The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?

Answers

Answer 1

Given:

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.

The point is (-3,-2).

To find:

The image of given point after the transformation.

Solution:

Consider the given point be P(-3,-2).

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.

If a figure translated by T⟨–5, 3⟩, then

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

[tex]P(-3,-2)\to P'(-3-5,-2+3)[/tex]

[tex]P(-3,-2)\to P'(-8,1)[/tex]

If a figure reflected by R x-axis, then

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

[tex]P'(-8,1)\to P''(-8,-1)[/tex]

Therefore, the image of given point after transformation is (-8,-1).


Related Questions

Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.

Answers

Answer:

The numbers are 50, 51, and 52.

Step-by-step explanation:

The consecutive integers are (x-1), x, and (x+1).

6*(x-1+x)-(x+1)=452+2x

6x-6+6x-x-1=452+2x

9x = 459

x=51

The numbers are 50, 51, and 52.

If g(x) = 3x² – 2x–5, what is the
value of g(-1) ?

Answers

Answer:

0

Step-by-step explanation:

g(-1)=3×(-1)²-2×(-1)-5 g(-1)=3×1+2-5 g(-1)=3+2-5 g(-1)=5-5 g(-1)=0 ......

The value of g(x) = 3x² - 2x - 5, at x = -1 is g(-1) and it is equal to zero.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) = 3x² - 2x - 5.

Now, The value of g(-1) is the same as x = - 1 in g(x).

Therefore, g(-1) = 3(-1)² - 2(-1) - 5.

g(-1) = 3 + 2 - 5.

g(-1) = 0.

learn more about functions here :

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Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)
1. m = -5, b=1
2. ( 1, -2), (3, 3)
3. (-2, 0) and (0, 5)
4. a = 2, b = -7
5, m = 2, (3, -1)

Answers

Answer:

1) The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.

2) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].

3) The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex]. The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].

4) The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.

5) The slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex]. The standard form of the line is [tex]-2\cdot x +y = -7[/tex].

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

[tex]a\cdot x + b \cdot y = c[/tex] (2)

Where [tex]a[/tex], [tex]b[/tex] are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that  [tex]m = -5[/tex] and [tex]b = 1[/tex], then we know that the slope-intercept form of the line is:

[tex]y = -5\cdot x + 1[/tex] (3)

And the standard form is found after some algebraic handling:

[tex]5\cdot x +y = 1[/tex] (4)

The slope-intercept and standard forms are [tex]y = -5\cdot x + 1[/tex] and [tex]5\cdot x +y = 1[/tex], respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(1,-2)[/tex] and [tex](x_{2},y_{2}) = (3,3)[/tex], then we construct the following system of linear equations:

[tex]m+b= -2[/tex] (5)

[tex]3\cdot m +b = 3[/tex] (6)

The solution of the system is:

[tex]m = \frac{5}{2}[/tex], [tex]b = -\frac{9}{2}[/tex]

The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x -\frac{9}{2}[/tex].

And the standard form is found after some algebraic handling:

[tex]-\frac{5}{2}\cdot x +y = -\frac{9}{2}[/tex]

[tex]-5\cdot x +2\cdot y = -9[/tex] (7)

The standard form of the line is [tex]-5\cdot x +2\cdot y = -9[/tex].

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that [tex](x_{1},y_{1})=(-2,0)[/tex] and [tex](x_{2},y_{2}) = (0,5)[/tex], then we construct the following system of linear equations:

[tex]-2\cdot m +b = 0[/tex] (8)

[tex]b = 5[/tex] (9)

The solution of the system is:

[tex]m =\frac{5}{2}[/tex], [tex]b = 5[/tex]

The slope-intercept form of the line is [tex]y = \frac{5}{2}\cdot x + 5[/tex].

And the standard form is found after some algebraic handling:

[tex]-\frac{5}{2}\cdot x+y =5[/tex]

[tex]-5\cdot x +2\cdot y = 10[/tex] (10)

The standard form of the line is [tex]-5\cdot x +2\cdot y = 10[/tex].

4) If we know that [tex]a = 2[/tex] and [tex]b = -7[/tex], then the standard form of the family of lines is:

[tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex]

And the standard form is found after some algebraic handling:

[tex]-7\cdot y = -2\cdot x +c[/tex]

[tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex], [tex]\forall \,c\in\mathbb{R}[/tex] (11)

The slope-intercept and standard forms of the family of lines are [tex]y = \frac{2}{7}\cdot x -\frac{c}{7}[/tex] and [tex]2\cdot x -7\cdot y = c[/tex], [tex]\forall \,c \in \mathbb{R}[/tex], respectively.

5) If we know that [tex](x,y) = (3,-1)[/tex] and [tex]m = 2[/tex], then the y-intercept of the line is:

[tex]3\cdot 2 + b = -1[/tex]

[tex]b = -7[/tex]

Then, the slope-intercept form of the line is [tex]y = 2\cdot x-7[/tex].

And the standard form is found after some algebraic handling:

[tex]-2\cdot x +y = -7[/tex] (12)

The standard form of the line is [tex]-2\cdot x +y = -7[/tex].

What is the percent of change from 4 to 1?

Answers

Answer:

1 is 25% of 4, so 75% decrease

Step-by-step explanation:

Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)

Answers

Answer:c

Step-by-step explanation:

HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).

Answers

Answer:

Y=3x+12 (its the first option)

Step-by-step explanation:

I did the assignment.

The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Given :

The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):

Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

Step 2 - The one-point form is given below:

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

Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.

Step 4 - Now, substitute the values of slope and the point in the above expression.

[tex](y+3) = 3 (x+5)[/tex]

y = 3x + 2

For more information, refer to the link given below:

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Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!

Answers

Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

hduuw8sisihaisiswkjznaswiqqlnaa

Answers

Answer:

whats ur question?

Step-by-step explanation:

Answer:

I don't understand

Step-by-step explanation:

Sorry, I cannot help

Please answer correctly !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

∠3, it is quite clear

Step-by-step explanation:

Please help me with this one please, I've been having trouble figuring this one out.

Answers

Answer:

y = - 2x - 1

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 ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)

m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 2x - 1 ← equation of line

Y=-2x-1
I hope this helps

Match the vocabulary word with the correct definition.

Answers

Answer:

1. right triangle - a triangle with one angle that measures 90 degrees

2.radius- a line segment from the center of a circle to any point on the circle

3. ray- a part of a line that has 1 endpoint that goes in one direction forever

4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same

5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure

6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure

Step-by-step explanation:

-2/3d -1/4d= -22 for d

Please help I am dumb!!

Answers

Answer:

ok so the answer is d = 24

Step-by-step explanation:

happy to hellp!

A company makes 130 bags.
49 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
39 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

130-49 = 81

Answer 81/130

The probability that the bag has buttons is 0.38.

What is the probability?

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

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, a company makes 130 bags.

Here, the number of favorable outcomes = 49 and the total number of outcomes =130

Now, probability of an event = 49/130

= 0.38

Therefore, the probability that the bag has buttons is 0.38.

To learn more about the probability visit:

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Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

What is that ??? Lol

help 8th grade math multiple choice question

Answers

Answer:

P1 (-1,1)

P2 (-2,4)

FOURTH OPTION IS CORRECT.

Pls help ASAP
only answer 4, 7, and 10 please

Answers

Answer:

q4: ΔGHJ≡ΔARE by ASA

q7: ΔABC≡ΔILH by SSS

q10: ΔABC≡ΔKPG by AAS

Step-by-step explanation:

q4: ΔGHJ≡ΔARE by ASA

q7: ΔABC≡ΔILH by SSS

q10: ΔABC≡ΔKPG by AAS

true or false decimals​

Answers

all of them are false

Answer:

The first and last one are true and the ones in the middle are false

Which ordered pairs are solutions to the inequality y−3x<−4? Select each correct answer.

Answers

Answer:

Okay so what you need to understand first is that this is a line right?

So, ask yourself if you know how to graph this line.

If you do graph it, and because this line has a < less than sign it means you shade down but it also means that any point directly on the line won't be a solution because the line is dashed!

There can be many solutions to this line, but only in the solution area/shaded region. This in on the lower right side of the diagonal line that is crossing from almost 2 x-axis to -4 y- axis on the line!

If you would've shown me the list of ordered pairs I would've been able to select the correct ones.

Answer:

(4,-2) and (5,1)  I took the test

Step-by-step explanation:

Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)

Answers

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

8x + 8 = 180 help me please

Answers

Answer:

Step-by-step explanation:

8x=180-8

8x=172

8x/8=172/8

x=21.5

Answer:

43/2

Step-by-step explanation:

Move Constant to the left

8x+8=180

calculate

8x=180-8

divide bothsides

8x=172

Answer

z=43/2

Can someone help PLEASEE???

Answers

Answer:

44%

Step-by-step explanation:

There are a total of 25 tiles. 11 of them are shaded. To solve this divide 11/25*100. This equals 44%.

Given ac is perpendicular to cb and cx is perpendicular to ab, prove angle 2 is congruent to angle 3.

Answers

Answer:

Step-by-step explanation:

Given in the question,

AC ⊥ BC and CX ⊥ AB

m∠ACB = 90°

m∠ACX = 90° - m∠3

Now by applying the property of interior angle of triangle,

m∠CAX + m∠CXA + m∠ACX = 180°

m∠2 + 90° + (90°- m∠3) = 180°

m∠2 + 180° - m∠3 = 180°

m∠2 - m∠3 = 0

m∠2 = m∠3

Therefore, m∠2 ≅ m∠3.  

Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.

Answers

Answer:

678

678 is even, so it's divisible by 2

6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3

Since 678 is divisible by both 2 and 3, it has to be divisible by 6

Step-by-step explanation:

Find the slope of the line that passes through the points (1.2) and (2.6).​

Answers

Answer:

4

Step-by-step explanation:

Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{6-2}{2-1}[/tex] = [tex]\frac{4}{1}[/tex] = 4

Help me I want good grades i

Answers

the second one the unit rate is 2.05 i think

Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?

Answers

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

The punch layout for a piece of 12 gage sheet metal is as shown. What is the area of the cross hatched center "star" shape ? Show all calculations! circle radius 1 foot Not drawn to scale I​

Answers

Answer:

.86 square feet.

Step-by-step explanation:

Directions

You have to do this by following directions.

1, Go one circle to your right. Make it the top circle.

2, Drop a perpendicular from the circle you've just been directed to.

3. Draw until you hit the center of the circle below the circle you started your line from. You should get a square.

Find the area of the square.

Each side of the square is 2 feet. You get that because the side of the square = 2 radii -- one radii from the two circles in the center.

Area Square = s^2

Area Square = 2 * 2

Area Square = 4

Find the are of the circles

The 4 central circles that are touching (2 to the left and 2 to the right)  are each are 1/4 of a full circle. 4 * 1/4 circle Area = 1 full circle.

Area = pi * r^2 = 3.14 * 1^2 = 3.14

Find the area of the star

Area of the star = area of square - area of circle.

Area of the star = 4 - 3.14

Area of the star = .86 sqr feet

Help me plzzzzz
A cyclist rides her bike at a speed of 9 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round your answers.

Answers

Answer:

per minute: 0.15 km

in 10 minutes: 1.5

Step-by-step explanation:

there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.

when have I ever done this leave me alone please

Answers

Answer:

zusvhzbzhz

Step-by-step explanation:

zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs

Answer:

ok I will leave u alone

Step-by-step explanation:

(•ө•)♡

Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1

Answers

Answer:

The answer is "Option b"

Step-by-step explanation:

The numbering of the choices was defined in the attached file please find it.  

In the question except for option b, all choices were correct, that can be defined as follows:

Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.
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