex]\frac{4+6}{2}[/tex])

Add −1 and 1.

(0,[tex]\frac{4+6}{2}[/tex])

Cancel the common factor of 4+6 and 2.

(0, 2+3)

Add 2 and 3.

(0,5)

(Sorry, some of the fractions weren't working)

which expression is equivalent to z+(z+6)?

Answers

Answer:

2(z+3)

Step-by-step explanation:

find the area of the shape

Answers

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

Albina buys a frying pan that costs 33 dollars and a wooden spoon that costs 2 dollars. If sales tax is 10%, what is the total purchase price including tax?

Answers

38.50
33+2 = 35
35*10%= 3.50
35+3.50= 38.50

The balance on Matthew’s gift card is $228. His card was debited by $178 from purchasing several items. What is the remaining balance on his card?

Answers

Answer:

50 dollars

Step-by-step explanation:

228-178=50

Can someone answer this please with an explanation.

Answers

Answer:

x=92

Step-by-step explanation:

those to angles are supplementary meaning that they add up to equal 180

so you set up the equation 180=x+x-4

180=2x-4

step 1 add 4 to each side

184=2x

step 2 divide each side by 2

x=92

so the angles equal 92 and 88

Answer:

92°

Step-by-step explanation:

180 degrees on a straight line.

2x - 4 = 180

2x = 184

X = 92°

A person in an apartment
building sights the top and bottom of an office
building 500 ft. away. The angle of elevation
for the top of the office building is 23° and the
angle of depression for the base of the building
is 50º. How tall is the office building?

Answers

The office building is about 30 feet tall

John plans to practice piano at least 2 1/2 hours this weekend. if he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal?

Answers

Answer:

No, it does not meet the goal. 2 hours and 10/24

ASAP! Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

c

Step-by-step explanation:

4^2+7.5^2=8.5^2

Write the prime factorization of each number

5). 48

6). 20

7). 66

8). 34

Answers

Answer:

5). 4×4×3

6). 5×2×2

7). 11×3×2

8). 17×2

Step-by-step explanation:

These are the prime factorizations.

A store has a 30% off sale on pants. With this discount, the price of one pair of pants before tax is $10.20. What was the original price of the pants? *

Answers

14.57   i just took the quiz                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

Find the value of x AND the value of each angle.

Answers

Answer:

x=63

x+15=78

Step-by-step explanation:

180-102=78

78-15=63

x=63

x+15=78

Kevin led 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, write and solve an equation to show the amount of students in the student groups

Answers

Answer:

Number of students in a student group = 8

Step-by-step explanation:

Let number of student in a student group = x

∴ Kevin lead 150 adults and 6x students

⇒Kevin lead = 150 + 6x

And,

Monica lead 134 adults and 8x students

⇒Monica lead = 134 + 8x

So, the number of students are equal

⇒150 + 6x = 134 + 8x

⇒150 - 134 = 8x - 6x

⇒16 = 2x

⇒x = [tex]\frac{16}{2}[/tex] = 8

∴ we get

Number of students in a student group = 8

The Lee family buys a new car that has a sales price of $35,000. If the car dealer requires a minimum down payment of 15%, what is the minimum down payment in dollars the Lees must pay for their car?
Choose the correct value.
$525
$5,250
$3,500
$15,000

Answers

Answer:

Si un electrón no consume, ni libera energía el átomo se encuentra en

Step-by-step explanationSi un electrón no consume, ni libera energía el átomo se encuentra en:

Please help will give Brain!!

Answers

Answer:

x=3

Step-by-step explanation:

No more than 15 copies of a newspaper are left in the newspaper rack. Write an inequality to represent this situation.

Answers

Answer:

0≤x≤15

Step-by-step explanation:

Simplify:

-1/2( 4/5 + 8y)

Answers

Answer:

-2/5-4y

Step-by-step explanation:

multiply each side by -1/2

The four of you split the cost of materials you bought for your lemonade stand if the total cost was 85$ how much did you each pay? (Please I need help)

Answers

Just divide 85 by 4 and you get $21.25

19,2,14,8,11,10,4,15 find the mean

Answers

Answer: 10.375

Step-by-step explanation:

mean = average

Finding the average, means you need to add all the numbers up, and then divide it by the total amount.

-------------------------------------------------------------------------------

First Step: add them up

19+2+14+8+11+10+4+15=83

Second Step: count the amount of numbers

8 numbers in total

Third Step: divide the total amount over numbers

83/8=10.375

Hope this helps!! :)

Please let me know if you have any questions

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

[tex]\large\text{When you hear the word \underline{MEAN} think of the question asking for the}\\\large\text{\underline{AVERAGE}. When we find the mean/average we have to ADD}\\\large\text{all of your TERMS, then DIVIDE the total numbers you have!}[/tex]

[tex]\bold{Set: 19,2,14,8,11,10,4,15}\\\bold{Add: 19 + 2+14+8+11+10+4+15}\\\bold{Divide: 8\ because\ thats\ the\ total\ number\ we\ have\ in\ your\ given\ set}[/tex]

[tex]\bold{Equation: \dfrac{19 + 2+14+8+11+10+4+15}{8}}\\\\\bold{Numerator\rightarrow19+ 2+14+8+11+10+4+15}\\\bold{19+2=21}\\\bold{21+14+8+11+10+4+15}\\\bold{21+14=35}\\\bold{35+8+11+10+4+15}\\\bold{35+8=43}\\\bold{43+11+10+4+15}\\\bold{43+11=54}\\\bold{54+10+4+15}\\\bold{54+10=64}\\\bold{64+4+15}\\\bold{64+4=68}\\\bold{68+15}\\\bold{=83}[/tex]

[tex]\bold{Equation: \dfrac{83}{8}}\\\\\large\text{SOLVE above and you will have your answer!}\\\bold{\dfrac{83}{8}=10.375}\\\boxed{\boxed{\large\text{Answer: your MEAN is \bf{10.375}}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amohitrite1040:)}[/tex]


Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.​

Answers

Answer:

y = 2/3

Step-by-step explanation:

14 = 6(2) + 3y

14 = 12 + 3y

2 = 3y

y = 2/3

The values in the x column represent a specific number pattern, while the values in the y column represent a different pattern. Which graph provides a visualization of these two patterns?

Answers

Answer:

please give me more context so I can help you more

What is fifty seven over one hundred

Answers

Answer:

57/100

Step-by-step explanation:

57/100

Fifty-seven(57) over one-hundred(100), or 57 more than 100 would be 157!

Hope this helps, if not, comment below please!!!

:L

PLEASE HELP I WILL GIVE BRAINALIST TO THE FIRST PERSON!!!!!!

Answers

Answer:

1.) 1   2.) [tex]\frac{1}{4^{2} }[/tex]   3.)[tex]\frac{7b^{3}}{a^{5}}[/tex] 4.)[tex]\frac{9a^{7}}{b^{6}}[/tex]  5.)[tex]\frac{1}{5^{2}}[/tex] 6.) [tex]\frac{8x^{3}}{27}[/tex]

Step-by-step explanation:

please help me with this

Answers

Answer: 5

Step-by-step explanation:

PLEASE HELP!!!!!! IM HORRIBLE AT MATH​

Answers

Im bad at math too! we can be horrible at math together

5. Triangle ADE is enlarged to form triangle

Answers

Answer: the scale factor would be 2

Step-by-step explanation:

If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC

How many grams are in a kilogram

Answers

Answer:

1000

Step-by-step explanation:

the prefix kilo means 1000

Paula has 2 bananas. She wants to divide each of them into sections. How many 's are there in 2 bananas?

Answers

Answer:

Answer is 1

2 divided by 2

Step-by-step explanation:

the set of all numbers greater than or equal to 5 and less than or equal to 7

Answers

5 ≤ x ≤ 7

The list of numbers would be: 5,6,7

Hope this helped :)

The notation according to the set will be "[tex][5, + \infty) \cup (- \infty , 7][/tex]".

Let,

"x" belongs to a set of (Real numbers) R.

∴ [tex]x \ \epsilon \ R[/tex]

Now,

[tex]x \geq 5[/tex][tex]x \leq 7[/tex]

hence,

→ [tex]x \leq 7 \rightarrow (- \infty, 7][/tex]

→ [tex]x \geq 5 \rightarrow [5, + \infty)[/tex]

then,

The notation will be:

→ [tex][5, + \infty) \cup (- \infty , 7][/tex]

Thus the above solution is appropriate.

Learn more:

https://brainly.com/question/11375885

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