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

Solve the system of equations..
y= 2x +42
y=8x

Answers

Answer:

x=7

Step-by-step explanation:

set up the equation equal to each other

8x=2x+42

subtract 2x from 8x.

equation should look like: 6x=42

divide 6x by 42

equal x=7

Answer:

x = 7

y = 56

Step-by-step explanation:

Sub y = 8x into first equation

8x = 2x + 42

Rearrange by collecting like terms

8x - 2x = 42

6x = 42

x = 7

Sub x = 7 into second equation

y = 8*7

y = 56

Solve for y.
-2 = y – 14
-2

Answers

y = 12
bring -14 to the other side which makes it positive and then 14 - 2 is 12 so Y = 12

El triángulo que usamos en las funciones trigonométricas es

Answers

Trigonometric functions are commonly defined as the quotient between two sides of a right triangle, associated with its angles. Trigonometric functions are functions whose values are extensions of the trigonometric reason concept in a right triangle plotted in a unit circumference (radius unit).

Someone helppp pleasee

Answers

Answer:

Smaller

Step-by-step explanation:

the answer to 7 x 1/3 is 7/3 which is 2.333 in decimal form

therefore, 2.333 is smaller than 7

hopefully i was of help! :)

It’s 2.3333333333333333333 so smaller

HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.

Answers

Answer:

-2

Given:

h(x) = -9

Step-by-step explanation:

h(x) = 4x - 1

-9 = 4x - 1

-9 + 1 = 4x

-8 = 4x

-8/4 = x

x = -2

hope you understood❤

The solution for x when h(x) = -9 is -2

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively

Given;

h(x) = 4x – 1...(1)

h(x) = -9

Substituting the value of h(x) in equation 1

-9=4x-1

-9+1=4x

-8=4x

x=-8/4

x=-2

Therefore, the solution for the equation will be x=-2

Learn more about linear equations;

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what does a “mirror view” mean

Answers

Answer:

In mirror view, when you look at your self-view video, your video appears as if you were looking at your reflection in a mirror. The left and right sides of your image appear to be reversed.

Answer:

It means when a person can only see straight and not on the sides. For example, when you are looking at the computer screen, you also see things around it on the sides. By if a person has mirror view, the he only see only the thing directly in front of him and nothing else.

Step-by-step explanation:

Task: 4 2/3 yards = ? feet
whats the rule

Answers

Answer:

4 2/3 yards = 14 feet

Step-by-step explanation:

1 yard = 3 feet

PLEASE HELP ASAPPPPPPPPPPP

Answers

Answer:

3 inches.

Step-by-step explanation:

72 / 24 = 3.

hope that helps!

what are the coordinates of the intercepts

Answers

Answer:

Buy ram 3500 Laramie Longhorn

Step-by-step explanation:

Answer:

negative one is ti on the y axis

can someone help me with this please? asap

Answers

Answer:

C

Step-by-step explanation:

8^2-3^2=x^2

root x= root 55

I neeeeed the answer ASP ILL GIVE BRAINLY

Answers

Answer:

Tree farm A mean = 8

Tree farm B mean = 8

Tree farm B

Step-by-step explanation:

Average the numbers

Tree farm a = 8
Tree farm b =8
Tree farm b

Please help me I have no clue how to do this

Answers

Answer:

Try the answer B.

Step-by-step explanation:

2. This model represents an equation

(a) Write an equation that could be used to solve x.
(b) Solve the equation for x. Show your work

ILL GIVE YOU BRAINLIEST

Answers

Answer:

i believe its A. hope that helps

Step-by-step explanation:

Answer to The model represents the quotient of two fractions equation does this model represent

A.) 5x-1=-6
B.) 5x=-5 -5/5=-1 so x=-1
The answer is x=-1 because in order to solve the equation, you have to remove the -1, which means you add 1 to each side, because the -6 was negative, when you add 1 it goes to -5, at this point it should look like 5x=-5. Now you divide by 5 on both sides since the coefficient of x is 5, leaving you with the answer, x=-1

QRS contains the points: Q(4, 2) R(5, 1) S(3, 7). If the triangle is reflected across the y-axis, what will S' be? ANDWER ASAP WILL GIVE BRAINLEST!!

Answers

Answer:

S'(-3, 7)

Step-by-step explanation:

The coordinate of point S' will be (-5, 1).

What is reflection?

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.

What is the rule to find the reflection of a point in y-axis?

The rules for finding the reflection of a point in y-axis are:

(i) Change the sign of abscissa, i.e. x-coordinate.

(ii) Retain the ordinate i.e., y-coordinate.

Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.

According to the given question.

We have a triangle QRS.

The coordinates of points Q, R, and S are (4, 2), (5, 1) and (3, 7) respectively.

Since, the triangle QRS is reflected across the y-axis .

Therefore, the coordinate of S' is given by

The sign of abscissa or x-coordinate of (5, 1) changes so, 5 changes to -5.

And the ordinate i.e. 1 will remain same.

Therefore, the coordinate of point S' will be (-5, 1).

Find out more information about reflection here:

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Plz help me I’ll give brainliest

Answers

Answer: (below)

Step-by-step explanation:

y = 2x + 1

slope = 2

y-int = (0, 1)

y = 3x - 1

slope = 3

y-int = (0, -1)

y = 4x

slope = 4

y-int = (0, 0)

y = -3x - 1

slope = -3

y-int = (0, -1)

y = -x - 4

slope = -1

y-int = (0, -4)

y = (2/5)x - 1

slope = 2/5

y-int = (0, -1)

what is the difference between an equal sign and an inequality sign?

Answers

Inequality sign means not equal (not same value)

Equal sign means equal (same value)

Answer:

Inequality is greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions

and equal is the sum of the problem

Step-by-step explanation:

4x + 6 = 8x – 10 graphing

Answers

Answer:

Step-by-step explanation: First things first, you have to have the variables on one side. To do that, subtract 4x from each side.

4x + 6 = 8x - 10

-4x         -4x

Now you have your equation that is ready to graph.

6 = 4x - 10

Use a graphing calculator and put in the equation. You can also go to desmos.com

When you are done you will see your graph as well as the answer.

i need help finding the value of n​

Answers

8n+3+9n+7=180
17n+10=180
17n=170
Answer
N=10

Answer:

lakes 24

Step-by-step explanation:

Find the answer to the question below

Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?

Answers

Answer:

0.336?

Step-by-step explanation:

the complement angle of 40 degree is

Answers

Answer:

50 degree angle

Step-by-step explanation:

Complementary angles add up to 90 degrees

True or false? The circle above is 4 Square units.

Answers

Here you go :)

Hey, don't second guess yourself ok, you got this!!

The answer is True

________

Answered by James


Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5

Answers

Answer:

a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

Step-by-step explanation:

a.

T(n) = 2n² + 4 is the rule of the sequence, where

n is the position of the number in the sequence

∴ For the first term, n = 1

→ Substitute n by 1 in the rule above to find T(1)

∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4

T(1) = 6

→ For the second term, n = 2

∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4

T(2) = 12

→ For the third term, n = 3

∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4

T(3) = 22

→ For the fourth term, n = 4

∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4

T(4) = 36

→ For the tenth term, n = 10

∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4

T(10) = 204

The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b.

T(n) = 3n² - 3 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3

T(1) = 0

→ For the second term, n = 2

∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3

T(2) = 9

→ For the third term, n = 3

∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3

T(3) = 24

→ For the fourth term, n = 4

∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3

T(4) = 45

→ For the tenth term, n = 10

∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3

T(10) = 297

The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c.

T(n) = -3n² + 7 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7

T(1) = 4

→ For the second term, n = 2

∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7

T(2) = -5

→ For the third term, n = 3

∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7

T(3) = -20

→ For the fourth term, n = 4

∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7

T(4) = -41

→ For the tenth term, n = 10

∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7

T(10) = -293

The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d.

T(n) = 4n² - 5 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5

T(1) = -1

→ For the second term, n = 2

∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5

T(2) = 11

→ For the third term, n = 3

∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5

T(3) = 31

→ For the fourth term, n = 4

∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5

T(4) = 59

→ For the tenth term, n = 10

∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5

T(10) = 395

The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

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

what is the change between -15 and 11

Answers

the change is plus 4

Which of the following fractions is 4/7 equivalent to ?

6/9
8/14
2/3
8/21

Answers

Answer:

8/14

Step-by-step explanation:

8/14 simplifies to 4/7.

[tex]\frac{8}{14}=\frac{8/2}{14/2}=\frac{4}{7}[/tex]

Hope this helps.

The fraction that is equivalent to 4/7 among the given set of fractions is 8/14

Equivalent of fractions

From the question, we are to determine the fraction that is equivalent to 4/7

To determine this, we will reduce each of the given fractions to their lowest terms where possible

For 6/9

Dividing both the numerator and denominator by 3, we get

2/3

∴ 6/9 is not equivalent to 4/7

For 8/14

Dividing both the numerator and the denominator by 2, we get

4/7

∴ 8/14 is equivalent to 4/7

For 2/3

This is the lowest form of this fraction and it is not equivalent to 4/7

For 8/21

This is the lowest form of this fraction and it is not equivalent to 4/7

Hence, the fraction that is equivalent to 4/7 among the given set of fractions is 8/14.

Learn more on Equivalent fractions here: https://brainly.com/question/2342090

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what is the answer to the question?​ Need help asap

Answers

It’s positive 102 because the negotiates cancel out!

What does CPTCTC stand for?

Answers

Answer:

Corresponding parts of coungruent triangles are congruent

Step-by-step explanation:

when you have two triangles and you have proved they are congruent, then each part of one triangle (side, or angle) is congruent to the corresponding part in the other.

When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4

Answers

Answer:

Just -3 + 13n^4

Step-by-step explanation:

What does the graph of y = -4 look like?

Answers

it’s in the negative side the -4

If -2x -4 = -4x + 3, then does x = 3

Answers

Answer:

No it doesn't.

Step-by-step explanation:

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