the vertices of figure ABC are A(-4,1), B(5,3), and C(4,-2). If figure ABC is reflected over the line x=2, find the coordinates of vertex B'.

Answers

Answer 1

The coordinates of vertex B' are (-1,3)

What is reflection?

Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.

Analysis:

When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.

So vertex B' is a reflected vertex along the y- axis since it is at x=2

The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3

so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.

So the coordinates of vertex B' are (-1,3)

In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)

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Related Questions

Identify the growth factor for the following exponential function: y= 2.3(1.32)*

A. 2.3
B. 1.32
C. X
D 32%

Answers

Not sure if this helps but I got y=3.036

You asked students the survey question: How many hours did you do homework last week? The responses were 3, 10, 5, 7, 4, 8, 3, 5, 4, and 2 hours. Which statement best represents the data?


1. Most of the friends who responded did homework for 5 or fewer hours last week.
2. Most of the friends who responded did homework for more than 8 hours last week.
3. Most of the friends who responded did homework for 6 or more hours last week.
4. Exactly half of the friends who responded did homework for fewer than 6 hours last week.

Answers

The first statement best represents this data. 7 out of 10 students did their homework for 5 or fewer hours last week.
1.

If you write it out in order of smallest number to largest number, you can count that only 3 people out of the ten total did over 5 hours of homework

What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g

Answers

Answer:

7.5

Step-by-step explanation:

you take the largest number (9.8) and subtract with the smallest number (2.3)

9.8-2.3= 7.5

A flower shop charged $124.44 for 3 bouquets of flowers. This price included a $7.50 service and delivery fee.

What was the cost of one bouquet?

Answers

the cost of one bouquet is - $41.48 but then u have to divide the shipping and delivery fee - $2.5 so then u add $41.48 + $2.5 = $43.98

solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.

Answers

Answer:

[tex]They\ are\ 8.544\ feet\ apart[/tex]

Step-by-step explanation:

Step 1:  Determine the important information

Math teacher 8 feet in front

Science teacher 3 feet to the right

Step 2:  Determine how far apart the teachers are

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

[tex](8)^2+(3)^2=c^2[/tex]

[tex]64 + 9 = c^2[/tex]

[tex]73 = c^2[/tex]

[tex]\sqrt{73} = \sqrt{c^2}[/tex]

[tex]8.544=c[/tex]

Answer:  [tex]They\ are\ 8.544\ feet\ apart[/tex]

Which number sentence is not true?
A. | -1 | > 1/2
B. | -1 | = -1
C. | 1/2 | < | -1 |
D. | -1/2 | < | -1 |

Answers

Answer:

Option B

Step-by-step explanation:

|-1| [tex]\neq[/tex] -1

|-1| = 1

Answer:b

Step-by-step explanation: bc it’s right

PLEASE HELP!!! NEED QUICKLY!!! WILL GIVE EXTRA POINTS AND WILL MARK BRAINLIEST!!! NEED ANSWERS TO ALL

Answers

Answer:

B and D have a horizontal line of symmetry ( their top and bottom parts match )  Some letters like  X, H, and O, have vertical and horizontal lines of symmetry.  some like P, R, and N have no lines of symmetry.

Step-by-step explanation:

A,. C,. D,. E,. H,. I,. M,. O,. T,. U,. V,. W,. X,. and Y have lines of reflective symmetry. Some of them have more than one.

'O' has an infinity of them.

There is no way for you to give extra points.

Help meee pleaseeeeeeee

Answers

Answer:

The answer to this question is letter choice E. 25%.

Step-by-step explanation:

Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.

!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.

A) 11.7
B) 3.8
C) 10.3
D) 5.5

Answers

[tex]\bold{ANSWER:}[/tex]
C) 10.3

[tex]\bold{SOLUTION:}[/tex]

Answer:

C

Step-by-step explanation:

a^2 + b^2= c^2

3.9^2 +b^2=11^2

15.21+b^2= 121

b^2= 105.79

b= 10.28542

round to 10.3

At Webster Elementary School, of
the fifth graders are enrolled in summer
camps. Of the students enrolled in
summer camps, 12 are enrolled in an
art camp. What fraction of the fifth
graders at Webster are enrolled in
art camp?

Answers

Answer:
8/12 of fifth graders at Webster are enrolled in
art camp

Step-by-step explanation:
Question: At Webster Elementary School, 4/6 of the fifth graders are enrolled in summer camps. Of the students enrolled in summer camps, 8/12 are enrolled in an art camp. What fraction of the fifth graders at Webster are enrolled in art camp?

Given:
4/6 of the fifth graders are enrolled in summer camps.
8/12 are enrolled in an art camp.

fraction of the fifth graders enrolled in art camp:
find common denominator, 4/6 x 2/2 = 8/12
8/12 = 4/6 which means all went to art camp

Alizeh plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Alizeh’s investment after 20 years?

Answers

Answer:

$38696.84

Step-by-step explanation:

7% interest

so *1.07 per year

10,000*1.07^x=y

10,000*1.07^20=$38696.84

The equation that represent the  value of Alizeh’s investment after 20 years is y = 1000(b)^20

Exponential equation

The increase in the amount of his money can be represented using the exponential function as shown:

y = ab^x

Given the following

a = 1000

x = 20 years

Substitute

y = 1000(b)^20

Hence the equation that represent the  value of Alizeh’s investment after 20 years is y = 1000(b)^20

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3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3? ​

Answers

                       - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

    Parallel lines have the same slope.

[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.

Now let's write the equation of the new line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-

[tex]\sf{y-(-3)=2(x-(-6)}[/tex]

On simplification,

[tex]\sf{y+3=2(x+6)}[/tex]

On further simplification,

[tex]\sf{y=2x+12-3}[/tex]

Which results in:-

[tex]\sf{y=2x-9}[/tex]

▲ our slope-intercept equation

Good luck with your studies.

                       -- - - - - - - - - - - - - - - - - - - - - - - - -

11. The exponential function given by ​H(t)=80,030.83​(1.0481​)t​, where t is the number of years after 2010​, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.

Answers

A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The exponential function that can be used to project the number of centenarians in a certain country is [tex]H(t) = 80,030.83(1.0481)^t[/tex].

Now, the number of centenarians in the country in 2013 is,

[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]

Also, the number of centenarians in the country in 2038 is,

[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]

Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

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Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine and a bottle for kids to blow their own bubbles. In the bubble machine, Emmet mixed 12 ounces of dish soap and 24 ounces of water. In the bottle, he mixed 5 ounces of dish soap and 9 ounces of water. Which container had the greater ratio of dish soap to water?

Answers

Answer:

It's 5912

Step-by-step explanation:

It's 5912 cause 5912 is the answer.

PLSSS HELP ME WITH MATH

Answers

Step-by-step explanation:

always remember, equations and inequalities are like a scale with 2 pans (left and right).

a variable is like a placeholder, an empty spot on the pans. and the expressions on both sides are kind of the conditions for the things to put in these empty spots so that the status of the scale stays unchanged.

for an equation the scale has to stay balanced all the time.

and in an inequality one side is heavier that the other (it normally does not matter how much heavier) with "<" or ">" signs, or the scale can be also balanced with "<=" or ">=" signs. just the other side must never be heavier.

A

so, in our case here

2x - 5 = 3

yes, the solution (the ONLY solution, actually) is x = 4. no other value of x allows the scale to be balanced.

2x - 5 >= 3

well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = 4 is therefore a valid solution for the inequality too.

but so is every other value of x that makes the left side "heavier". what about e.g. 5 ?

2×5 - 5 >= 3

10 - 5 >= 3

5 >= 3

true, great ! so, e.g. x = 5 is also a valid solution.

what else ?

let's simplify the inequality

2x - 5 >= 3

2x >= 8

x >= 4

so, really every value of x that is greater or equal to 4 is a valid solution for the inequality.

B

-2x - 5 = 3

yes, the solution (the ONLY solution, actually) is x = -4. no other value of x allows the scale to be balanced.

-2x - 5 >= 3

well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = -4 is therefore a valid solution for the inequality too.

but so is every other value of x that makes the left side "heavier". what about e.g. -5 ?

-2×-5 - 5 >= 3

remember, -×- = +

10 - 5 >= 3

5 >= 3

true, great ! so, e.g. x = -5 is also a valid solution.

what else ?

let's simplify the inequality

-2x - 5 >= 3

-2x >= 8

x <= -4

a multiplication or division by a negative value flips the inequality sign, because such an operation makes a light weight heavy and a heavy weight light.

so, really every value of x that is less or equal to -4 is a valid solution for the inequality.

Triangles are stacked beside each other to form a prism. which statements are true regarding the prism? check all that apply. the prism has no vertices. the prism has 9 edges. the bases of the prism are triangles. the bases of the prism are rectangles. the prism has 5 faces.

Answers

The true statements based on the information are the bases of the prism are rectangles and the prism has 5 faces.

What is a pyramid?

A pyramid is defines as a polyhedron formed by connecting a base to a point known as a vertex.

The pyramid formed from stacking triangles besides  each other will have vertices, even number of edges and faces

The true statements based on the information are the bases of the prism are rectangles and the prism has 5 faces.

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Answer:

B C E , edge22

Step-by-step explanation

drink some water today and remember to take a break for yourself have a wonderful dayday

If overhead is applied to individual jobs at a rate of 50% of direct labor costs incurred per job, and $50,000 in direct materials were used and $25,000 of direct labor was required, what was the total cost of the job?

a) $25,000
b) $50,000
c) $12,500
d) $87,500

Answers

The total cost of the Job in the question is; D: $87,500

How to find the total Cost?

We are given that;

Direct Labor = $25000

Cost of direct materials used = $50000

Overhead is 50% of direct labor costs. Thus;

Overhead Cost = 50% * $25000 = $12500

Total Cost of Job = Overhead Cost + Materials Cost + Labor Cost

Total Cost of Job = $87,500

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You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?

Answers

The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

How to determine the number of flips?

The given parameters are:

P(Head) = 70%

The expected number of flipping a head is:

E(x) = 70% * x

The expected number of flipping a tail is:

E(x) = (1 - 70%) * x + 1

Where 1 represents the first flip

When both values are equal, we have:

70% * x = (1 - 70%) * x + 1

Evaluate

0.7x = 0.3x + 1

Evaluate the like terms

0.4x = 1

Divide both sides by 0.4

x = 2.5

Remove the decimal

x = 2

Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2

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y
12
11
10
9
7
NWO0065
4
-12-11-10-9-8
-65
-3-2-1
1
2 3 4 5 6
8 9 10 11 12
-2
-9
-10
-11
-12

Answers

Answer:

y12111097

Step-by-step explanation:

because I know the answer

Find an integer x such that x, 56, 65 is a pythagorean triple

Answers

Answer:

  x = 33

Step-by-step explanation:

The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.

__

We want ...

  x² +56² = 65²

  x² = 65² -56² = 4225 -3136 = 1089

  x = √1089 = 33

The value x = 33 will make (33, 56, 65) a Pythagorean triple.

Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.

Answers

Answer:

when the sum of the squares of the sides are equal to the square of the hypotenuse

Step-by-step explanation:

we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.

97² = 65² + 72²

97² = 97²

it is a right triangle

Which sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 times a number is at least 8. the sum of 2.1 and –1.2 times a number is no more than 8. the sum of 2.1 and –1.2 times a number is a maximum of 8. the sum of 2.1 and –1.2 times a number is greater than or equal to 8. the sum of 2.1 and –1.2 times a number is a minimum of 8.

Answers

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

Inequality functions

Inequality are expressions not separated by an equal sign, Given the inequality;

2.1 + (-1.2x) ≥ 8

The sign ≥ means greater than or equal to

The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

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Answer:

The 1st, 4th, and 5th

Step-by-step explanation:

This is slightly urgent. Does anyone know how to cross multiply and divide 1/5 and 20/x? It would look like this if you need the equation.

1/5 * 20/x​

Answers

Answer:

1/5 * 20/x. first do 1× x then do 5×20 and you will get 1x/100

Step-by-step explanation:

sorry this is all i know

would someone help me 2/3 2/1 8/9 7/9 breast to least​

Answers

Answer:

First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.

Step-by-step explanation:

2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.

Answer:

It is 2/1 then 2/3 then 7/8 then 8/9  i hope this helps you friend

Step-by-step explanation:

The number of 9th graders attending the
high school in 2014 is expected to be 20%
greater than the 2012 total. How many 9th
graders are expected to be at the high school
in 2014?

Answers

there should be a number of students in 2012

just do 1.2*number of students in 2012 to get the answer

Answer:

432 9th grade a students

Step-by-step explanation:

so In 2012 there the percentage was 11th grade 11% and 12th grade 12% and 9th grade 30% and 10th grade 47%

total is 1200

in 2014 their is 1.2*1200 students as that is adding on 20%

which is 1440

so then do 0.3*1440=432 9th grade a students as that give your 30%

The surface area of a sphere is 1,017.36 square inches. What is the volume of the sphere? Use 3.14 for pi

Answers

The answer is : 254.34 inches

A car travels a distance of D km at 80 km/h and arrives 20 min late. If the car travels at
120 km/h, the car will arrive 20 min early. Find the value of D.

Answers

It’s would be 160 km since 160/80x60=120 min and 160/120x60=80min

A water tank measures 1.4m by 8cm by 60cm. Find the capacity of the tank in litres​

Answers

Answer:

672 litres.

Step-by-step explanation:

Convert the measurements to cm:

14 m = 1400 cm

The capacity = 1400 * 8 * 60

= 672,00 cm^3

There are 1000 cm^3 in 1 litre so the answer is

672 litres.

#88 will give brainliest to the best response!

Answers

Answer:

Mean: 80

Mode: 81

Median:81

Step-by-step explanation:

First, let's get the set of numbers from this Stem-and-Leaf plot:

[60,61,73,75,79,81,81,81,92,96,98]. From here we can solve for the mean by adding all the numbers up and dividing it by the number of terms that we have: [tex]\frac{60+61+73+75+79+81+81+81+92+96+98}{11} = 80[/tex] when rounded to the nearest whole number. The median is the middle number of the set when arranged from least to greatest, in this case, the median is 81.

Hope this helps! :)


Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the
triangles are not congruent type NC. (Use all capitals in your answer)

Answers

Answer:

Step-by-step explanation:

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