Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)

Answers

Answer 1

Answer:

[tex]B' = (-2,-3)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,-4)[/tex]

[tex]B = (4,-6)[/tex]

[tex]C = (2,-1)[/tex]

reflection across y

[tex]d = \frac{1}{2}[/tex]

Required

New coordinate of B

When reflected across the y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex](4,-6) \to (-4,-6)[/tex]

Next is a dilation by 1/2

To do this, we multiply the new point by 1/2

So:

[tex]B' = (-4,-6) * \frac{1}{2}[/tex]

[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]

[tex]B' = (-2,-3)[/tex]


Related Questions

Which ordered pair comes from the table?
у
1
N
2
4
3
3
4
2

Answers

Answer:

A. (4,2)

Step-by-step explanation:

In coordinates, the x-value appears first then the y-value. This means coordinates are set up like, (x,y). So, to solve find the coordinates whose values match one pair of values on the table. Option A has x=4 and y=2. In the last row of the table, you can see the same values with x=4 and y=2. Therefore, A is correct.

Evaluate the expression for k = 2. –9 + 7k =

Answers

Answer:

k = 7/6

Step-by-step explanation:

Which comparison is true? Use the number line to help.

Answers

Answer:

I NEED A PICTURE!!!

Step-by-step explanation:

so i can answer

Write a congruence statement for the pair of triangles

Answers

C.
The others have sides that do not correspond.

In which quadrants would sine and cosine have the same sign (positive or negative)? Explain your answer.

Answers

The quadrants in which sin and cosine will have same sign are :

=》1st quadrant - both have positive values

=》3rd quadrant - both have negative values

The two-dot plots below show the number of miles run by 14 students at the beginning and end of the school year.

Answers

Answer:

Step-by-step explanation:

From the dot plot of start of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 5

Range of the data set = 10 - 5

                                    = 5 miles

From the dot plot of End of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 6

Range of the data set = 10 - 6

                                    = 4 miles

The range at the start of the year was 5 miles and the range at the end of the year was 4 miles.

HELP PLEASE!!! ILL GIVE BRAINLIEST!!!!!

Answers

Answer:

h= -128t

Step-by-step explanation:

- 16t+128t

-256t + 128

plsssss helpppp this is math: scientific notation

Answers

Answer: [tex]6[/tex] x [tex]10^{4}[/tex]

9.375 x [tex]10^{-23[/tex]

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I think it's D

Step-by-step explanation:

Answer:

I think it is C.

Step-by-step explanation:

I think it's C because the 2 is showing how long it took to get to the library.

When borrowing money from the bank, the amount of money originally borrowed is called the

Answers

Answer:principal. Amount of money originally borrowed in a loan. interest. Amount of money the borrower must pay for the use of someone else's money.

Step-by-step explanation:

Answer: The answer is principal

Step-by-step explanation:

It's in the definition of the word principal which means the amount f money originally deposited, borrowed, or loaned.

Please Help!!! What is x and do I find it?

Answers

X should be 8.917737906

I don’t know what you’re rounding to though, so round that as needed.

I will fail if i dont pass this test plzz help!!​

Answers

Answer:

i dont know if this will help but i searched it up and it and it gave me a graph, i felt bad so here

Step-by-step explanation:

HELP ASAP! Find x.
Round to the nearest tenth:

Answers

Answer:

answer is in the image. hope it helps.

Please help! A hat has the following marbles in it: 5 gray, 3 red, 6 white, 2 yellow and 4 green.

What is the probability of picking a gray marble, replacing the marble in the hat, and then picking a yellow marble?
NO LINKS!

Answers

Answer:

1/40

Step-by-step explanation:

Probability: (number of ways to achieve the desired result / number of possible results)

For example, if we want a coin to land on heads:

We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.

Using this, we know that there are 5 grey marbles (the desired result) and there are  (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:

5 / (5 + 3 + 6 + 2 + 4) =

5/20 =

1/4

We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10

To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.

1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.

what is the answer -4h=-14

Answers

The Answer Is H=3.5

have am amazing day <3

Answer:

[tex]h = \frac{7}{2} [/tex]

Step-by-step explanation:

1) Divide both sides by -4.

[tex]h = \frac{ - 14}{ - 4} [/tex]

2) Two negative makes a positive.

[tex]h = \frac{14}{4} [/tex]

3) Simplify 14/4 to 7/2.

[tex]h = \frac{7}{2} [/tex]

Therefor, the answer is 7/2.

Find the value of x.

Answers

Answer:

11

Step-by-step explanation:

All angles on a triangle equal 180. 80+60=140.

Now to solve for x, we set it to equal 40 for 180-140.

40=3x+7. 40-7=33

33=3x 33/3=11

x=11

Every triangle has to add up to 180 degrees. So if you already have 140 degrees, that’s what the 3x+7 has to add up to.

TIMED TEST PLEASE HELP!!!!! Explain how you got the answer as well!

Answers

Answer:

Step-by-step explanation:

Perimeter= all sides added together

so in this case

3x+1 = 2x + 2x + x-1 + x+2 + x-1 + x + 2

now you may be wondering why i put two 2x's, two 2+x, and two x-1  , the far left side is 2x and has 2 lines and so does the bottom side which has 2 lines so theyre congruent ( the same case for the 2+x and x-1 )  so you need to account for all sides.

so lets simplify this huge equation!

3x+1 = 4x + 1x - 1 + 1x + 2 + 1x - 1 + 1x + 2

3x+1 = 8x - 1 + 2 - 1 + 2

3x + 1 = 8x + 2

-3x on both sides

1 = 5x + 2

-2 on each side

-1 = 5x

x = -1/5

Polygon B is a scaled copy of Polygon A. What is the scale factor from A to B?

Answers

Answer:

scale factor = 2

Step-by-step explanation:

Determine the ratio of corresponding sides, image to original

scale factor = [tex]\frac{5}{2.5}[/tex] = 2

Answer:

2

Step-by-step explanation:

If one angle in Polygon A is 2.5

and one angle in polygon b is 5

5/2.5= 2

the answer is 2

Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot, how many tiles did he need?

Answers

Answer:

96 tiles

Step-by-step explanation:

The kitchen floor is rectangular on shape.

The dimensions of the kitchen floor were 8 feet by 12 feet.

Hence, Area of a rectangle = Length × Width

Length = 8ft

Width = 12ft

Hence:

Area = 8ft × 12ft

= 96 ft²

If each tile was 1 square foot, the number of tiles he would need is

1 ft² = 1 tile

96 ft² = x

Cross Multiply

1ft² × x = 96 ft² × 1 tile

x = 96 ft² × 1 tile/1 ft²

x = 96 tiles

Therefore, Mark's father would need 96 tiles

how do you factor y=6x^2-x-2

Answers

6 x -2 = -12

-12 = 3, -4

y = 6x^2 + 3x - 4x - 2

y = 3x(2x + 1) - 2(2x + 1)

(2x + 1) (3x - 2) = 0

2x = -1, 3x = 2

x = -1/2, 2/3

pls give brainliest im trying to level up :))

Answer:

(2x+1)(3x-2)

Step-by-step explanation:

Given :-

y = 6x² - x - 2

We need to factor out the given expression. For that we may use the middle term splitting method. Taking the equation,

[tex]:\implies[/tex] y = 6x² - x - 2

[tex]:\implies[/tex] y = 6x² - 4x + 3x-2

[tex]:\implies[/tex] y = 2x ( 3x -2) +1( 3x -2)

[tex]:\implies[/tex] y = (2x + 1)(3x -2 )

Hence the required answer is y = (2x+1)(3x-2)

What is the perimeter, in centimeters, of the figure
shown below?
2 cm
3 cm
5 cm
5 cm

Answers

Answer:

30 cm

Step-by-step explanation:

add all sides and use 7 for the bottom line because 5+2=7 and use 8 for the side because 5+3=8.

Which value cannot represent the probability of an event occurring?

options are:

0.01

2 over 85

62.5%

1.1

Answers

Answer:

1.1

Step-by-step explanation:

1 in probability means always so anything greater than 1 is meaningless

math plz help me due day its so close

Answers

Answer:803.84

Step-by-step explanation:

3.14 x (16^2) = 803.84.  

16^2 is 256 so multiply that by 3.14

please help me out. i needa turn it in by the ena the day. Ill mark you brainliest

Answers

Answer:

B

Step-by-step explanation:

Answer:

B   The rate of change is constant and represents the cyclist's speed of 1120 ft/min

Step-by-step explanation:

The difference is always 1120ft for each minute

factor the following expression 5x^5-3x^2-10x^3+6

Answers

Answer:hope this helps

Step-by-step explanation:

(x^2 - 2) (5 x^3 - 3)

(x (5 x^2 - 10) - 3) x^2 + 6

Polynomial discriminant:

Δ = -1772976600

Derivative:

d/dx(5 x^5 - 3 x^2 - 10 x^3 + 6) = x (25 x^3 - 30 x - 6)

Indefinite integral:

integral(6 - 3 x^2 - 10 x^3 + 5 x^5) dx = (5 x^6)/6 - (5 x^4)/2 - x^3 + 6 x + constant

Need help

need an ace

Answers

Answer:

[tex]36[\cos{127^\circ}+i\sin{127^\circ}][/tex]

Step-by-step explanation:

Polar form:  [tex]z=r(\cos(\theta)+i\sin(\theta)[/tex]

To multiply two complex numbers in polar form, multiply the r values and add the angles.

[tex]w_1w_2=36\left[\cos{(95^\circ+32^\circ)}+i\sin{(95^\circ+32^\circ)}\right]\\\\=36[\cos{127^\circ}+i\sin{127^\circ}][/tex]

Q2.
(a) Solve
f+ 2f + f = 20

Answers

Step-by-step explanation:

apskaičiuoti trikampių perimetrą?

f + 2f + f = 20
4f = 20
Divide both sides of the equation by 4
f = 5

If you could help it would be good

Answers

Answer:

What are you trying to solve?

Step-by-step explanation:

Answer:

16. length=4

18. length=7

Step-by-step explanation:

Formula = area=length x height

16. 44=11xL

44 divided by 11 equals 4

18. 49=7xL

49 divided by 7 equals 7

Help please I need it thanks

Answers

Answer:

Your answer is the first option, Lorenzo's icing will be darker!

Step-by-step explanation:

If they both added the same amount of yellow dye, than blue will determine how dark their icing is. Since Mariana added less blue, her dye will be lighter!

hep me please write an easy equation

Answers

Answer: 30 degrees

Step-by-step explanation:

90 - 60 = 30

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