a sequence of transformations is used to map triangle RST onto triangle LMN please help

Answer:

f(6) = 3(6) - 9

Step-by-step explanation:

y = 3(6) - 9

y = 18 - 9

y / f(x) = 9

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

∴ 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

Answer:

No it doesn't.

Step-by-step explanation:

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

Answer:

Subtraction property of equality (a)

The answer is A because the subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

Answer:

number 10

k= 36

number 11

k=33

Answer:

Buy ram 3500 Laramie Longhorn

Step-by-step explanation:

Answer:

negative one is ti on the y axis

Answer:

It’s c

Step-by-step explanation:

I just did it in edg

Answer:

Just -3 + 13n^4

Step-by-step explanation:

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.

Here you go :)

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

The answer is True

________

Answered by James

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)

Answer:

C

Step-by-step explanation:

8^2-3^2=x^2

root x= root 55

Answer:

4 2/3 yards = 14 feet

Step-by-step explanation:

1 yard = 3 feet

Answer:

Try the answer B.

Step-by-step explanation:

Answer:

Tree farm A mean = 8

Tree farm B mean = 8

Tree farm B

Step-by-step explanation:

Average the numbers

Answer:

50 degree angle

Step-by-step explanation:

Complementary angles add up to 90 degrees

Answer:

0.336?

Step-by-step explanation:

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

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;

https://brainly.com/question/10413253

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Answer:

S'(-3, 7)

Step-by-step explanation:

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

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

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:

https://brainly.com/question/11453535

#SPJ3

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:

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:

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! :)

Answer:

3 inches.

Step-by-step explanation:

72 / 24 = 3.

hope that helps!

Answer:

lakes 24

Step-by-step explanation: