its a math question!!! please help! Find the image points given the following triangle reflected across the line y = -1

D(-1,-1), E(1,3), F(3, -2)

Question options:

D'(-2,-2), E'(0,-6), F'(2,-1)


D'(2,-1), E'(21,3), F'(0,-2)


D'(1,1), E'(-1,-3), F'(-3,2)


D'(-1,-1), E'(1,-5), F'(3,0)

Answers

Answer 1

Answer:

Step-by-step explanation:

Point D lies on the line, so it is invariant.

Point E is a distance of 4 units away from the line y=-1, so E is now (1, -1-4)=(1, -5).

By the same logic, F' is now (3, 0).

Answer 2

The image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .

What is image point?

The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.

According to the question

Triangle points given

D(-1,-1), E(1,3), F(3, -2)

and reflected across the line y = -1

As, we have to reflect from  y = -1 , there will be no change in x axis in image points only y axis will be change .

D(-1,-1)

x axis = -1

y axis = -1

x' axis = -1

y' axis = distance from -1 to -1 = 0

therefore,

y' axis = -1

D'(-1,-1)

E(1,3)

x axis = 1

y axis = 3

x' axis = 1

y' axis = distance from 3 to -1 = |3 -(-1 ) |= 4 unit

therefore, 4 unit form -1 in negative

y' axis = - 5

E'(1,-5)

F(3, -2)

x axis = 3

y axis = -2

x' axis = 3

y' axis = distance from -2 to -1 = |-2 -(-1 )| = 1 unit

therefore, 1 unit form -1 in positive

y' axis = 0

F'(3, 0)

Hence, the image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .

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Related Questions

Simplify this equation 8x-4+6x+15

Answers

Answer:

14x + 11

Step-by-step explanation:

Collect all the like terms together.

Positive 8x and positive 6x both have an x so after adding them together you get 14x. Negative 4 and positive 15 are also like terms so after adding them together you get positive 11.

The final answer being 14x + 11

Answer:

14x + 11

Step-by-step explanation:

8x - 4 + 6x + 15 =

8x + 6x + 15 - 414x + 15 - 414x + 11

simplify this equation is 14x + 11

Cups cost x dollars each. Mugs cost (x + 2) dollars each. (a) Write down an expression, in terms of x, for the total cost of 12 cups and 6 mugs. ............................................................................... dollars (2) (b) The total cost of 12 cups and 6 mugs is 57 dolllars.
work out the cost of 1 cup

Answers

Answer:

a. [tex]18x + 12[/tex]

b. $2.50

Step-by-step explanation:

a. If there are 12 cups and 6 mugs, and one cup is x and 1 mug is x+2, then multiply to get 18x + 12

b. Use the previous equation 18x+12=57 to get your answer. First move the 12 over to change the 57 to a 45. Then divide 45/18 to get 2.50 as you answer.

What is the value of the expression below?
64^5/6
A) 10
B)56
C)32
D)2

Answers

This is basically the 6th root of 64 raised to the power of five. You can enter this directly into your calculator using the ^ icon.

The answer is c) 32
Your answer is C=2 please make me as brainliest

arlene begins a test with a possible total of 80 points. she loses 2 points every questions she answers incorrectly.

Answers

Answer: how many questions were incorrect? take that number and multiply it by 2. then subtract whatever u got from 80.

Step-by-step explanation:

2/5 part of the total number of students of a school are girls . If there are 240 boys, find the number of girls​

Answers

Answer:

160 girls

Step-by-step explanation:

2/5 = girls

3/5 = boys

3/5 = 240

to find 1

240/3

80

2/5 = 160

PLESE ANSWER NUMBER 8 ASAP !!!!!

Answers

Answer:

the first one

Step-by-step explanation:

a is the answer hope it helps

32/w=4/12 on proportions on get more math

Answers

Answer:

w=96

Step-by-step explanation:

4x8= 32 so 12x8= 96 therefor it is 32/96

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $74. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?

Answers

Answer:

5 days

Step-by-step explanation:

On 5 days the daily pass would cost $495 while the season past would cost $475.

help me pls pls pls

nonsense=report

nice answer=brainles

pls dont waste my point

Answers

Answer:

27: 4 m

28: 60,000 cm

29: 8 m

30: 12 m

31: 90,000

32: 56 m

33: 650,000

34: 45 m

35: 230,000

36: 24

Have a great day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

27. 4m²

28. 60 000cm²

29. 8m²

30. 12m²

31. 90 000cm²

32. 5.6m²

33. 650 000cm²

34. 45m²

35. 230 000cm²

36. 24m²

hope dis helps!!!!!

Which table and graphs represents functions?

Answers

Answer:

Top Left, and Bottom Left

Step-by-step explanation:

A function cannot have the same y value for different x value

What is the y-intercept for the equation y = 15x + 2?

Answers

Answer:

The y-intercept is +2

using y=mx+b we can tell anything added is the intercept.

+2

Step-by-step explanation:

We know the standard equation is

y = mx + c

where m is the slope and c is the y-intercept.

By Comparing the given equation with the standard equation we get,

y-intercept = +2

Hope it helps you!!

Dave wants to put a row of tiles in his kitchen.
The row has to be 3 m long.
Each tile is a square, with 25 cm sides.
How many tiles does he needs.

Answers

Answer:12 tiles will be needed.

Which relation is a function?

Answers

Answer:

A

Step-by-step explanation:

A is the only one that has points that get hit only once when performing the vertical line test. All others get hit more than once per line.

There are 14 boys and x girls in a class. One boy and one girl will be selected to represent the class on the student council.taylor says there are 152 different ways of chosing a boy and a gir l

Answers

I’m azoic get poopzoo with the. L me. Ni innovative just m
As a

If f(x) = x + 2 and g(x) = 3x +4, then (g°f)(x) = ?
A) 3x +6
B) 3x +10
C) 3x² + 6x +4
D) 3x² - 10x +6​

Answers

Answer:

B

Step-by-step explanation:

PLEASE FASTTTT
FIND X AND Y PLEASEEE

Answers

Answer:

y = 2

x = -3.5

Step-by-step explanation:

3y and (2x + 13) are same-side angles.

that means they are equal

(that's not the real term for it, I just forgot what it's called)

using that, you can make this equation:

3y = 2x + 13

3y - 13 = 2x

(3y - 13)/2 = x

(5y - 4) and 3y are vertical angles.

vertical angles are equal.

using this, you can make the following equation:

5y - 4 = 3y

5y - 3y - 4 = 0

5y - 3y = 4

2y = 4

y = 2

now, substitute y for 2 in the original equation.

(3y - 13)/2 = x

(6 - 13)/2 = x

-7/2 = x

-3.5 = x

Working alone, it takes Chelsea 13 hours
to tar a roof. Ashley can tar the same roof
in 9 hours. How long would it take them
if they worked together?

Answers

Answer:

24 hours

Step-by-step explanation:

hoped this helped

In the drawing below, QS bisects ZPQR,PO = 9 units, PS4 units, and RS-3 units.

What is OR in units?
O A 21
O B. 12
O C. 8
o D. 6 3/4

Answers

9514 1404 393

Answer:

  D.  6 3/4

Step-by-step explanation:

The angle bisector divides the sides proportionally:

  QR/PQ = RS/PS

  QR = PQ×RS/PS = 9×3/4

  QR = 6 3/4

Simplify 7 + (−3).
PLEASE HELP!

Answers

Answer:

7-3=

10

Step-by-step explanation:

The positive sign is replaced by the negative sign.

+ve × -ve = -ve

Help!!!
x ≥ 4 if and only if 3x ≥ 12.

Answers

Answer:  If 3x ≥ 12 then x ≥ 4 is true.

But x can be greater than or equal to 4 in other conditions:

4x ≥ 16

-3x ≤ -12

Step-by-step explanation:

A farmer needs to purchase a rainwater harvesting tank and is deciding on the shape. He needs a tank that can hold at least 90 cubic feet of water. Select all the tanks that have a capacity of at least 90 cubic feet.

Answers

Answer:

Tank A and Tank D

Step-by-step explanation:

Got it right

The tanks that have the capacity more than 90 cu.ft is Tank A and C.

What is Volume?

Volume is the amount of space occupied by a three dimensional object, it is represented in cubic units.

The volume of a Cylinder is given by

V = πr²h

The Volume of a Cone is given by

V= πr²h/3

The volume of the composite figure in Tank A and D,

Volume =  Volume of cylinder + Volume of Cone

Tank A :

Volume =  πr²h + πr²h/3

Volume = ( π * 2.5² * 4 ) + ( π *2.5² *2 )/3

Volume = 91.58 cu.ft

Tank B :

Volume =  πr²h/3

Volume =  π * 4² *5 /3

Volume = 83.7 cu.ft

Tank C

Volume = πr²h

Volume = π * 2² * 6

Volume = 75.36 cu.ft

Tank D:

Volume =  πr²h + πr²h/3

Volume = π * 3²*3 + π *3²* 3 /3

Volume = 113.04 cu.ft

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What is the length of PR?
A. 7
B. 8
C. 6
D. 9​

Answers

Answer:

C

Step-by-step explanation:

The triangles are similar by the AA postulate, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{AC}{PR}[/tex] , substitute values

[tex]\frac{20}{5}[/tex] = [tex]\frac{24}{PR}[/tex] ( cross- multiply )

20PR = 120 ( divide both sides by 20 )

PR = 6 → C

....Could you please HELP me....

Answers

Answer:

the answer is +4 because if you count it it is going up in fours

the diameter of a drum circle is 12 feet. what is the area of the drum

Answers

Answer:

37.68

Step-by-step explanation:

3.14 * 12 or 2(6 *3.14)

6 is the radius so you multiply by 2 and get 12. Multiply 12 by 3.14 to get 37.68

Find the slope of the line that passes through (5, –6) has a y-intercept of –16.

Answers

Answer:2 I think

Step-by-step explanation:

(5,-6) (0,-16) -16- -6/0-5 = -10/-5 = 2

17 divivded by 5214 answer

Answers

Answer:

0.0032604526275412351361718450326

Step-by-step explanation:

17 divided by 5214 is 0.0032604526275412351361718450326

Hope I helped :)

Please consider Brainliest :)

Answer:

306.705882353

Step-by-step explanation:

(asin θ-bcos θ)²=?​​

Answers

[tex](a\sin(\theta) - b\cos(\theta))^2\\= a^2\sin^2(\theta) - 2ab\sin(\theta)\cos(\theta) + b^2\cos^2(\theta)\\= a^2\sin^2(\theta) - ab\sin(2\theta) + b^2\cos^2(\theta)[/tex]

(x + 5)(5 + x)
is this a perfect square

Answers

Answer:

NO this isn't a perfect square

Step-by-step explanation:

Noooo not a perfect square

Find the solutions to the equation 102x 11 = (x 6)2 – 2. which values are approximate solutions to the equation? select two answers. –9.6 –7.4 –4.6 –2.4 0.6

Answers

The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadratic equation is given below.

102x + 11 = (x + 6)² – 2

Open square, we have

       102x + 11 = x² + 12x + 36 – 2

x² – 90x + 23 = 0

By the formula, we have  the value of x

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{90 \pm \sqrt{(-90)^2}-4*1*23}{2*1}\\\\x = 89.74, 0.256[/tex]

The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

A and D just did on edge

Step-by-step explanation:

1. R l : Z Y 2. R l : T Q 3. R l : B S 4. R m : S B 5. R l : F X 6. R l : S F

Answers

Answer:

look beloww

Step-by-step explanation:

could you please explain furture in a diffrent question so i can help?

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