3. What is the composition of the transformations written as
one transformation?
a. T(3, -2) (1,-1)
b. T(-40) T(-2,5)

Someone answer this with examples to because I don’t understand it

Answers

Answer 1

Answers:

a.   T(4, -3)

b.   T(-6, 5)

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

Explanation:

The "T" stands for "translation" (not transformation; even though a translation is a type of transformation).

When we say something like T(3,-2), we mean "move 3 units to the right and 2 units down". The first coordinate handles left/right movement. Positive for right, negative for left. It's just like what you'd encounter on an xy grid system. The second coordinate handles the up and down motions (positive = up, negative = down).

The notation T(3,-2) is basically the same as writing the rule [tex](x,y) \to (x+3,y-2)[/tex]

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

It's perfectly possible to chain multiple translations together. The goal is to get it as one translation instead of two separate ones.

As you can probably guess, the T(1,-1) will have the point move 1 unit to the right and one unit down.

If we add 1 unit to the right on top of the x+3, then we bump it up to x+4

If we subtract 1 unit from the y-2, then we get to y-3

So we would go from [tex](x,y) \to (x+3,y-2)[/tex]  to [tex](x,y) \to (x+4,y-3)[/tex]

This then condenses to the shorter notation T(4,-3)

It says "move 4 units to the right and 3 units down.

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

An example is shown below involving the point (5,7).

The translation T(3,-2) moves point A to point B.

Then the translation T(1,-1) moves point B to point C.

We can directly move from A to C applying the translation T(4,-3).

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

All of that above explained part (a). Part (b) is the same idea, but with different numbers. The order of translations doesn't matter.

Instead of repeating the same steps as above, I'll just talk about the shortcut.

If we had two translations T(a,b) and T(c,d) composited together, then they simplify to T(e,f) where e = a+c and f = b+d. It's as simple as adding the two corresponding coordinates.

So T(-4,0) and T(-2,5) combine to T(-6,5).

3. What Is The Composition Of The Transformations Written Asone Transformation?a. T(3, -2) (1,-1)b. T(-40)

Related Questions

please help i will mark brainliest

Answers

Answer:

So I'm not sure if the shapes have to do anything for it but I solved for x

5. x = 1

AGAIN SORRY IF THIS IS WRONG I HAVENT DONE THIS KIND OF MATH IN 5 YEARS.

Year 8 maths Finding the rule using a table of values

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = [tex]\frac{b-a}{1-0}[/tex] = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a

The equation for line G is given by 5y = -2x - 20. Suppose line G is parallel to line R, and line E is perpendicular to line G. Point (-10,8) lies on both line R and line E. The equation for line R is y= ___. The equation for line E is y= ___.

Answers

R is y=x equation for line E is y=G

Please help I need this​

Answers

Answer:

3m-8

Step-by-step explanation:

Kelly  = 8 less than (-8) 3 times Marcy (3m)

Thank You So Much!! I Need Help

Answers

Answer:

B

Step-by-step explanation:

plolynomial is (x+4)(x-0)(x-1)(x-4)

or x(x-1)(x+4)(x-4)

or (x²-x)(x²-16)

or x^4-x³-16x²+16x

HELP DUE IN 10 MINS!

Solve for x:

−12x + 4 = -7x - 16

Answers

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Can someone please solve 10 and 11

Answers

Answer:

10) 8              11) 10

Step-by-step explanation:

10)

12-4=8

? = 8

11)

7+2=9

19-9=10

TU = 10

[tex]\large \mathfrak{Solution : }[/tex]

10. Find TU :

Given values :

ST = 4 units

SU = 12 units

As we saw :.

ST + TU = SU

4 + TU = 12

TU = 12 - 4

TU = 8 units

11. Find TU :

Given values :

ST = 2 units

UV = 7 units

SV = 19 units

According to observation :

ST + TU + UV = SV

2 + TU + 7 = 19

TU = 19 - 9

TU = 10 units

What is the 20th term in the sequence f(n)=19-6×n for n≥0?

Please answer, I will give brainliest.

Point snatchers will be reported.

Answers

Answer:  -101

Step-by-step explanation:  f(n) = 19-6*n

f(20) = 19 - 6*20

f(20) = -101

Please help me I need to turn this in ASAP!! 30pts

Answers

Answer:

Step-by-step explanation:

MO bisects ∠LMN.

⇒ ∠LMO = ∠NMO

⇒ ∠LMN = 2 * ∠LMO

   6x - 28  = 2* (x +34)

  6x - 28 = 2*x + 2*34

 6x - 28  = 2x + 68

Add 28 to both sides

6x = 2x + 68 + 28

6x = 2x + 96

Subtract 2x from  both sides

6x - 2x = 96

  4x      = 96

Divide both sides by 4

x = 96/4

x = 24

∠LMO = x +  34 = 24 + 34 = 58

∠MNO = ∠LMO

∠MNO = 58°

if Y varies directly with X, and Y = -5 and X = 7, what is X when Y = -85?

Answers

Answer:

X = 119

Step-by-step explanation:

Step 1: Given

Y = -5 X = 7

Y = -85 X = n

Step 2:

-85 ÷ -5 = 17

Step 3:

17 × 7 = 119

Answer:

Y = -5 X = 7

Y = -85 X = 119

n = 119

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x

h(g(f(x))) = Ax² + B + C

Which is A: 4, -8, 8
Which is B: 20,-20,-40
Which is C: 50, -50, 25

Answers

(2x+5)(2x+5)

4x^2+10x+10x+25

4x^2+20+25

A=4

B=20

C=25

Can someone HELP ME WITH QUESTION 2 ONLY PLEASE!!! 20 points !!!

Answers

Step-by-step explanation:

1. Line l can be named as line FBD

2. B and C

3. Colinear:-A,B,C

No-Colinear:-F,B,C

4. 6

5. DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

The intersection of line l is AC and the intersection of line m is FD.

Intersection line means the line which passes the line by crossing it.

GUYS I NEED HELPPPPPP
PLEASEEEEEEEEEEE IF YOU CAN THEN TYSM

Answers

Answer:

198 cubic metres

Steps:

Find the area of cross section

Area if traingle + Area of square

1/2 × 3 × 4 + 4×4

6+ 16

22

Then times with the lenght (9)

22×9

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

Can someone Please! <3

Answers

Answer:

A= D , B=C

SO; angle D =102

A+B = 180

C+D=180

C+102=180 —> C = 180-102 = 78

So; C=78 , D=102

I hope I helped you^_^

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

 the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?

Answers

Answer:

6

Step-by-step explanation:

formula is y2-y1 / x2-x1

Step-by-step explanation:

first off find the gradient dy/dx

-6÷-1=6

y=6x+c

now substitute (2,4)

4=12+c

c=-8

y=6x-8

can you help me with this question? (angle names) thanks :)

Answers

Answer:

Option c because they can make 180° when added.

Answer:

c is the correct answer

have a great day

quick math question i got stuck on this please help for a mark on brainliest:)

Answers

Answer:

you have to change the sign from - to +

Step-by-step explanation:

-1.8 + k = 8.2

k = 8.2 + 1.8

k = 10

Answer:

sorry this is the way that I usually solve these kinds of problems but, She forgot to make -1.5 into a positive. if that makes sense

12. Find three consecutive even integers such that
the sum of the smallest integer and twice the
median integer is 20 more than the largest
integer.

Answers

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let x+1 and x+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

[tex](x)+2(x+1)=20+(x+2)[/tex]

Combine like terms:

[tex](x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

you had $430 but you are spending $8 each day which algebraic expresion describes this situation where d represents the number of days

Answers

Answer: 430-8d

Step-by-step explanation:

you start with 430 dollars and you spend 8 a day. you multiply 8 by the number of days and subtract that from 430.

The algebraic expression that describes the situation is 430 - 8d.

Given,

You have $430 but you are spending $8 each day.

We need to find the algebraic expression that describes this situation where d represents the number of days.

What is an algebraic expression?

An algebraic expression is an expression which is made up of variables and constants.

Find the algebraic expression.

Total amount = $430

Amount spend each day = $8

Let the number of days be denoted by: d

If $8 is spent daily then 8d represents the amount spent for d days.

Now,

$430 is the amount from which the money has to be spent so,

430 - 8d is the required algebraic expression.

Thus the algebraic expression that describes the situation is 430 - 8d.

Learn more about how to make algebraic expressions here:

https://brainly.com/question/12925506

#SPJ2

can someone help me please

Answers

Answer:

21°

angles don't change in dilutions but lengths do

plssmark brainliesttt

Simplify (-7d3+5d+5d2-6d4)-(8d+5d2+2d4+3d3)

Answers

Answer: B. -8d⁴ - 10d³ - 3d

Step-by-step explanation:

Given expression

(-7d³ + 5d + 5d² - 6d⁴) - (8d + 5d² + 2d⁴ + 3d³)

Expand parentheses

(REMEMBER to change [+, -] signs when there is a [-] sign in front)

=-7d³ + 5d + 5d² - 6d⁴ - 8d - 5d² - 2d⁴ - 3d³

Put like terms together

=-6d⁴ - 2d⁴ - 7d³ - 3d³ + 5d² - 5d² + 5d - 8d

Combine like terms

=(-6d⁴ - 2d⁴) - (7d³ + 3d³) + (5d² - 5d²) + (5d - 8d)

=-8d⁴ - 10d³ + 0 - 3d

=[tex]\boxed{-8d^4-10d^3-3d}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

**Answers needed fast** Jason says his measurement is larger than Marco’s measurement because
0.819 is larger than 0.85

​Is Jason correct? Explain your answer using words and numbers.

Answers

Answer:

Step-by-step explanation:

Jason is not correct because 0.819 is not larger than 0.85. Marco's number is larger.

The difference of a positive integer and an integer that is greater than it

Answers

Answer: Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, …. ... If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative

so 8 9 10 is positive and -8 -9 -10 is negative

they cancel each other out like 8+-8 = 0 and -8+4=-4

1/8 of a mile was ran in 1 1/2 min how long will it take to reach a mile HELP

Answers

Answer:

12 minutes.

Step-by-step explanation:

If it took 1.5 minutes to run 1/8 of a mile, you need to multiply both numbers by 8 (whole number) to get your answer.

a. 1/8 × 8/1 = 8/8 or ONE WHOLE MILE

b. 1.5 × 8/1 = 12

The mile is fractioned into 8 parts, multiply by 8 to get a whole mile.

5 1/4-2 2/3

Solve and show equations

Answers

Answer:

5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333

Step-by-step explanation:

1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - twenty-one quarters minus eight thirds = thirty-one twelfths.

anyone solve this maths questions from integers​

Answers

Answer:

(i) -3

(ii) 2

Step-by-step explanation:

(i) (-72/12) ÷ 2

-6 ÷ 2

-3

(ii) -84 ÷ (-40 + -2)

-84 ÷ (-42)

2

What is the solution of the equation m - 8 = -14?

Answers

[tex]\large\bf\blue{ \diamond} \rm \: \: m \: - \: 8 \: = \: - 14 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 14 \: + \: 8 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 6[/tex]

m - 8 = -14
(You need to get rid of the -8 because you want the letter on its own, so to get rid of it you add 8 to both sides)
m= -14 + 8
m = -6

Answer: m=-6

antoine brought some cans of soda to a party. His friends drank 6 cans. CReate an algebraic expression to represent how many can are left

Answers

Answer:

n - 6 = p

Step-by-step explanation:

what are vertical angles always equal to

Answers

Answer:

Vertical angles are always equal to one another. In general, we can say that, 2 pairs of vertical angles are formed when two lines intersect.

Step-by-step explanation:

Parallel lines are lines that do not meet at any point in a plane.

Intersecting lines are straight lines that meet or crosses each other at a certain point.

The diameter of a circle has endpoints M(12, 3) and P(4, -1). What are the coordinates of the center of the circle?

Answers

Answer:

8,1

Step-by-step explanation:

center = midpoint of the 2 points

12 +4/2 , 3-1/2

8, 1

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