Reflect triangle ABC across the line x = 2. Then the reflect (image) A' B' C' across the line x = -3.

Reflect Triangle ABC Across The Line X = 2. Then The Reflect (image) A' B' C' Across The Line X = -3.

Answers

Answer 1

Answer:

1. ΔA'B'C' = A' = (1, 1), B'(-1, 1), and C'(1, 4)

2. ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)

Step-by-step explanation:

1. The coordinates of the triangle ΔABC are; A(3, 1), B(5, 1), and C(3, 4)

The reflection of a line across the line x = 2, is given as follows

The distance between the x-coordinate of the preimage and the line of reflection which is parallel to the x-axis = The distance of the x-coordinate of the preimage from the line of reflection but opposite in sign

The distance from A(3, 1) from x = 2 is 3 - 2 = 1, therefore, the x-coordinate of the image, A' = 2 - 1 = 1, therefore, we have;

The coordinate of A' = (1, 1)

Similarly, we have; B(5, 1) (reflection across x = 2) → B'(-1, 1)

C(3, 4) (reflection across x = 2) → C'(1, 4)

Therefore when we reflect ABC across the line x = 2, we get ΔA'B'C', with A' = (1, 1), B'(-1, 1), and C'(1, 4)

2. Reflection of A'B'C' across the line x = -3, gives;

A'(1, 1) (reflection across x = -3) → A''(-7 1)

B'(-1, 1) (reflection across x = -3) → B''(-15 1)

C'(1, 4) (reflection across x = -3) → C''(-7, 4)

The coordinates of the reflection of ΔA'B'C' across the line x = -3 is ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)


Related Questions

What is the explicit formula for the geometric sequence with this recursive formula

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]

Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?

Answers

Answer:

Step-by-step explanation:

Victoria used : 170 g of butter for 250 g of flour.

So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.

Victoria's daughter used: 340 g butter for 400 g flour

So, 1 g of flour requires =  340/400 g of butter = 0.85 g of butter

Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.

Help me to do this question plz plz plz ​

Answers

Answer:

Unknown

Step-by-step explanation:

You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13

How many units the function y = |x - 8| is translated from the parent function?

Answers

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

Write an equation for the line that passes through (-5, 4) and (-4, 2).

Answers

Answer:

y = - 2x - 6

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 ) = (- 5, 4) and (x₂, y₂ ) = (- 4, 2)

m = [tex]\frac{2-4}{-4-(-5)}[/tex] = [tex]\frac{-2}{-4+5}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ) , then

2 = 8 + c ⇒ c = 2 - 8 = - 6

y = - 2x - 6 ← equation of line

What is the fraction called that is used to convert one unit to another?

Answers

Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

1
What is the domain of F(x) =
1/x

Answers

Answer:

6557659

Step-by-step explanation:

tdycdu76rfvuiyt67gbvvbfutre7juitgvytx

Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …

Answers

Answer:

a) 2, 4, 3, 6, 5, 10, 9, 16, ...

Step-by-step explanation:

ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?

Answers

Answer:

They sold 162 vanilla cones.

Step-by-step explanation:

429-105=324

324/2=162

162+105=267 (chocolate)

267(chocolate)+162(vanilla)=429(total)

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle

Answers

The question is incomplete. The complete question is :

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a  purple colored rhombus is in the middle, as shown in the given figure.

Based on this picture of the school flag, answer the following questions:  

(a) What fraction of the flag has the purple rhombus?

Solution :

From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks

The purple colored rhombus is made on the half of the 4 blocks.

i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]

Therefore, the fraction of the flag that has the purple rhombus is :

[tex]$=\frac{2}{24}$[/tex]

[tex]$=\frac{1}{12}$[/tex]

Sophie Ruth is eating a
50
5050-gram chocolate bar which contains
30
%
30%30, percent cocoa.
How many grams of cocoa are in the chocolate bar?

grams

Answers

Answer:

15 grams

Step-by-step explanation:

There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.

Therefore, there are 15 grams of cocoa in the chocolate bar.

I hope this helps.

Download guathmath and put it my code please it's an app with tutors it's faster! WFHUZJ

Answers

Answer: Advertisement?

Do I need an explanation? : Y e s  I  d o

The 4 answer it gives

X=-3

X=-1

X=1

X=3

Answers

Answer:

x=3

Step-by-step explanation:

If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.

Can someone help me I don't understand

Answers

Step-by-step explanation:

Hey there!

From the above right angled triangle ABC;

Taking Angle ABC as reference angle;

Angle ABC = ???

Perpendicular (p) = AC = 15

Base (b) = AB = 47

Now;

Taking ratio of sin;

[tex] \tan( \alpha ) = \frac{p}{b} [/tex]

Keep value;

[tex] \tan( \alpha ) = \frac{15}{47} [/tex]

Simplify it;

[tex] \tan( \alpha ) = 0.3191489[/tex]

Take tan to next side;

Angle ABC (alpha) = tan'(0.3191489)

Therefore, the measure of angle ABC is 17.70°.

Hope it helps!

Can someone help me out

Answers

Answer: [tex]V=3369.3ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (9.3)^3\\V=3369.3ft^3[/tex]

The equation for volume of a sphere is....

4/3(pi)(r^3)

r is just radius, and pi is 3.14....

9.3=r

4/3(pi)((9.3)^3)= 3,479.14 ft^3

a box has a length of 6x inches. the width equals one third the length, and the height equals half the length. if the volume equals 972 cubic inches, what does x equal?

Answers

a box has a length of 6x inches

l=6x

the width equals one third the length

w=[tex]\sf{\dfrac{1}{3}×6x }[/tex]

w=2x

the height equals half the length.

h=[tex]\sf{\dfrac{1}{2}×6x }[/tex]

h=3x

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

l×w×h=volume

6x × 3x × 2x=972

36x^3=972 cubic unit

x=972/36

x=27

Therefore:-

The value of x is 27

Given that,

a box has a length of 6x inches

so,

l=6x

But,the width equals one third the length

[tex]w=\dfrac{1}{3}×6x \\\\w=2x [/tex]

again,the height equals half the length.

[tex]h=\dfrac{1}{2}×6x \\\\h=3x[/tex]

we knows:-

Volume of a rectangle box=l×b×h

From the question,

if the volume equals 972 cubic inches,

l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27.

Final solution:

.°.The value of x is 27.

. State the length of the missing side. Note: This quadrilateral is a parallelogram.

Answers

7.7

Step-by-step explanation:

In a parallelogram opposite sides are congruent.

The length of the missing side TQ in the parallelogram is 7.7.

Here, we have, from given figure that, SRQT is a parallelogram.

now, we have,

To find the length of the missing side TQ in the parallelogram,

we can use the properties of a parallelogram.

In a parallelogram, opposite sides are equal in length.

Therefore, we can determine the length of TQ by finding the length of its opposite side, SR.

Given that SR = 7.7,

we know that TQ must also have a length of 7.7.

So, we get,

the length of the missing side TQ in the parallelogram is 7.7.

To learn more on parallelogram click:

brainly.com/question/6166074

#SPJ4

Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9

Answers

Answer:

Additive property

Step-by-step explanation:

Given

[tex]x - 5 = -14[/tex]

Required

The property used

In the 2nd step, 5 was added to both sides, i.e.

[tex]x - 5+5 = -14 + 5[/tex]

The above is an illustration of additive property of equality, i.e. Adding or subtracting the same variable or constant to both sides of an equation

The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student is in music/drama:
Grado
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Music/Drama) = [?]
Round to the nearest hundredth.
Please HELP MEEE!!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

Firstly, we need to get the total number of students on the table

We have this as;

20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100

Now, we sum up the values we have in the music/Drama column

We have this as;

7 + 13 + 5 = 25

so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number

That would be

25/100 = 1/4

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

WILL GIVE BRANLIEST

Answers

Solution :

Amount of money Victoria has = $200

The amount modelled by function = h(x) = 200

According to the function,

s(x) = (1.05)x - 1

It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.

The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]

Exponential functions

THe standrd exponential function is exprressed as:

y = a(1±r)^t

Given the following parameters

h(x) = a = 200

s(x) = [tex](1.05)^{x-1}[/tex]

Combining both expressions will given 200 [tex](1.05)^{x-1}[/tex]

Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]

Learn more on exponential function here: https://brainly.com/question/12940982

Find the equation of the line:

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

What is the order of rotational symmetry for the figure?

Answers

Answer:

it should be 3

Step-by-step explanation:

I hope this help

y = -4(x + 6)(x - 8)
How do you write this in standard form?

Answers

Answer:

[tex]y = -4x^2 + 8x + 192[/tex]

Step-by-step explanation:

Hi there!

Standard form: [tex]y=ax^2+bx+c[/tex]

[tex]y = -4(x + 6)(x - 8)[/tex]

Use the distributive property to multiply (x+6) and (x-8)

[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]

Multiply the parentheses by -4

[tex]y = -4x^2 + 8x + 192[/tex]

I hope this helps!

A force of 9 lb is required to hold ​35lb crate on a hill. What angle does the hill make with the​ horizontal?

Answers

Answer: [tex]14.9^{\circ}[/tex]

Step-by-step explanation:

Given

Applied force is 9 lb to hold of 35 lb crate on a hill

Suppose the hill makes an angle of [tex]\theta[/tex] with horizontal

There will be two component of weights i.e. along and perpendicular to the hill

Only the component along the hill pulls the crate backwards

So,

[tex]\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}[/tex]

Match the number with its opposite -5.4

Answers

5.4 is the answer. The opposite of a negative is a positive and vice versa

PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS

Answers

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w)

l = 14 and w = 18

P = 2(14+18)

P = 2( 32)

P = 64 meters

Perimeter of rectangle = 2 ( L + B )

L represents length of rectangle.

B represents breadth of rectangle.

So ,

L = 14 meters

B = 18 meters

Now , Substuting the values

Perimeter of rectangle = 2 ( 14 + 18 )

Perimeter of rectangle = 2 ( 32 )

Perimeter of rectangle = 64 meters.

which of the following is not a rational number
A.2
B.-3
C.0.5​

Answers

they are all rational..

What are the slope of the y intercept of the line represented by the points shown on the table

Answers

The Y intercept is where the function passes/ intercepts the y axis. On a table, it is where x is 0, in this case the y intercept is -20. The slope is found by change in y over change in x. So choose any two coordinates to find change. 10/5=2. So your answer is A.

Identify the slope and y-intercept in the line y=3/4 x - 3



m=

b=

Answers

Answer:

The slope is 3/4 and the y intercept is -3

Step-by-step explanation:

y=3/4 x - 3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3/4 and the y intercept is -3

Answer:

[tex]{ \bf{slope = \frac{3}{4} }} \\ \\ { \bf{y - intercept : - 3}}[/tex]

Step-by-step explanation:

General equation of line:

[tex]{ \bf{y = mx + b}}[/tex]

Slope is m and y-intercept is b:

[tex]{ \tt{y = \frac{3}{4}x - 3 }}[/tex]

Slope= ¾

y-intercept = -3

A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.

Answers

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= [tex]P(6 \ males)+ P(7 \ males)[/tex]

= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]

= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]

= [tex]\frac{16870425}{30421755}[/tex]

= [tex]0.5545[/tex]

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