The vertices of ABC are A(-3,5), B(-2,3), and C(-5,3). If ABC is reflected across the y-axis to produce the image A'B'C', find the coordinate of the vertex C'.

Answers

Answer 1

Answer:

[tex]C' =(5,3)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,5)[/tex]

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

[tex]C = (-5,3)[/tex]

Reflection across y-axis

Required

Find C'

For reflection across y-axis, the rule is:

[tex](x,y) \to (-x,y)[/tex]

So, the image of C is:

[tex](-5,3) \to (-(-5),3)[/tex]

[tex](-5,3) \to (5,3)[/tex]

Hence:

[tex]C' =(5,3)[/tex]


Related Questions

Proving Triangles congruent by ASA and AAS

Answers

Answer: Congruent by AAS

Step-by-step explanation:

FG and EH are congruent because they are given.

EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.

Angle EIH and Angle FIG are congruent because of the vertical angles theorem.

Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.

plz help quick 100 points​

Answers

Answer:

30

Step-by-step explanation:

49-31+12= 30

___________

- Reason quantitatively. Since all of the information concerning
the dimensions of the flag and its parts are given in terms of the
height, Martha decides to begin her scale drawing by choosing
13 cm for the height. Explain why 13 cm is a good choice for
the height.

Answers

It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.

What size does a flag have?

Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.

Why are all flags square?

A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.

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URGENT CLICK TO SEE LINKS WILL GET REPORTED

Answers

Answer:

what?

Step-by-step explanation:

Kenneth rode his skateboard 3 miles to the park and it took him 30 minutes. What was his speed
in miles per hour?

Answers

Answer:

[tex]speed = \frac{distance}{time} \\ = \frac{3}{( \frac{30}{60} )} \\ = 3 \times 2 \\ = 6 \: miles \: per \: hour[/tex]

If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.

Which of the following BEST describes a TREE?

a) A complete graph, with exactly 4 vertices.

b) A connected graph, each vertex has a degree of 2 or greater.

c) A connected graph with at least 3 cycles.

d) A connected graph with no cycles.

Answers

Answer:

Step-by-step explanation:

We first start understanding what is a tree:

A tree can be understood as a graph such that two nodes ( or   vertices )  are connected by at most one path.

So the best definition that fit the above one is d. Note that

In a complete graph we have multiple paths to connected two nodes.  So that a is false. Similarly, b is false. If we have cycles in a graph, that implies more than two paths to connected two nodes. So c is false.

A connected graph with no cycles is used to describe a TREE so option (D) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

A TREE diagram is a graph where any two nodes or more are connected at one node by another segment while another remains open.

Since the TREE diagram is become by the disconnected node at one end it means it is not going to form any cycle.

Hence "A connected graph with no cycles is used to describe a TREE".

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PLEASE HELP!!! 15 points!

Answers

Answer:

-134/4

Step-by-step explanation:

It equals -33.75.

Answer:

-1215/32

Explanation:

90 × (-3/4) = -135/2

-135/2 × (-3/4) = 405/8

405/8 × (-3/4) = -1215/32

The radius of a cylinder is 3 cm and the height is 6 cm.
Find the Lateral Area.
O 1541
0 5611
O 9611
3611

Answers

Answer:

Lateral Area of a Cylinder = 2πrh

=2π x 3 x 6

=36π

Option D

Find the Area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.

Answers

Answer:

21.8

Step-by-step explanation:

hii so basically first we find the area of the 9 by 8 and subtract the area of the semicircles.

area of circles are πr^2, so in this situation

π4^2 which is 16π.

with this, the semicircle which is half a circle would give us

16π/2 which is 8π.

but then, we have two semicircles removed so we would have as an answer:

(9*8)-8π+8π

72-16π

then you would have to round so

16π is around 50.2

so 72-50.2 is 21.8

i hope this helped you <33

Compare 8.002 to 8.20. Which is greater?

Answers

Answer:

8.20

Step-by-step explanation:

8.20 is greater than 8.002 due to 0.20 being greater than 0.002

Which of the following expressions is a polynomial?

Answers

Answer:

b is a polynomial

Step-by-step explanation:

[tex]f(x) = {x}^{3} - 11 {x}^{2} + {3}^{x} [/tex]

6 Time différence n and 15

Answers

im just answering to get more points

Simplify the following? (x^5)^4​

Answers

x^20 i hope this helps

a store has a sale where all jackets are sold at a discount of 40%. If the regular price of the jackets is $80, how many jackets could be bought at the sale if a shopper spent $576​

Answers

Answer:

The shopper can but 12 jackets.

Step-by-step explanation:

80*.6 (100% - 40% = paying 60% or .6) = 48

576 / 48 = 12

Here we have a problem of percentage discounts, such that we need to find how much a given price decreases, and how many jackets we can buy considering the decreased price.

We will find that the number is 12.

Now let's see how we can get that result:

If something has an original price P, and we discount an x% of that price, the new price will be:

[tex]np = P\cdot(1 - x\%/100\%)[/tex]

Here we know that the regular price of a jacket is $80

And we have a discount of 40%

This means that the new price of these jackets will be:

[tex]np = \$80\cdot (1 - 40\%/100\%) = \$80\cdot (1 - 0.4) = \$80\cdot 0.6 = \$48[/tex]

Now we want to know how many of these jackets we can buy with $576

This will be equal to the quotient between the money we have and the new price of each jacket:

[tex]N = \$576/\$48 = 12[/tex]

This means that we can buy exactly 12 jackets at the sale.

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In an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3. what is the probability that A occurs given that B occurs?

Answers

Answer:

The probability that A occurs given that B occurred is 333/400, that is, 83.25%.

Step-by-step explanation:

Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:

4/5 = 0.8

2/3 = 0.666

0.8 x X = 0.666

X = 0.666 / 0.8

X = 0.8325

0.8325 = 333/400

Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.

Use the distributive property to find the equivalent expression.
10(8 + 3h) =

Answers

Answer:

80+30h

Step-by-step explanation:

7 3
What is another way to write the equation +--62
O
7+3
8+4
7 3
08
x=-6
7
X=-6
3

Answers

an equation to model this situation is 200 = x+ 2 *t and 220 pounds is  his total weight after 30 weeks

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

x  initial weight of John

weight gained 1 week = 2 pounds

no. of weeks = 20=t

Final weight of John = 200 pounds

200 = x+ 2 *t ---------(1)

no. of weeks = 20=t

From eq(1)

x = 160 pounds= intial weight

So,

[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]

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In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose that the equivalence point is reached after approximately 100 mL of a NaOH solution have been added (enough to react with all the acetic acid present) but that replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. Assume that volumes are measured to the nearest mL and describe the sample space. (a) What is the probability that equivalence is indicated at 100 mL? (b) What is the probability that equivalence is indicated at less than 100 mL? (c) What is the probability that equivalence is indicated between 98 and 102 mL (inclusive)?

Answers

Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.

What is probability?

The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.

Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.

Thus, total possibility = 10.

probability of getting 100 = 1/10

There are 5 volumes which are  less than 100 here,  [95, 99]. Thus, the probability = 5/10 = 1/2.

There are 5 values between 98 and 102 including these two values.

Hence, probability of getting these range  = 5/10 = 1/2.

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What is the growth factor of the following example? Assume time is measured in the units given.

A forest shrinks 80% per century.

a. 20 per century c. 80 per century
b. 0.20 per century d. 0.80 per century

Please select the best answer from the choices provided

Answers

Answer:

B. 0.20 per century

Step-by-step explanation:

I calculated it logically

In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30

Answers

Step-by-step explanation:

as the description says, the higher the ratio the better.

9/10 = 0.9

12/15 = 4/5 = 0.8

so, Tasha has the better batting average, as she has the higher ratio.

9/10 = 27/30

12/15 = 24/30

27/30 is higher than 24/30.

Will give brainly if right

Answers

Answer:

you are correct, it is all of the above

WILL MARK BRAINLIEST

Calculate the value of X in square DCBA

Answers

Answer:

45 degree , bc the ends are all 90 degree so divide 90 by two since the line crosses right in between

Answer:

45°

That looks like an Isosceles triangle so two sides are equal

The angle near O would be 90° cause that looks like an right angle

180-90=90

To find each angle divide by 2

90÷2=45

Here is a graph of the function h.
Use the graph to find the following
If there is more than one answer, separate them with commas
(a)
All local minimum values of
h
(b) All values at which h has a local minimum:

Answers

The graph also shows two other local maxima, at x=0.5 and x=1.5.

The local minimum(a) -4, -2, 0, 2 (b) The local minimum values of h occur at x = -4, -2, 0, and 2.These values can be seen on the graph as points at which the graph of h changes from decreasing to increasing.At each of these points, the value of h is at a minimum compared to the values of h on either side of the point.All values at which h has a local maximum: 0.5, 1.5All local maximum values of h: 2.5, 4.5.The graph of the function h is a parabola that opens upwards, with a turning point at x=1.This indicates that the function has a local maximum at this point.The local maximum values of h at these points can be determined by looking at the y-values at these points, which are 2.5 and 4.5 respectively.

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Write the equation of a line that is parallel to {y=-0.75x}y=−0.75xy, equals, minus, 0, point, 75, x and that passes through the point {(8,0)}(8,0)left parenthesis, 8, comma, 0, right parenthesis.

Answers

Answer:

[tex]y = 0.75x - 6[/tex]

Step-by-step explanation:

Given

Parallel to:

[tex]y = 0.75x[/tex]

Passes through

[tex](8,0)[/tex]

Required

The equation

The slope intercept form of an equation is:

[tex]y = mx + b[/tex]

Where:

[tex]m \to[/tex] slope

So, by comparison:

[tex]m = 0.75[/tex]

For a line parallel to [tex]y = 0.75x[/tex], it means they have the same slope of:

[tex]m = 0.75[/tex]

The equation of the line is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex]m = 0.75[/tex]

[tex](x_1,y_1) = (8,0)[/tex]

So, we have:

[tex]y = 0.75(x - 8) + 0[/tex]

Open bracket

[tex]y = 0.75x - 6 + 0[/tex]

[tex]y = 0.75x - 6[/tex]

What is the volume of a cone that has a radius of 9 inches and a height of 16​ inches? Use 3.14 for

Answers

Answer:

1357.17 inches³

Step-by-step explanation:

Answer:

Step-by-step explanation:

If this not right I am sorry I got 1357.17 the radius is 9in the height is 16 in

Sorry if I am not right

Say you take out a loan with a principal of $44,500. The interest rate is 13.11%, compounded monthly. If you make
consistent monthly payments and pay off the loan over the course of six and a half years, how much interest will you
have paid in total? Round dollar amounts to the nearest cent.
a. $21,849.92
b. $3,018.03
C. $20,003.60
d. $24,321.18

Answers

The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.

What is monthly compounding?

Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.

Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.

Thus;

[tex]Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92[/tex]

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A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.



Write a recipe for a mixture that will make the same shade of green but a larger amount.

Answers

A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.

Now,

2 Cups of Yellow + 3.5 Cups of blue

Multiply all by 2

=4 Cups of Yellow + 7 Cups of Blue

Hence,  a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

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What is the exact value of
sin

Answers

It has to be one of the negative answers. I’m not sure which one but I am sure it’s a negative number. :)

What is the equation of the line that passes through the point (-4,-4) and has a
slope of -3/4?

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}[/tex]

Answer:

y = -3/4x - 7

Step-by-step explanation:

Given: slope = m = -3/4

Plug this value into the standard slope-intercept equation of y = mx + b.

y = -3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -3/4(-4) + b

To find b, multiply the slope and the input of x(-4)

-4 = 3 + b

Now, subtract 3 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -3/4x - 7

This is your equation.

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