The vertices of AABC are A(-3,4), B( - 2,4), and C(-5,2). If AABC is reflected across the line
y = - 2 to produce the image AA'B'C', find the coordinates of the vertex B'.
The coordinates of B' after a reflection across the line y = - 2 are

Answers

Answer 1

The coordinates of the vertex B is the distances of the preimage and the image from the line of reflection are equal.

What is vertices?

A vertex is a location in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.

The coordinates of C' after a reflection across the line y = 1 are (-3, -1)

The reason the above value is correct is as follows:

The given vertices of the ΔABC are; A(-3,4), B( - 2,4), and C(-5,2)

The line of reflection to produce the image ΔA'B'C' is the line y = 1

To find the coordinates of C' after a reflection across the line y = 1

Let (x, y) represent the coordinate of the point C

x-coordinate value:

The line y = 1 is parallel to the x-axis, therefore, the x-value will remain the same following a reflection across the x-axis

Taking the point C' as the image of the corresponding point C(-3, 3), we have that the x-coordinate of the point C' is also -3

x = -3

y-coordinate value:

The difference between the coordinate of the preimage and the reflecting line is the same as the difference between the reflecting line and the coordinates of the image

The y-value distance of the point C(-3, 3), from the line y = 1 is 3 - 1 = 2

Therefore, the y-value  distance of C' from the reflecting line is given as follows;

1 - y = 2

y = 1 - 2 = -1

y = -1

Therefore, the coordinates of the point C' is (x, y) = (-3, -1)

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Related Questions

graph the line with the equation y = 2/3x + 1

Answers

Answer:

line will go through 1 on the y-axis and -1.5 on the x-axis

hey what's
[tex] \sqrt{169} \times 2[/tex]

Answers

Answer:

the square root of 169 is 13 then ×2

26

I hope I am correct mate

enjoy your day

#Captainpower

13 and the square root of 2

Julie says the most amount of time spent on homework is 1 1\2 times the least amount of time spent on homework

Answers

Data for the question :

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Answer:

Julie is Incorrect

Step-by-step explanation:

Given the data:

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

The least amount of time spent is : 1

The most amount of time spent is 3 3/4

According to Julie ; the most amount of time spent is equal to 1 1/2 the least amount of time spent.

That is,

3 3/4 = 1 * 1 1/2

3 3/4 = 15/4

1 * 3/2 = 3/2

Hence, she is incorrect ;

15/4 ≠ 3/2

Find the value of x. Round to
the nearest tenth.
27°
15
х
11
x = [?]°
Law of Sines: sin A
sin B.
b
sin C
a
С
Enter

Answers

Answer:

38.2

Step-by-step explanation:

The value of x will be;

⇒ x = 37.6°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In a triangle;

⇒ ∠ A = 27°, ∠ B = x

⇒ Side (a) = 11, Side (b) = 15

Now,

The sine rule of triangle is,

⇒ sin A / a = sin B / b = sin C / c

Substitute all the values, we get;

⇒ sin 27° / 11 = sin x / 15

⇒ 0.45 / 11 = sin x / 15

⇒ sin x = 0.45 × 15 / 11

⇒ sin x = 0.61

⇒ x = sin ⁻¹ 0.61

⇒ x = 37.6°

Thus, The value of x = 37.6°

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-12=4f-24

Solve for f

Answers

Answer: f=3

Step-by-step explanation:

Oliva buys 6 packs of muffins. She uses a coupon and saves 3$ off the total. which expression represents her total cost?
A. 6m - 3
B. 6 + 3
C. 6 - 3m
D. 6m + 3​

Answers

Answer:

A. 6m - 3

Step-by-step explanation:

6m represents finding the total cost for the 6 packs of muffins.

When you use PEMDAS or GEMDAS (whichever you know better), they both make you solve 6m first which means you subtract $3 after you find the total amount for the packs of muffins.

After you figure that out, you subtract the $3 from the total since it's a coupon and will save you $3 instead of adding it to the total price.

hope this makes sense and help :)

Answer:

A. 6m - 3

Step-by-step explanation:

Saving 3 dollars off of a coupon lowers the price therefore making it subtraction. 6m is the amount of the muffins cost, m being the unknown price of each muffin.

For what values of x:
Is the trinomial x^2−11x+31 equal to 1?
are the values of the polynomials x^2−5x−3 and 2x−5 equal?
Is the binomial 7x+1 equal to the trinomial 3x^2−2x+1?
Is the trinomial −2x^2+5x+6 equal to the binomial 4x^2+5x?

Answers

Answer:

A) x = 5 or x = 6

B) x = 0.298 or 6.702

C) x = 3

D) x = ±1

Step-by-step explanation:

A) Values of x for which;

x² − 11x + 31 = 1

x² - 11x + 30 = 0

Using quadratic formula, we have;

x = 5 and x = 6

B) Values of x for which;

x² − 5x − 3 = 2x − 5

x² − 5x - 2x - 3 + 5 = 0

x² - 7x + 2 = 0

Using quadratic formula, we have;

x = 0.298 or 6.702

C) Values of x for which;

7x + 1 = 3x² − 2x + 1

3x² - 2x - 7x + 1 - 1 = 0

3x² - 9x = 0

3x² = 9x

Divide both sides by 3x to get;

x = 3

D) Values of x for which;

−2x² + 5x + 6 = 4x² + 5x

Rearranging, we have;

4x² + 2x² + 5x - 5x - 6 = 0

6x² - 6 = 0

x² = 6/6

x² = 1

x = √1

x = ±1

The values of [tex]x[/tex] for the given situations would be as follows:

A). [tex]x = 5[/tex] or [tex]x = 6[/tex].

B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]

C). [tex]x = 3[/tex]

D). [tex]x =[/tex] ±[tex]1[/tex]

Find the value of x

a). [tex]x^2 - 11x + 31 = 1[/tex]

⇒ [tex]x^2 - 11x + 30 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Considering

a = 1

b = -11

c = 30

⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]

Now,

[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]

Thus, the values for which the given trinomial would be equivalent to 1 would be:

∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]

b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]

⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]

⇒ [tex]x^2 - 7x + 2 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:

∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]

c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]

⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]

⇒ [tex]3x^2 - 9x = 0[/tex]

⇒ [tex]3x^2 = 9x[/tex]

by dividing both the sides by [tex]3x[/tex] to receive;

Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:

∵ [tex]x = 3[/tex]

d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]

by arranging them again, we get;

[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]

⇒ [tex]6x^2 - 6 = 0[/tex]

⇒ [tex]x^2 = 6/6[/tex]

The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:

∵  [tex]x =[/tex] ±[tex]1[/tex]

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Please please help I’m failing quadrilateral EFGH has vertices at e (10,4) f (16,4) g (16,10) and h (10,10).
Based on the properties of the diagonals is quadrilateral EFGH a rectangle rhombus or square use the distance and slope formulas to prove your conclusion show your work.

Answers

Answer:

It's a square; vertice f is 6 units to the right of vertice e and g is 6 units above f, and h is 6 units to the left of g. This means there are four sides of equal length, with equal angles.

do you need more than that?

Find the length of the altitude of triangle PQR. Round to the nearest tenth


Answers

So, I gotta answer this cause I gotta get atleast 20 characters in even though someone below me will answer eventually, good luck on work tho

25% of the tickets sold at a water park were child tickets. If the park sold 92 tickets in all,
how many child tickets did it sell?

Answers

45 ggdj fdujbvhhfffhikp
25% de 92 est égale à 92x(25/100)=23 25% de 92 est donc égale à 23, voilà bon courage :•) !!!

This is turned in tomorrow and i the teachers don’t explain anything please help I really need help.

Answers

Answer:

?

Step-by-step explanation:

DESPERATELY NEED HELP I WILL GIVE BRIANLYNESTTT

Answers

Answer:

7

Step-by-step explanation:

its 7

Answer:

slope Formula = y^2-y^1/x^2+x^1

Step-by-step explanation:

now,

[tex]10 - 3 \div 6 - 5 [/tex]

[tex]7 \div 1[/tex]

[tex] = 7[/tex]

Carrie needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile.
If Carrie has $12.52 and she finds a cab company with the same flat fee that only charges $0.45 per mile, what is the maximum number of miles she will be able
to travel, to the nearest tenth of a mile?
what is the equation?

Answers

Answer:
Maximum distance covered by Carrie = 22.8 miles
Step-by-step explanation:
The cab company charges a flat fee of $2.25 plus $0.55 per mile.
Amount of money Carrie has = $y
Let the number of miles traveled in $y = x miles
If Carrie finds a cab charging same fee and $0.45 per mile,
y ≤ 2.25 + 0.45x
y - 2.25 ≤ 0.45x

Therefore, inequality representing the maximum distance covered by Carrie,

If, y = $12.52

x ≤ 22.8 miles
Therefore, Carrie will be able to travel the maximum distance = 22.8 miles.

The maximum number of miles she will be able  to travel, to the nearest tenth of a mile is less than or equals to 22.8 miles.

She needs to take a cab and has y dollars. The company charges a flat rate of $2.25 plus $0.55 per mile. Therefore the equation will be

y = 2.25 + 0.55x

where

x = number of miles travelled.

Now she has $12.52 and she finds a cab company with the same flat rate and only charges $0.45 per mile. The maximum number of miles she will be able to travel to the nearest tenth of mile can be calculated below:

2.25 + 0.45x ≤ 12.52

x = number of miles travelled.

0.45x ≤ 12.52 - 2.25

x ≤ 10.27 / 0.45

x ≤ 22.8222222222

x ≤ 22.8 miles

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pls anwser (1) this is math look at the pic

Answers

the answer is -3 for the problem

What is the radius of this circle?

Answers

The radius of the circle is 3

the radius of the circle is 3

What's the radical of the expression

Answers

Answer:

√16 or 4

hope this helps!

1) The diameter of a pizza is 14 inches. What is the circumference of the
pizza? Use 22/7 for pi.

Answers

12.23  i dont know what the awnswer is bu hahahah

I NEED HELP ASAP!!!!!!

Answers

Answer:

83.3%

Step-by-step explanation:

The probability of rolling a 3 on a 6-sided dice is 1/6

Since you don't want a three, there's a 5/6 chance of not rolling a 3

5/6 (use calculator and divede 5 by 6) = 0.833333 (move decimal 2 to the right) = 83.3%

Therefore, the most reasonable answer would be C, 83.3%

Find -2 - -0.7 model the expression on the number line by drawing an arrow

Answers

Answer:

-1.3

Step-by-step explanation:

number line will go all the way to the left and then 7 to the right. which is -1.3

The value of -2 - -7 as modelled in the attached image is; -1.3

According to the question;

We are required to model the expression on the number line by drawing an arrow.

The number line model given can be used to evaluate -2 - -0.7 by simply finding the distance between -2 and -0.7 as in the attached image.

Ultimately, the value of -2 - -0.7 is; -1.3

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Which expression has a negative value?

Answers

Answer:

A

Step-by-step explanation:

If you add 2 negative numbers the result is negative

Answer:

A and D has a negative value

Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.

How many meters of rope does Aiku have in all?

0.0412 m

0.412 m

4.12 m

41.2 m

Answers

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

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Will give brainliest

Answers

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

Does anyone knows how to do that?
I need to solve for x

Answers

Answer:

[tex]x=17[/tex]°

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is [tex]180[/tex]°.

Now, with all of this information, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+4x-3=180[/tex]

[tex]112+4x=180[/tex] (Simplify LHS by combining like terms)

[tex]112+4x-112=180-112[/tex] (Subtract [tex]112[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]4x=68[/tex] (Simplify)

[tex]\frac{4x}{4}=\frac{68}{4}[/tex] (Divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=17[/tex]° (Simplify)

Hope this helps!

Hello! I need help on this geometry assignment! I will give brainliest to anyone who can help me and actually shows the work because I need help right away!!!!!!!!!

2. What is the value of x? Show your work.

Answers

Answer:

We know that 30/25 is 1.2 or 1 1/5. SO if we divide 20 by that then we'll get 16.6667. So I won't give you the answer because its best that you learn to do this yourself because its more beneficial than telling you. What you have left is 16.6667=4x-4. Combine like terms and you'll get your answer. But if your still stuck then you can just let me know and I'll help you as much as I can.

image down below :) thanks

Answers

1,-6 hope this helps

Step-by-step explanation:

option C is the correct answer of this question.

plz mark my answer as brainlist plzzzz hope this will be helpful to you ☺️.

A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.00

Answers

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

which is the product or 11/12 and 4? A 1 1/4 B 3 2/3 C 4 1/3 D 33

Answers

Answer:

Step-by-step explanation:

11/12 × 4 = 11/3 = 3⅔

The tiles for the bathroom tub makes a rectangular grid consisting of 253 rows and 48 columns. Write an expression that shows the product of the number of tiles in the bathroom.

Answers

Answer:

Step-by-step explanation:

Assuming that the tile sizes are an average of 1x1 then the expression would simply be multiplying the number of rows by the number of columns. This would provide us with a product which would be the area of the bathroom as well as the number of individual tiles that the bathroom needs and/or already has installed represented by the variable t. Therefore, the expression would be the following.

253 * 48 = t

12,144 = t

100 points please help
This painting has?

Answers

Answer:

D. Organic shapes

Step-by-step explanation:

Achromatic shapes: shapes with "no color".

Geometric shapes: shapes with straight lines and angles that symbolize structure and order.

Irregular shapes: shapes that have sides and angles of any length and size.

Organic shapes: shapes with a natural look and a flowing and curving appearance. Organic shapes are associated with things from the natural world, like plants and animals.

I hope this helps :)

Answer:

Its the real answer of my inorganic shapes

Step-by-step explanation:

If im wrong im sorry

Tamera is buying party favors. She chooses pencil erasers that are shaped like pieces of sushi. Each package she buys contains the same number of erasers. She buys 2 packages and gets a total of 8 erasers. Solve the equation 2x = 8 to find the number of erasers, x, in each package

Answers

All what you have to do is divide the 8 by 2 to find x.

2x = 8

/2  l  /2

x = 4

There are 4 erasers per package.

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