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

What is the value of the product (3 - 2i)(3+2i)?

Answers

Answer:

13

Step-by-step explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i - [tex]4i^{2}[/tex]

2. Simplify

9 - [tex]4i^{2}[/tex]

3. Solve for i. [tex]i^{2}[/tex] = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

Please help me and explain the math.

Answers

Answer:

The measure of ∠A = 58.0°

Step-by-step explanation:

we will use the trigonometry function "tan" to solve the question

∵ BC is the opposite side of ∠A

∵ AC is the adjacent side of ∠A

∵ tan A = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan A = [tex]\frac{BC}{AC}[/tex]

BC = 8 units

AC = 5 units

∴ tan A = [tex]\frac{8}{5}[/tex]

→ Use the inverse function of tan to find the measure of angle A

∵ m∠A = [tex]tan^{-1}(\frac{8}{5})[/tex]

∴ m∠A = 57.99461679°

→ Round it to the nearest tenth

∴ m∠A = 58.0°

The measure of ∠A = 58.0°

Two rectangle are conguruent if​

Answers

Answer:

they are congruent if they have the same exact measurements as each other (side lengths AND angles)

Step-by-step explanation:

:)

The have the same measures in each side

Please help me!!!! 10 POINTS

Answers

Answer:

f(x) = 6x - 4

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!

3
DO NOW:
Which one does
not belong and
why?
1:7 2:14
Answer
3:11 7:49
Students, write your responsel
Pear Deck Interactive side
Do not rere

Answers

What are u asking can u be more specific or maybe add a picture?

the length of a rectaangle 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2x length +2w=48
find the length, in centimeters, if the if the width is:
10cm
3.6cm
w centimeters ​

Answers

Answer:

Step-by-step explanation:

We are told that the perimeter is 48 = 2L + 2W.  This reduces to

24 = L + W.  Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a)  If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b)  If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c)  If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm

miranda is riding her bicycle she goes from 5m/s to 20m/s over a period of 30 seconds at. what rate what is her acceleration​

Answers

Step-by-step explanation:

Acceleration= (final velocity - initial velocity)/ time

= v-u/t

v = 20m/s

u = 5m/s

t= 30s

= 20-5/30

= 15/30

= 0.5ms^-2

The 24 stundas the students, except 2 went bowling. What is the total cost each student who went bowling paid $5

Answers

Answer:

$4.40

Step-by-step explanation:

you do 24=5x-2 so first you do 24-2 and u get 22 so then divide that by 5 since they each pay 5. then u end up with 4 dollars and 40 cents

partial quotients for 1,204 divided by 28

Answers

Answer:

the answer is 43. Plz mark branliest :-)

Step-by-step explanation:

Number 11 thanks ASAP ASAP

Answers

Answer:

A is the direct variation equation

1. Find 0.08% of 720.

Answers

Answer:

0.576

Step-by-step explanation:

First, you would change the percent to a decimal which is 0.0008

Second, you would multiply that by 720 (0.0008 x 720)

Third you would find your answer by calculating it, which is 0.576.

Another way

0.0008/ 100 ×  a/720 ≡ 0.576

The value of 0.08% of 720 is 0.576.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

0.08% of 720

= 0.08/100 x 720

= 0.576

Thus,

0.576 is the value of 0.08% of 720.

Learn more about percentages here:

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Write a slope intercept form
When y-intercept is 5 and slope is 1/2

Answers

Answer:

y=1/2x+5

Step-by-step explanation:

Answer:

y=1/2x+5

Step-by-step explanation:

slope intercept form is y=mx+b

m= slope

b= y-intercept

If a number ends in zeros, the zeros are called terminal zeros. For example, 520,000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product of all natural numbers from 1 through 20:
N = 1 × 2 × 3 × 4 × ... × 20.
How many terminal zeros will N have when it is written in standard form?

Answers

Answer:

4

Step-by-step explanation:

First you need to figure out how many numbers can create a 0 at the end. Of course 10, and 20 can. Next, 2*5 and 12*15 can also do that. This means you will have 4 zeros at the end. Or you can simply use a calculator!

N = 1 × 2 × 3 × 4 × ... × 20  will give four terminal zeros.

To do such question there are 2 methods, conventional and non-conventional approach.

Conventional Approach;

N = 1 × 2 × 3 × 4 × ... × 20

Non-conventional approach;

To form a zero at the end of a number, we need to multiply it with a multiple of such 10, 20, 30, etc.

Also, a multiplication of 5 and 2 gives as zero.

Therefore, numbers (5 x 2), 10, (12 x 15), and 20, will give us four terminal zeros.

hence, N = 1 × 2 × 3 × 4 × ... × 20  will give four terminal zeros.

To know more visit:

https://brainly.com/question/10731412

Please help me with this question

Answers

Answer:

<PKA and <IKR

Step-by-step explanation:

They are across from each other!

Mr Noris wrote a doubles fact. It has a sum greater than 6. The number that he added are each less than 6. What fact might he have written?

Answers

6 facts on what it’s about?

9514 1404 393

Answer:

  4 + 4 = 8

  5 + 5 = 10

Step-by-step explanation:

If we assume Mr Noris restricted himself to integer facts, we require both ...

  2n > 6

  n < 6

Dividing the first inequality by 2 gives ...

  n > 3

Writing the two inequalities as a compound inequality, we have ...

  3 < n < 6

There are two integers that satisfy this requirement:

  n = 4 or n = 5

So, the doubles fact could have been either of ...

  4 + 4 = 8

  5 + 5 = 10

Help please! I’ll mark as brilliant!

Answers

Answer:

q=2

Step-by-step explanation:

I am not sure but it can't be 0 and its says higher than 1

Answer:

q=2

Step-by-step explanation:

Solve for u.
14 = 2 x u
U =

Answers

Answer:

14/2=u

7=u

the value of U is 7

What is the exact value of tan(19pi/12)?

Answers

Answer: It’s A

Step-by-step explanation:

Edge 2021

The exact value of tan ( 19π/12) is -3.732.

What are Trigonometric Ratios?

Trigonometric Ratios are ratios of sides of a right-angled triangle, they are used to find the missing sides and angles of the right-angled triangle.

The value of tan ( 19π/12) is

-3.732

Therefore, the exact value of tan ( 19π/12) is -3.732.

To know more about Trigonometric Ratios

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15 and 16 pls thank you ASAP ASAP

Answers

Number 16 is D & 15 is D because in number 16 8y can’t equal X but 8 can be in the X&Y’s place. As for number 15 the correct equation is 2y=0-4. Add to 2y and the equation is left with 2y=-4 divide that and you get a positive 2. Pls make my answer the Brainliest, I would rlly appreciate it...Please and Thank You!

Answer:

Number 16 is D & 15 is D

Step-by-step explanation:

Need help it’s due in 10 minutes please help

Answers

Answer:

3x°

Step-by-step explanation:

50°+2x°+3x°=180°

50°+5x°=180°

collect the like terms

5x°=180°-50°

5x°=130°

x°=130°÷5°

x°=26°

2x°=2×26°=52°

3x=3×26°=78°

A cylinder is shown. Which could be the base shape of the cylinder? line non-square rectangle circle square

Answers

Answer:

I believe the answer the 3rd option because a cylinder is a closed shape and had two parallel lines

Step-by-step explanation:

Answer:

circle

Step-by-step explanation:

took the test :) and cylinder bases are circles so!

​Which values are solutions to the inequality? ​ ​5r≤6r−8​ ​ Select each correct answer. r = 7 r = 8 r = 9 r = 10

there are multiple

Answers

Answer:

r = 8,9,10

Step-by-step explanation:

The given inequality is :

​5r≤6r−8​  ...(1)

We need to find the value of r.

Subtracting 5r to both sides of the inequality .

​5r-5r≤6r-5r−8

0≤r−8

r ≥ 8

Hence, the values of r are 8,9,10.

Answer:

The answer is r 8,9,10

Step-by-step explanation:

If one inch represents 65 on a map, then how many inches will represent 2,300 miles?

Answers

Use a ratio using consistent units. Let x = the unknown

1 inch/65 miles = x inches/2300 miles

then, x = 2300/65 = 35.38 inches

The point (-4, 5) is reflected in the x axis. What are the coordinates of the transformed point?

Answers

Answer:

(4,5)

Step-by-step explanation:

Hehe Hope it helped yu.

The reflection across the x-axis is an illustration of transformation, and the coordinates of the transformed point is (-4,-5)

How to determine the coordinates of the transformed point?

The point is given as:

Point = (-4,5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

(x,y) -> (-4,-5)

Hence, the coordinates of the transformed point is (-4,-5)

Read more about transformation at:

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The ratio of apple juice to cranberry juice in a punch is 3:9. Which ratio is equivalent to 3:9? A 27:54 9 to 18 6:27 15 to 45​

Answers

Answer:

68.56

Step-by-step explanation:

if you add them together you will ger 68.56

I just need help on the first one.

Answers

Step-by-step explanation:

x= the extra minutes

y= the total cost

General: y=40+.15x

Western: y=45+.10x

I hope this helps!

Here is a rectangle labelled abcd the length of the rectangle is increased by10% and width 5% how much percent has the perimeter increases by

Answers

Answer:

8%

Step-by-step explanation:

new length = 110% x 30 = 33cm

new width = 105% x 20 = 21cm

new perimeter = 2(33 + 21) = 108cm

old perimeter = 2(30 + 20) = 100cm

percentage increase = 8/100 x 100% = 8%

Topic: Percentage

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

How do I construct this with my compass?

Answers

Answer:

put a point a and extend to point b

Step-by-step explanation:

Answer: put the point on the line in two spots and create a circle. at the top two points draw a line and you have a parallel. put a point in the center then draw a line down.

Step-by-step explanation:

I need help with math ty

Answers

Answer:  5/6

Explanation:

There are 5 slices that aren't blue out of 6 total

The probability of landing on a non-blue slice is 5/6

What is the ratio of 472 and 482?

Answers

236/241 is the answer

Answer:

236:241

Step-by-step explanation:

how i got this is dividing each by a number that can fit into both (i did 2)

i hope this is correct

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