Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?

Answers

Answer 1

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

The new image is (-1, -4)

∵ It is translated 2 units down

k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

The final image is (-1, -6)

The coordinates of the image of point A are (-1, -6).


Related Questions

A) vehicle 1 is traveling at greater speed
B) vehicle 2 is traveling at a greater speed
C) vehicle 1 and 2 are traveling at the same speed
D) there is not enough information to determine which vehicle is traveling at a greater speed

Answers

Answer:  A) vehicle 1 is traveling at greater speed

========================================================

Explanation:

Let's find the slope of the graph

m = (y2-y1)/(x2-x1)

m = (120-80)/(3-2)

m = 40/1

m = 40

Each time x goes up by 1, y goes up by 40.

Vehicle 1 travels 40 miles for each hour, ie, its speed is 40 mph.

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

Now find the slope of the table

m = (y2-y1)/(x2-x1)

m = (240-150)/(8-5)

m = 90/3

m = 30

Vehicle 2's speed is 30 mph.

We see that Vehicle 1 is traveling 10 mph faster compared to Vehicle 2.

The class can contain at most 28 students.

Answers

28


Bcdfghhfghhfd




28 :)

Mark can type 9,050 words in 50 minutes. How many words per minute can he type?

Answers

Answer:

181

Step-by-step explanation:

9050/50=181

Mark can type 181 words in a minute.

Answer:

181 words per minute

Step-by-step explanation:

9050/50 is 181

Identify the segment bisector of RS. Then find RS. I need help

Answers

Answer:

M

Step-by-step explanation:

The angle bisector is M

What is the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

This uses the altitude on hypotenuse theorem

The 2 triangles formed are similar to the given triangle and to each other.

Δ ADB ~ Δ BDC

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values

[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )

4x² = 100 ( divide both sides by 4 )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

if someone answers these i will give brainlest um anyways i will drop the question right below here. THANK YOU

y= -x - 4
slope of this and y- intercept

y= 3x
slope of this and y- intercept

THANK YOU AGAIN

Answers

1). The slope is -1
2). Slope: 3 y-intercept: (0,0)
Hope this helps!

Answer:

Step-by-step explanation:

The slope is -1!

Btw the y intercept is (0,-4)

How do you solve 2+x=-7

Answers

Answer:

x = -9

Step-by-step explanation:

Step 1: Write equation

2 + x = -7

Step 2: Solve for x

Subtract 2 on both sides: x = -9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 2 - 9 = -7Subtract: -7 = -7
In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In our example,
- term 2, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Therefore, the answer is x=-9

Warm-Up
Active
Finding the Slope of a Line
What is the slope of a line that contains the points (1
9) and (4, 3)?
10
The slope of the line is
a.5
b. -2
c. 6
d. -3

Answers

The answer is b.) -2

Answer:

slope would be -2

Step-by-step explanation:

slope formula

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

We know: (1, 9) and (4, 3)

plug in the numbers

[tex] \frac{9 - 3}{1 - 4} [/tex]

subtract

[tex] \frac{6}{ - 3} [/tex]

divide

[tex] - 2[/tex]

Tadaaaa

There are 24 hours in one day. The total hours is a function of the days. Does this situation represent a linear or nonlinear function?

Linear
or
nonlinear

Answers

linear (: hope this helps

PLZZZZZ I AM TIMED AND IT IS ON 10 MINUTES

Which tasks are common to all Education and Training career pathways? assessing students on learning and approving budgets communicating with schools and families and enforcing rules that govern behavior teaching students and collaborating with teachers on instructional content developing instructional content for teachers and assessing student learning through exams

Answers

Answer:

Teaching students and collaborating with teachers on instructional content

Step-by-step explanation:

A common task to all Education and Training career pathways is teaching students and collaborating with teachers on instructional content.

What is an Education and Training career pathway?

An Education and Training career pathway refers to the various career paths which people in education and training follow in the field of education and training.

There are various education and training career pathways such as;

early childhood education,educational technology,physical education, etc.

All forms of education and training careers teach students and collaborate with teachers to develop course content.

Therefore, teaching students and collaborating with teachers on instructional content is a common task to all Education and Training career pathways.

Learn more about education and training at: https://brainly.com/question/12427808

help me piz ...........................

Answers

The answer is A. A variable by itself causes the coefficient to be 0.

Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years.
How much interest will the account earn over this period?

Answers

Answer:

3250

Step-by-step explanation:

Multiply 5,000 times 6.5 percent

                      5000 X 6.5% = 3250

Big money Bank has an offer for new customers and the interest earned by the account over a period of time will be 3250.

What is Simple Interest?

Simple interest is a quick and straightforward approach to figuring out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.

According to the question, the given information in the question is,

Principle amount, P = $5000

Rate, R = 6.5% and,

Time, T = 10 years

Make use of the simple interest formula, SI= [tex]\frac{P*R*T}{100}[/tex]

SI = [5000 × 6.5 × 10] / 100

SI = 325,000 / 100

SI = 3250

Hence, the interest earned by the account in this period will be 3250.

To get more information about Simple Interest :

https://brainly.com/question/25845758

#SPJ5

when creating a ratio table, will all the ratios be different?

Answers

Answer:

Sometimes.

Step-by-step explanation:

A ratio table is a list of equal ratios, which help us to understand the relationship between all of the numbers and ratios.

A ratio table can have like numbers sometimes, like in this chart for example. There's two 7's, and the rest are different. However, most of the time, the ratios are different.

in a 30-60-90 triangle, What numerical value do u always put in the master triangle for hypotenuse

Answers

Answer:

Can you help me with this question?

Step-by-step explanation:

Jacelyn’s company required an initial investment of $2,125 for starting costs and sells construction toys for $49.99 each. Richie’s company required no initial investment and sells construction toys online for $39.95 each. Which equation can be used to find t, the number of construction toys that must be bought so that the profit for Jacelyn’s company and Richie’s company is the same?

(x - 9) (x + 1)
Use F.O.I.L to expand

Answers

ok f.o.i.l

Farting.On.Iggy.Lucky

Answer:

x²-8x-9 i think?

Step-by-step explanation:

PLEASE I GIVE 26 POINTS AND BRAIN KING/QUEEN ANSWER BOTH QUESTIONS

At a deli counter, the price of a customer's order is calculated based on its weight.


Which of the variables is independent and which is dependent?

Independent
[ Select ]

Dependent
[ Select ]

can you also answer question 2

2.
Josiah is looking forward to the Randolph Jazz Festival next month and has offered to purchase tickets for all of his friends.



Which of the variables is independent and which is dependent?

Independent
[ Select ]

Dependent
[ Select ]

Answers

Answer:first one Dependent 2 independed

Step-by-step explanation:

Answer:  number 1 is dependnt and number 2 is independant

Step-by-step explanation:

The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

An engineer is designing three triangular traffic signs with a computer program. The vertices of Sign A are located at (2, 2) , (2, 12) , and (17, 7) . The vertices of Sign B are located at (4,4),(11, 19) and (18, 4) . The vertices of Sign C are located at (4, 8), (24, 1) , and (24, 15) . Put the signs in order from largest to smallest perimeter. Sign A Sign B Sign C

Answers

Answer:

sign C, sign B, sign A

Step-by-step explanation:

Given the vertices of triangular post A as (2, 2) , (2, 12) , and (17, 7). Let us find the length of side of the post using the formula for calculating distance between 2 points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

For the coordinate (2, 2) , (2, 12)

S₁ = √(12-2)²+(2-2)²

S₁ = √(10)²+(0)²

S₁ = √100

S₁ = 10

For the coordinate (2, 2) , (17, 7)

S₂ = √(7-2)²+(17-2)²

S₂ = √(5)²+(15)²

S₂ = √25+225

S₂ = √250

S₂ = 15.8

For the coordinate (2, 12) , (17, 7)

S₃ = √(7-12)²+(17-2)²

S₃ = √(-5)²+(15)²

S₃ = √25+225

S₃ = √250

S₃ = 15.8

Perimeter of sign A = S₁+S₂+S₃

Perimeter of sign A = 10+15.8+15.8

Perimeter of sign A = 41.6

FOR SIGN B with coordinate of vertices (4,4),(11, 19) and (18, 4)

For the coordinate (4, 4) , (11, 19)

S₁ = √(19-4)²+(11-4)²

S₁ = √(15)²+(7)²

S₁ = √225+49

S₁ = 16.6

For the coordinate (4, 4) , (18, 4)

S₂ = √(4-4)²+(18-4)²

S₂ = √(0)²+(14)²

S₂ = √196

S₂ = 14

For the coordinate (11, 19) , (18, 4)

S₃ = √(4-19)²+(18-11)²

S₃ = √(-15)²+(7)²

S₃ = √225+49

S₃ = 16.6

Perimeter of sign B = S₁+S₂+S₃

Perimeter of sign B = 14+16.6+16.6

Perimeter of sign B = 47.2

FOR SIGN C with coordinate of vertices (4, 8), (24, 1) , and (24, 15)

For the coordinate (4, 8) , (24, 1)

S₁ = √(1-8)²+(24-4)²

S₁ = √(-7)²+(20)²

S₁ = √49+400

S₁ = 21.2

For the coordinate (4, 8) , (24, 15)

S₂ = √(15-8)²+(24-4)²

S₂ = √(7)²+(20)²

S₂ = √49+400

S₂ = 21.2

For the coordinate (24, 1) , (24, 15)

S₃ = √(15-1)²+(24-24)²

S₃ = √(14)²+(0)²

S₃ = √196+0

S₃ = 14

Perimeter of sign C = S₁+S₂+S₃

Perimeter of sign C = 14+21.2+21.2

Perimeter of sign C = 56.4

Arranging in order from largest to smallest perimeter, Sign C(56.4), Sign B (47.2), sign A (41.6)

Brainliest for the correct awnser
What number completes the following sequence?

Answers

Answer:

20

Step-by-step explanation:

Because it half of 40

How can we re-write the expression below into ""friendlier"" terms? 6 ∙ 29

Answers

Answer:

A. 6 ∙ (30 - 1)

Step-by-step explanation:

How can we re-write the expression below into “friendlier” terms? 6 ∙ 29

options:

A. 6 ∙ (30 - 1)

B. 6 ∙ (16 + 13)

C. 6 ∙ (19 + 10)

D. 6 ∙ (21 + 8)

Re-writing an expression in friendlier term means expressing the term using numbers that are closest to the expression.

Checking all options,

A. 6 ∙ (30 - 1)

Option A seems closer to 6 ∙ 29 because, 30 - 1 which is very easy to evaluate gives 29

Moreover, 29 is very close to 30

Compared to other options, which have values that requires more thinking in evaluation

Which pair of triangles is similar?

Answers


Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. I can’t tell if your question is particularly similar because I can not see it but good luck!

Spoopy doopy doo ill ask a question and first, to get correct I will give the brainiest.


Tim has 789 Oreos Jon has 2x more Oreos than Tim, Pops has 4 times more than Jon how many Oreos does everyone has altogether? ASAP or I won't give brainiest.

Answers

4,734 is the answer because I used my calculator XD

Step-by-step explanation:

8679 easy equation all u gotta do is multiply 789 times 2 then take that number and multiply it by 4 and add all the numbers u got up

A. Multiply the factors you found above to verify that their product equals x2 + 6x + 5. Show your work
in the space
below.

Answers

Answer:

Step-by-step explanation:

x2 + 6x + 5

x2 + x + 5x + 5

x ( x + 1) + 5(x + 1)

(x + 5) and ( x + 1) are the factors

Now multiplying the factors

(x + 1) (x + 5)

x2 + 5x + x + 5

x2 + 6x + 5

Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution?

Answers

Answer:

5 liters

Step-by-step explanation:

Let x represent the number of liters of the 17% solution, and represent the percentages as decimal values:

0.1(2) + (0.17)(x) = 0.15(x + 2)

Simplify:

0.2 + 0.17x = 0.15x + 0.3

Solve for x:

0.17x = 0.15x + 0.1

0.02x = 0.1

x = 5

So, you would need 5 liters of a 17% solution to get a 15% solution

I need to simplify this one fast. please help! ​

Answers

ANSWER:

If this helped, please mark brainliest:)

A recipe for 18 mini brownies calls for 1 1/4 cups of flour, 3/4 cup of milk, and 1 1/3 cups of other ingredients. How many cups of flour, milk, and other ingredients are needed to make 36 mini brownies?

Answers

Answer:

[tex]2 \frac {1} {2} cups Flour\\1 \frac {1} {2} cups Milk\\2 \frac {2} {3} cups of Other Ingrediants[/tex]

Step-by-step explanation:

Multiply each value by 2 to get the equivilant, since 18+18= 36.

If 3m - n = 11, then m =

Answers

Answer:

n= -2 and m=3

Step-by-step explanation:

3 x 3= 9

11- 9 = 2

K(x)= 6x-12; k(x)= 18

Answers

Answer:

x=5

Step-by-step explanation:

set the first equation to 18. Then add 12 to both sides. Then divide by 6 by both sides. final answer is 5. Hope that helps!

a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?

Answers

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.

What is the average speed?

Average speed is the total distance travelled per time. It is used to determine the total distance per time.

Average speed = total distance / total time

644 / 8 = 80.50 km/h.

To learn more about average speed, please check: https://brainly.com/question/21734785

What is the answer to this question?

Answers

Bottom left
I might be wrong

Answer:

Multiple 234 denomitor to that

Step-by-step explanation:

!!!!

The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?

Answers

L = w+6
Perimeter = L + W
Substitute eqn 1 into 2
Perimeter = 2W + 6
Perimeter also = 8w
8w = 2W + 6
6w = 6
W = 1

Answer:

The width is 3 inches.

Step-by-step explanation:

First, let's identify our variables.

L=Length

W=Width

P=Perimeter

P=2W+2L

We know that L=W+6

We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:

8W=2W+2(w+6)

If you go through all the steps to isolate the variable W, you'll end up with W=3

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