point P lies on the origin of a coordinate system. if you translate the point 5 units up, then 4 units left, then 4 units down, the result is point P. what are the coordinates of point P

Answers

Answer 1

Answer:

The coordinates of point P after all the translations become: (-4, 1)

Step-by-step explanation:

The point P lies on the origin of a coordinate system.

i.e. P(0, 0)

Translating point 5 units up will translate the coordinates from (0, 0) to :

(x, y) → (x, y+5)

(0, 0) → (0, 0+5) = (0, 5)

THEN

Translating point 4 units left will translate the coordinates from (0, 5) to :

(x, y) → (x-4, y)

(0, 5) → (0-4, 5) = (-4, 5)

THEN FINALLY

Translating point 4 units down will translate the coordinates from (-4, 5) to :

(x, y) → (x, y-4)

(-4, 5) → (-4, 5-4) = (-4, 1)

Therefore, the coordinates of point P(0, 0) after translating point 5 units up, then 4 units left, then 4 units down will be:

(x, y)      →     (x, y+5)     →     (x-4, y+5)     →     (x-4, y+5-4)

(0, 0)     →      (0, 0+5)    →     (0-4, 0+5)   →     (0-4, 0+5-4)  = (-4, 1)

Hence, the coordinates of point P after all the translations become: (-4, 1)


Related Questions

Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)

Answers

Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

The​ _________ of a hypothesis test is the probability ​(1minus beta​) of rejecting a false null hypothesis.

Answers

Answer:

Power

Step-by-step explanation:

An hypothesis is usually formulated at the beginning of research, it is usually in line with the problem statement and gives the possible outcome.

An hypothesis is either accepted or rejected.

Power in hypothesis is the probability of rejecting null hypothesis when it is false. It helps in making a correct decision by rejecting the null hypothesis when it is not true.

power ranges between 0 to 1 when it is close to 1 it is said to be very strong and has the probability of rejecting a null hypothesis when it is not true.

Power helps to avoid a type II error in statistics.

correctly factor the expression 15a-6b+36 using the greatest common factors

Answers

Answer:

3 ( 5a - 2b + 12)

Step-by-step explanation:

15 = 3 * 5

6 = 2 * 3

36 = 2 * 2 * 3 * 3

GCF = 3

15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)

                     = 3 ( 5a - 2b + 12)

Answer:

3 ( 5a - 2b + 12)

Step-by-step explanation:

15 = 3 * 5

6 = 2 * 3

36 = 2 * 2 * 3 * 3

GCF = 3

15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)

                    = 3 ( 5a - 2b + 12)

are there instances that rational algebraic equation can be transformed into quadratic equation​

Answers

Answer:

yeah

Step-by-step explanation:

hmm

Answer:

yes you can

Step-by-step explanation:

for example you have a second order algebraic equation, which have the general form ax^2 + bx + c = 0, for any constants a, b, and c, you can use the quadratic equation to find the values of x. However, sometimes it is easier to simply factor the expression into (fx+g)(hx+i) = 0, for any constants f, g, h, and i, and then solve the two resulting equations fx+g = 0 and hx+i=0 for the values of x.

i hope this helps

Find slope plz and ty!!

Answers

Answer:

1/2

Step-by-step explanation:

m=y2-y1/x2-x1

8-6=2

10-6=4

(2/4)/2=(1/2)

hope this helps :3

if it did pls mark brainliest

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

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What is the slope-intercept form of the equation of the line through the given point and slope?
through: (2,-2), slope = -3

Answers

Answer:

b = 4

Step-by-step explanation:

Remember y = mx+b (m = slope, b = y intercept.)

We have the slope, so, no need to solve for that.

To find the y intercept, plug in the ordered pairs to y=mx+b

-2=-3(2)+b

-2=-6+b       multiply like terms

4 = b        Add 6 on both sides

b = 4.

Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)​

Answers

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

ABCDE is a
regular pentagon
find the angles of ADC?​

Answers

Answer:

Since this regular polygon has 5 vertices (implied from the ABCDE), it's a regular pentagon. (This means an equilateral, equiangular pentagon.)  So, 360 deg./5 =72 deg., and 180 - 72 = 108).

Step-by-step explanation:

can someone help me with this

Answers

Answer:

16 + 10 ÷ 2

Step-by-step explanation:

We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10   2

What is 19,998 divided by 1,000,000,000,000,000,000,000,000,000,000,000

Answers

Answer:

1.9998e-29

Step-by-step explanation:

Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount

Answers

Answer:

D≥300

Step-by-step explanation:

A boy sits for 15 maths exams during the year and gains an average of 1.". He sits for one
more exam and receives a score of 65%. What is his new average?​

Answers

New average

[tex] = \frac{1 + 65}{2} [/tex]

[tex] = \frac{66}{2} [/tex]

[tex] = 33[/tex]

Therefore, the boy's new average is 33%

Miss Watson runs a distance of 200 metres in 25 seconds.
Work out the average speed of Miss Watson in metres per second

Answers

Answer:

8mps

Explantion:

200 / 25 = 8

8 miles per second.

8mps * 25 seconds = 200 miles

Answer:

average=total distance/time

average = 200/25 =8 m/s

Step-by-step explanation:

What is the solution to this inequality? 6x−5>−29 A ​ x>4 ​ ​B x>−4 ​ ​ C x<−4 ​ ​ C x<4 ​

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Solve for X.........

Answers

Answer:
x=-5

Explanation:
We can set our equation as this and solve:
(6)+(10)+(13+2x)=x+24
29+2x=x+24
Subtract both sides by 29
29+2x-29=x+24-29
2x=x-5
Subtract both sides by x
2x-x=x-5-x
x=-5

I hope this helps!

if 8 sugar cost 260 how much sugar can be brought for 877.500​

Answers

Answer:  27 kg of sugar can be bought for Rs. 877.50.

Step-by-step explanation:

Answer:

you could buy 28518.75 sugar for 877.500

Step-by-step explanation:

260 / 8 = 32.5

this gives you how much it cost per 1 (units)

32.5 * 877.50 = 28518.75

Find the slope of the lines that passes through the points (-8,-11) and (17,4).

Answers

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

i need help asap math sucks and is hard
8th grade math

Answers

Answer:

Slope = [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

(x₁ , y₁) = (-9 , -4)   & (x₂ ,y₂) = (-3, -6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]

can anyone help out with this?

Answers

9514 1404 393

Answer:

  (x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

Step-by-step explanation:

Each figure consists of two small squares and a square that has a side length of 1 more than the figure number. That is, ...

  f(x) = (x +1)^2 +2

You can count the squares in figures 1-3. Figure 4 will be 2 more squares than 5^2 = 25, so will be 27 squares.

  (x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

which branch of maths includes the most of other branches symbols/functions ect.​

Answers

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

Nya buys tea for $3.51 and juice for $2.28. estimate how much more she spends on tea than juice
1. Between $1 and $2
2.Less than $1
3. Between $2 and $3

Answers

the answer is 1. $1 and $2

Answer:

1

Step-by-step explanation:

First round up (or down) the prices for the tea and juice.

3.51 --> $4

2.28 --> $2.3 or $2

4-2.3=1.7

4-3= 1

$1-$1.7

Find the value of 2y if 2x - y = 5 and
x + y = 4.​

Answers

Answer:

the value of 2y would be 2

Step-by-step explanation: 3+1=4 so you would plug the 3 in for x and the 1 in for y to get 5

Solve the system of equations. y=6x+5 y=8x-7 what does x and y equal?​

Answers

8x-7 = 6x+ 5
2x = 12
X = 6, plug into equation
Y= 6(6) + 5
Y = 41

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

A= ______ cm2

Answers

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

2(3x-(2x-3(3x+1)+5x)

Answers

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

What's 2/5 divided by 4 ( simplest form)

Answers

Answer:

1/10

Step-by-step explanation:

[tex]\frac{2}{5} \div 4 = \frac{2}{5} * \frac{1}{4}[/tex]

we multiply by the reciprocal when we work with fractions and division.

Now you just multiply across.

Therefore, you have 2/20, which simplifies to 1/10.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

The simplest form of 2/5 divided by 4 is 1/10.

What is a fraction?

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example: 2/3, 5/7, 1/3

We have,

2/5 ÷ 4

= (2/5) / 4

= 2 / (4 x 5 )

We cancel the common factor from the numerator and denominator.

= 2 / (2 x 2 x 5)

= 1 / (2 x 5)

= 1 / 10

We see that there is no common factor to be canceled out from the numerator and the denominator.

= 1/ 10 is our simplest form.

Thus the simplest form of 2/5 divided by 4 is 1/10.

Learn more about fractions here:

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Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.​

Answers

the slope of the line on the graph is 1
Answer: 1
Step by step

Help asap!!

A container holds 80,000 ounces of water. There is a small leak in the container. Every 96 minutes​, 0.3 ounces of water leak out. Represent the total change in the amount of water in the container after 8 hours.

Answers

Answer:

Step-by-step explanation:

8hours=60×8= 480 minute

96minutes=0.3 ounces

480minutes =x ounces (use crisscross)

96x =144minutes

X= 144/96=1.5 ounces

Total change in the amount of water is

80,000-1.5=79998.5 ounces

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