Quadrilateral ABCD is translated to get quadrilateral A’B’C’D’. Vertex A is at (-5, 2), and vertex A’ is at (2, -2). Quadrilateral ABCD is translated blank. If vertex B is at (-6, 5), then vertex B’ is at blank

Answers

Answer 1

Answer:

vertex B' is at (1, 1)

Step-by-step explanation:

Let us revise the rules of translation of a point

If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

Let us use the rules to solve our question

Vertex A = (-5, 2)

Vertex A' = (2, -2)

→ The coordinates of the two points changed which means the

  quadrilateral is translated horizontally and vertically

∵ The x-coordinate of A = -5

∵ The x-coordinate of A' = 2

→ Which means it moves to the right, so use the first rule above

∴ the rule of translation is T (x, y) → (x + h, y)

∴ x → x + h

∵ x = -5 and x + h = 2

∴ -5 + h = 2

→ Add 5 to both sides

∴ -5 + 5 + h = 2 + 5

h = 7

∴ The quadrilateral is translated 7 units right

∵ The y-coordinate of A = 2

∵ The y-coordinate of A' = -2

→ Which means it moves down, so use the 4th rule above

∴ the rule of translation is T (x, y) → (x, y - k)

∴ y → y - k

∵ y = 2 and y - k = -2

∴ 2 - k = -2

→ Add K to both sides

∴ 2 - k + k = -2 + k

∴ 2 = -2 + k

→ Add 2 to both sides

∴ 2 + 2 = -2 + 2 + k

4 = k

The quadrilateral is translated 4 units down

→ Let us find B'

T (x, y) → (x + h, y - k) is the rule of translation

∵ B = (-6, 5)

∵ h = 7 and k = 4

∴ B' = (-6 + 7, 5 - 4)

∴ B' = (1, 1)

vertex B' is at (1, 1)

Answer 2

Quadrilateral ABCD is translated 7 units right and 4 units down. If vertex B is at (-6, 5), then vertex B′ is at (1, 1)


Related Questions

(-3√ -81)(-5+√ -9)+9i

Answers

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

The double number lines show the ratio of yards to miles.



How many yards are in 555 miles?

Answers

There 976,800 yards in 555 miles.
976,800 is the correct answer

Find the value of the variable that results in congruent triangles. Complete the explanation.
F
30°
30°
9 in.
9 in.
(2x) in.
(x + 4) in.
А
B
D
E
AC is congruent to DF, because AC
DF = 9 in. 2C is congruent
to ZF. EF
must correspond to BC. The triangles (select) » congruent by the (select) Triangle
Congruence Theorem only when x = |

Answers

Answer:

[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Step-by-step explanation:

From the figures given, ∆ABC and ∆DEF have an included corresponding angles measuring 30° each (<C and <F), and also a given corresponding side length of 9 in each (side AC and side DF). The other given as am expression, and hence the length is unknown. For these two ∆s to be considered congruent, using the SAS Triangle Congruence Theorem, we must have two sides and an included angle of ∆ABC equal to the corresponding sides of and an included angle of ∆DEF.

We already know that 1 of the given side corresponding side lengths are equal and also the include angles are equal, to find out what value of x that will make both unknown corresponding lengths equal, in other for the SAS to be true, set 2x equal to (x + 4) to solve for x.

Thus:

2x = x + 4

Subtract x from both sides

2x - x = 4

x = 4

Substituting x = 4 into 2x and x + 4 will give us equal lengths of 8 in respectively. Therefore, if x = 4, both triangles will be congruent based on the SAS Triangle Congruence Theorem.

The answer is:

[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Select the correct answer from each drop-down menu

Simplify

Answers

Answer:

[tex]3\sqrt7[/tex]

Step-by-step explanation:

This is because you can split 63 into two numbers, [tex]\sqrt{9}[/tex] and [tex]\sqrt{7}[/tex]. When you simplify [tex]\sqrt{9}[/tex] turns into 3 but [tex]\sqrt{7}[/tex] will not simplify further so it will be [tex]3\sqrt{7}[/tex].

pls answer the questions ​

Answers

Answer:

which question

Step-by-step explanation:

hope this helps u

Answer:

What question there is nothing here

What is the slope of y=-x perpendicular to the equation

Answers

[tex] \frac{1}{2} x[/tex]

For the function f(x) = x + 4, what is the ordered pair for the point on the graph where x = 3p?

Answers

Answer:

D. (3p, 3p + 4)

Step-by-step explanation:

Answer:

(3p, 3p + 4)

Step-by-step explanation:

how to work out the area of a rhombus

Answers

Answer:

In rhombus, there are two diagonals.

Ar. of rhombus=[tex]\frac{1}{2}[/tex] × diagonal 1× diagonal 2

U have to byheart this formula.

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

The Value of the reciprocal. The top one.

Step-by-step explanation:

As you notice the number Doubles everytime making it 2x more every time.

What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 different outcomes when rolling a fair dice.

You can roll a:

1

2

3

4

5

or

6

There is one outcome we want. Probability=number of desirable outcomes/total number of options.

1= number of desired outcomes

6-=total number of outcomes

1/6

What is the probability that a randomly chosen exam score is above 300?

Answers

Answer:

I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?

Step-by-step explanation:

Anything that’s higher than 300 because you said above which is positive.

Please help with this problem ,
what is 5 x 6

Answers

Answer:

the answer is 30

Answer:

30

Step-by-step explanation:

6+6=12

12+6=18

18+6=24

24+6=30

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.
What can Vector report to his local Biogas Club about the results of his experiments? ​

Answers

Answer:

About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.

Iready 100%

Answer:

The range is more consistent with pure cow manure, but the mixture of cow manure and mashed bananas creates more biogas overall.

Is this linear or not linear? Please explain how you got your answer.

Answers

Answer:

Not linear

Step-by-step explanation:

19.6-4.9=14,7

14.7+19.6=34.3 not 44.1

Why is this a function?!

Answers

Answer:

It is a function because, the domain doesn't repeat.

Step-by-step explanation:

The diagram shows a cone. Given that the volume of the cone is 21 m’and the height of the cone is
12 cm. Form a quadratic equation based on the given information.

Please help me..


Answers

Answer:

I don't know really sorry friend I am so sorry I was just wondering for answers

A weather balloon is launched in Texas from an altitude of 300 feet above sea level. If the balloon is rising at a constant speed of 80 feet per minute, write an equation that can be used to find t, the time in minutes it will take for the balloon to reach an altitude of 10,500 feet?

Answers

10500 - 300 + 80t yay

China is known as the most populous country in the world with an estimated population of 1,400,000,000 while the United States of America has an estimated population of 328,000,000. To the nearest person, how many times greater is the population of China than the population of the United States of America?

Answers

Answer:

China has 1,072,000,000 more people

Step-by-step explanation:

What are the coordinates of the graphed point?
(1, -4.5)
(-1,4,5)
(-1.5, 1)
(1,4,5

Answers

Answer:

A=(1, −4.5)

Step-by-step explanation:

Help me solve this problem please

Answers

Option C, a = (w - 4b )/7 is the correct answer

w = 7a + 4b

7a = w - 4b

a = (w- 4b )/7

Find the distance between the points (-9,2) and (-1,4). Round to the nearest tenth if necessary.

Answers

Answer:

The answer to the nearest tenth is 8.2

Step-by-step explanation:

In order to find the distance between any two points, you must use the distance formula. when you plug in the points into the formula you end up with 8.246, rounded to the nearest tenth would be 8.2. I hope this helps!

very faint but the number in the root thing is 114 :) help please!!

Answers

dear I think the figure under the root is 144

14²- √144

(14 ×14) -12

the square root of 144 is 12

196 -12

184

Answer: "dookie dookie dookie"

*picture of the most trash game

which equation could be used to find the number of minutes m in h hours​

Answers

Answer: A

Step-by-step explanation:

Since we know that 60 minutes equals an hour, we can easily just divide an hour by 60 (minutes), and get the answer.

If you have any questions, leave them in the comments. I'll be happy to answer them!

I believe C: m=60/h. hope it helps.

solve: 9 x squared minus 12x + 4 equals 0. give answer as a fraction or integer do not use decimals do not put space in answer​

Answers

The answer is x= 2/3

:) <3

Please help. Will give brainlist, it’s due soon.

Answers

Answer:

1) slope = -2

 y-int = -2

2) slope = y2-y1/x2-x1

*using (-12,19) and (-5,5)

slope = 19-5/-12--5

slope = 14 / -7

slope = -2

y-int = -5

3) slope = rise/run

slope = 4/2

slope = 2

y-int = 3

4) a) the weight of the package in pounds and the cost of shipping

   b) the cost of shipping of one pound

   c) slope = rise/ run

      slope = cost of  shipping / the weight of the package

      slope = 12/3

      slope = 4

   d) the price of shipping one pound

   e) the y-int = 0 when shipping 0 packages 0 dollars are paid

   f) the amount you pay when you ship 0 pounds

Answer:

slope = -2

y-int = -2

2) slope = y2-y1/x2-x1

*using (-12,19) and (-5,5)

slope = 19-5/-12--5

slope = 14 / -7

slope = -2

y-int = -5

3) slope = rise/run

slope = 4/2

slope = 2

y-int = 3

4) a) the weight of the package in pounds and the cost of shipping

b) the cost of shipping of one pound

c) slope = rise/ run

slope = cost of shipping / the weight of the package

slope = 12/3

slope = 4

d) the price of shipping one pound

e) the y-int = 0 when shipping 0 packages 0 dollars are paid

f) the amount you pay when you ship 0 pounds

Step-by-step explanation:

The output of a function is called the What variable

Answers

Answer:

Dependent

Step-by-step explanation:

The output of a function is the y value. This is also the dependent variable.

which equation represents a linear function?

Answers

That would be y=x-3. The other answers are either parabolas or something else
the answer is y=x-3 because why not

5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.

Answers

Step-by-step explanation:

Words like "below", "loss", "off", "dropped", "deduction" mean negative.

Words like "above", "gain", "on", "ascend", "gain" mean positive.

1. -8°C

2. +6 kg

3. 0 m

4. -50

5. +3

6. -8

7. +1000 ft

8. -2

9. -4

10. 1/8

What’s the answer ??

Answers

So, first you do 4x+54 is greater than or equal to 70 first you subtract 54 from both sides and get -16 and then you divide by 4 by both sides and get x=-4 I hope this helps :).

what is 40 divided by 59?

Answers

Answer:

0

40 as the remainder

Step-by-step explanation:

0 0  

 5 9 ⟌ 4 0  

     - 0    

       4 0  

     -   0  

       4 0  

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