What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )

Answers

Answer 1

Answer:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,1)[/tex]        [tex]B =(2,3)[/tex]

[tex]C = (4,3)[/tex]        [tex]D = (5,1)[/tex]

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

[tex](x,y)=>(-x,y)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]

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

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]

When a point is translated 2 units down, the rule is:

[tex](x,y) => (x,y-2)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]

So, the new coordinates are:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]


Related Questions

What number is between 7.5 and 8

Answers

Answer:

7.75

Step-by-step explanation:

7.5+8=15.5

15.5/2=7.75

how many miles is bowman from stonecrest ga.
a.1 hr 48 min
b.17 min
c.46 min
d.none of the above

Answers

A i’m pretty sure lmk if it’s right

Urgent!!!

set whether each of the following equations represents a growth or decay


1. f(x)= 3[tex]^{x}[/tex]


2.f(x) = (0.25)[tex]x^{x}[/tex]


3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]


4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]

Answers

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

The snowfall for each day of a school week was: 3 inches, 1 inch, 1 inch, 7 inches, and 3 inches. Lisa said that the mean snowfall could be found by adding 3+1+7 inches, and then dividing by 5. Was she correct? Explain.

Answers

No bc Lisa didn’t add all of the numbers together. When finding the mean you add all numbers together then divide by how many numbers you have.

NEED HELP FRERE BRAINLIST

Answers

Answer:

7.5

Step-by-step explanation:

[tex]a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5[/tex]

After paying $3 for a sandwhich, Trevor has $9. How much money did he have before buying the sandwitch

Answers

Answer:

12 dollars

Step-by-step explanation:

9+3

The answer is 12 because of the following reason
If you ad 3 to 9 dollars it will equal 12

If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)​

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Division sum:
12 ➗ 2 =
100 ➗ 1 =

Answers

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?

a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00

Answers

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. =  (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel  pad, m₁ = ρ × V₁

∴ The mass of the steel  pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750

please help i suck at math and I am in class ​

Answers

Answer:84.84m^2

Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.

Step-by-step explanation:

This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.

1. All numbers in scientific notation must be a number between _1__ and __10__ multiplied by a power of ____.

Pleaseeeeeeeeee help me i don't know this :'(

I will give you extra points if u get it rights <3

Answers

Answer:

All numbers in scientific notation must be a number between 1 and 10 multiplied by a power of 10.

Step-by-step explanation:

Hope this helps, reach out to me if you have any more questions!

3√x^2
I need to write this as a fractional exponent.​

Answers

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

1. Express the function
f(x) = 2x² - 4x -13 in the the form
f(x) =a(x + h)² + k.​

Answers

Here is my answer. I hope this is helpful.

Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?

Answers

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

6 members each swam 1,685 meters during the season; how many total kilometers did the 6 members swim during the season

Answers

Answer:

10.110 km

Step-by-step explanation:

1000 meter = 1 kilometre

Since we are to provide the answer in kilometres, we have to convert the meters to kilometres

1685 m = 1685/1000 = 1.685km

Total kilometres swan by the 6 members =  1.685km x 6 = 10.110 km

Method 2

1.685km +  1.685km +  1.685km +  1.685km +  1.685km +  1.685km = 10.110km

6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

I a) Yes
b) No

Answers

Answer:

No

Step-by-step explanation:

the sum of the two shorter sides must be greater than the longer side

(not even if it is equal to, as in this case)

Here are some formulas to see if 3 sides can make a triangle...

[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]

So a=3

b=5 and c=8

3+5=8

So no it can't.

please help______________​

Answers

Answer:

49 cm squared. Find the area of all then add.

Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.

Answers

Answer: 2

Step-by-step explanation:

Given

In a litter of 10 Puppies, 4 are black i.e.

[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]

In a litter of 5, there would be

[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]

There are 2 black puppies

Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?

A 0.21%

B 21%

C 22%

D 27%

Answers

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

if you could give the answer without explanation it would be greatly appreciated​

Answers

Answer:

i think its (4, -6)

Step-by-step explanation:

Find the area of the composite figure.

A. 51 m2

B. 81 m2

C. 102 m2

D. 420 m2

Answers

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?

Answers

Answer:

314.2 cm²

Step-by-step explanation:

The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm

So, A = πd²/4

substituting the value of d into the equation, we have

A = π(20 cm)²/4

A = π400 cm²/4

A = 100π cm²

A = 314.16 cm²

A ≅ 314.2 cm²

Answer:

100pi

Step-by-step explanation:

here is another one .

Answers

Answer:

18

Step-by-step explanation:

18/45 is equal to 40/100

I just divided 100 by 45 to find how much they multiplied the original fraction by to get 40/100

then I divided 40 by the number I got from the last equation and got 18

hope this helps chu <3

Solve for x in the diagram below.
120°
3xº
21
X =

Answers

Answer:

x = 40

Step-by-step explanation:

[tex]3x \degree = 120 \degree \\(vertical \: \angle s) \\ \\ x \degree = \frac{120 \degree}{3} \\ \\ x \degree = 40 \degree\\ \\ x = 40[/tex]

Given f(x) = -10x + 11, find f(22)

Answers

Answer:

-209

Step-by-step explanation:

-10*(22)+11

-220+11

-209

Answer:     -209

Step-by-step explanation:

f(22)=-10(22)+11

f(22)=-220+11

f(22)=-209

Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!

Answers

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

the answer is 60 degrees

What is a positive data set on a graph?

Answers

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

Between which two points can you draw a line with a negative slope? Pls answer quick

Answers

Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

Evaluate the expression

2s + t = ? When s = 9 and t = 7

Answers

Answer:

2 (9) + 7 = 25

Step-by-step explanation:

Help!
Solve for the vaule(s) of b: b- 4.3 > 16.1​

Answers

Answer:

b>20.4

Step-by-step explanation:

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