Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then reflected across the y-axis to form segment F'G'.How many units long is segment F'G'?

Answers

Answer 1

Answer:

[tex]F'G' = 7[/tex]

Step-by-step explanation:

Given

[tex]F = (-2,4)[/tex]

[tex]G = (-2,-3)[/tex]

Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

TranslationReflection

The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

[tex]F'G' = FG[/tex]

Calculating FG, we have:

[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]

[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]

[tex]FG = \sqrt{0 + 49}[/tex]

[tex]FG = \sqrt{49}[/tex]

Take positive square root

[tex]FG = 7[/tex]

Recall that:

[tex]F'G' = FG[/tex]

[tex]F'G' = 7[/tex]


Related Questions

Please help I can’t fail

Answers

Answer:

B

Step-by-step explanation:

line b is the closest to all the points on the graph

Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4

A = ?

Answers

Answer:

To the nearest cent, the accumulated amount over the 10 years is $5,752.67

Step-by-step explanation:

Here, we want to use the given formula to find the accumulated amount on the deposit/investment

we have this as follows;

A = P(1 + r/k)^kt

P is the amount invested which is the principal = $3,500

r is the interest rate = 5% = 5/100 = 0.05

k is the number of times interest is compounded yearly = 4

t is the number of years = 10

Substituting these values in the formula, we have;

A = 3500(1 + 0.05/4)^(4 * 10)

A = 3500 (1 + 0.0125)^40

A = 3500(1.0125)^40

A = $5,752.67

A bottle of cough syrup has
300 mL. If you take 5-mL
spoonfuls 3 times a day, how
many days will the cough syrup
last?

Answers

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Find the volume of this square
based pyramid.
5ft
6 fi

Answers

Answer:

60ft

Step-by-step explanation:

I am here to help the people. You will never hear from me again, but know this, I will always be there to help strangers on the internet. Have a blessed life, you got this.

X = 60ft

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y

Answers

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

The answer is 19

4(4) + 3(2) - 3

16 + 6 - 3

22 - 3

19

If AABC = APQR, then
AB =
Help please

Answers

Answer:

PQ should be the answer

Step-by-step explanation:

quick help plzz!!!!!!!

Answers

It is B I’m pretty sure

Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it?
(A)7/36
(B)1/5
(C)11/36
(D)1/6

Answers

Answer:

1/6

Step-by-step explanation:

There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6

The solution is,  the probability that the result will have at least one two in it is, 1/6.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Two six-sided number cubes are rolled at the same time.

so, we get,

There are 12 numbers in total.

There is a 2 on each cube so there are two possible chance.

2/12=1/6

2/2=1

and 12/2=6

now, we have,

therefore 2/12=1/6.

Hence, The solution is,  the probability that the result will have at least one two in it is, 1/6.

To learn more on probability click:

brainly.com/question/11234923

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What is the measure of an angle that is 3/6 of a circle?

Answers

Answer:

180 degrees

Step-by-step explanation:

A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!

Classify the following polynomial by the degree and number of terms.
2x3+3x2-5x+20 I will give brainliest for correct answer

Answers

Answer:

Number of terms classification: Occasionally a quadrinomial.

Degree classification: 3rd degree

Step-by-step explanation:

There are four terms hence the name, quadrinomial.

The highest exponent is 3, so it is to the third degree

Solve for x to the nearest 10th.
410 = 1080(0.915)^x

Answers

Answer:

410/1080=(0.915)^x

0.379=(0.915)^x

ln0. 379/ln0.915=x

X=10.903

PLEASE HELP ASAPPPP!!!!!!!!

Answers

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

Simplify the quotient

7^8 / 7^3

Answers

Answer:

D) 7⁵

Step-by-step explanation:

1) Use Quotient rule: x^a/x^b = x^a-b.

[tex] {7}^{8 - 3} [/tex]

2) Simplify 8 - 3 to 5.

[tex] {7}^{5} [/tex]

3) Simplify.

[tex]16807[/tex]

The answer is option D. 7⁵.

For which value of is the following number undefined


x - 3 / x + 4

Answers

Answer:4x - 2 = 3x + 1

Step-by-step explanation: shooooooooo papi

Answer:

x = - 4

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 4 = 0 ⇒ x = - 4

Thus x = - 4 is the excluded value

pls answerrrrrr<3333

Answers

Answer:

[tex](x+6)(x+10)[/tex]

Step-by-step explanation:

Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]

Factor out x from [tex]x2+6x: x(x+6)[/tex]

Factor out 10 from [tex]10x+60: 10(x+6)[/tex]

[tex]=x(x+6)+10(x+6)[/tex]

A figure is shown.

What is the value of m?
___ degrees

Answers

Answer:

58°

Step-by-step explanation:

Good luck , hope it helped you :)

Answer:

58 degrees

Step-by-step explanation:

Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.

180-126=54

180-112=68

54+68=122

180-122=58

m=58 degrees

Hope this helps :)

how do this math problem?
of shaded region shapes

question 2)
find the area of each shape.
All measurements are in centimetres.

and please explain me to how to do this cuz I don't understand my teacher in maths​

Answers

Answer:

photo isn't clear, first of all u have to click clear picture

which table shows the relationship y=k/x where k is a real number

Answers

Answer:

the answer is 1/5 because y/x gives you k

Step-by-step explanation:

Simplify, give answer in exponential form: 3^9 x 3^4

Answers

Answer:

In exponential form, the correct answer is [tex]3^{13}[/tex].

Step-by-step explanation:

When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].

Can anyone help me with 6? Please

Answers

Answer:   (2)

Step-by-step explanation:  y=18(0.75)  0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.

I need help with this i don’t understand this

Answers

Answer:

13.<CAF = 145

14.<ABC = 50

15.<KCJ = 95

16.<ABG = 130

17.<BCJ = 85

18.<CAB = 35

19.<x =60

20.<y =120

21.<z = 133

22.<w = 47

23.<m = 128

24.<p = 52

Step-by-step explanation:

It just looking at the vertically opposite angle to find the exact angle.

Ex. <CAF = <BAD

FREE PTS! If you were to go to any dream reality, where would you go? ​

Answers

Answer:

I would be in vampire diaries world bc why not

Answer:

I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.

Step-by-step explanation:

2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft

Answers

Answer:

Area = 559.17 sq ft

Step-by-step explanation:

Area (rectangle) = 18 x 24 = 432

Area (semi-circle = πr²÷2 = 81π/2 = 127.17

help plz!
lines a and b are parallel m∠4=

Answers

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

What is an alternate angle?

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

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answer this qustion plz and if get right i might give you brainlist

Answers

Answer:

A

Step-by-step explanation:

SO right off the bat it cannot be c, for they do definatly change.

Next, lets find out how much they change by.

The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.

This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.

Now, the mean is already 500/4. This equals 125.

So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.

That is 500/5. This equals 100.

This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25

That is 5x more of a decrease than the mean.

SO it must be A, since the mean decreased more than the median.

The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.

Answers

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)

Which one should I choose?

Answers

Answer:

∠ 1 = 58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle, then

∠ 1 + 59° = 117° ( subtract 59° from both sides )

∠ 1 = 58°

Please help me I have 10 minutes no scams I’m in 7th grade

Answers

Answer:

The answer is 37

Step-by-step explanation:

180- 143= 37

Please, multiply the following Algebric sum.........
3ab+2bc, 5bc

Answers

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

Oliver found a list of the number of roller coasters at each amusement park in the state. ​11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?

Answers

the median to your question is 29.5

Answer:

29.5

Step-by-step explanation:

Order from least to greatest

11, 17, 17, 19, 28, 31, 40, 44, 45, 49

Then find the middle number which is 28 and 31 so add the two numbers

28 + 31 = 59

then

59 divided by 2 = 29.5

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