Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?

Answers

Answer 1

Answer:

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

Step-by-step explanation:

The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:

[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)

[tex]P(x,y)[/tex] - Absolute coordinates of point P.

[tex]A(x,y)[/tex] - Absolute coordinates of point A.

[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.

If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:

[tex]A(x,y) = (6,4) +(-2,2)[/tex]

[tex]A(x,y) = (4,6)[/tex]

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].


Related Questions

What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.​

Answers

Answer:

What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.​

Step-by-step explanation:

Next time, dont trust me to answer things correctly.

Answer:

C,A,D,D

Step-by-step explanation:

I’ll give brainliest these shouldn’t be too hard

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Answer:

9#  415     10# 2 hotdogs and one hamburger

Step-by-step explanation:

Hope this helps!!!  

have a great day!

A study of malaria transmission in Africa tested whether drinking beer increased attractiveness to mosquitoes. Yes, this is a real story (Lefevre et al. 2010. PLOS One5:e9546), and for simplicity I have changed some details from what they actually did. The researchers opened a container of 50 mosquitoes and looked at what proportion of the 50 mosquitoes left the container and flew towards the volunteer person. They did this experiment with 30 persons and each person was tested twice, once before they drank anything and then (an hour later) after they had consumed a beer. Assuming that the proportions of mosquitoes are normally distributed and the variances are similar, what would be the best test to see if more mosquitoes are attracted to people after drinking a beer

Answers

Answer:

The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations

Step-by-step explanation:

The study tested if drinking bear increases the attractiveness to mosquitoes

The number of people the taking part in the study, n = 30 people

The total number of mosquitoes in the study = 50 mosquitoes

The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear

The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain [tex]\hat{p}_{1}[/tex] and [tex]\hat{p}_{2}[/tex]

Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Where the pooled mean, [tex]\hat p[/tex], is given as follows;

[tex]\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}[/tex]

Help dudhfsdhdhdhhddh

Answers

Answer:

just multiply

76x475=36100 apples

how you would use the distributive property to expand 7(x + 4). I NEED HELPP

Answers

Answer:

7x+28

Step-by-step explanation:

7(x+4)

Use the distributive property to multiply 7 by x+4.

7x+28

Graph if needed:

Help with this pls if you don’t know the answer please don’t answer

Answers

i believe madison can drive 292.5 miles in 6.5 hours
292.5 miles in total. You multiply 45 by 6.5 hours.

Help me pls this is urgent ;>

Answers

Answer:

[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]

Find the are of the shape shown below

Answers

Answer:

32 units²

Step-by-step explanation:

The figure is the trapezoid

Trapezoid area formula:

A = 1/2(b1 + b2)h

Substitute values and solve:

A = 1/2(12 + 4)*4 = 32 units²


All trapezoids have one right angle?

Answers

Answer:

a trapezoid can have either 2 right angles or no right angles at all

Step-by-step explanation:

What is the circumference of the circle?

Answers

circumference = 2*(22/7)*r^2

r=d/2

so answer is 103.62

Hertz and Enterprise are rental car companies. Hertz charge's $50 for the rental, plus $40 for each day. Enterprise charges $40 for the rental, plus $45 for each day. What is the first day that Enterprise will be more expensive?

Answers

Answer:

I believe it will be day 3

Step-by-step explanation:

Day 1 for Hertz starts at 90, while day 1 for enterprise is starting at 85

day 2 (H)

130

day 2 (E)

130

day 3 (H)

170

day 3 (E)

175

Can someone pls help me its due today and I don't know how to solve this! pls show work!

Answers

Answer:

x = 10

Step-by-step explanation:

Angles are congruent b/c of the corresponding angles thm

6x + 8 = 3x + 38

3x = 30

x = 10

what is the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:y=x+5

Step-by-step explanation:

x-3=14 use the opposite operation found in the equation.

Answers

Step-by-step explanation:

x-3=14

x=14+3

x=17

verification

x(17)-3=14

17-3=14

14=14

The volume can be determine by subtracting volume of smaller cuboid from the volume of the bigger cuboid.
Thus, by removing smaller cuboid from the bigger, we can determine the volume of the resultant figure.
Thus, Option (b) is correct.

Plz answer correctly I will give brainliest and no virus links please I rlly need this answered

Answers

Answer: The blue circle is 62.83 and the orange is 31.42

Step-by-step explanation: Sorry if I got it wrong. But since the orange 5 cm and the blue (half) is 5cm, you add 10cm.

5k + 9 = 89.............

Answers

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

just have a few more left!! please help yall

Answers

Answer:

this one (look attachment):

Need help on this please

Answers

Answer:

64 pi

Step-by-step explanation:

Area of a circle is pi(r) ^ 2

The radius is half the diameter, so it would be 8 mi.

Pi ( 8 ) ^ 2

Pi ( 64 )

It would be 64 pi

x + 10 < 78 find three numbers to make this question true

Answers

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

x+10<78

Step 1: Subtract 10 from both sides.

x+10−10<78−10

x<68

Answer:

x<68

Help me out thank youuuu sooo much !!!

Answers

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

given the qintic equation below, solve it to find the values of x. 2x^5_6x^3_4x^2_2x+4 =0​

Answers

9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)


The area of a sector of a circle of radius 5
cm, formed by an arc of length 3.5 cm is
(a) 8 cm?
(b) 8.75 cm?
(c) 9.5 cm?
(d) 7.9 cm?

Answers

Answer:

A = 8.75 cm²

Step-by-step explanation:

Given that,

Radius, r = 5 cm

The arc length, l = 3.5 cm

We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,

[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]

The formula for the area of sector when [tex]\theta[/tex] is in radian is  given by :

[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]

So, the area of the sector is 8.75 cm².

Answer: (b)

Step-by-step explanation:

Given

the radius of circle r=5 cm

arc length  [tex]l=3.5\ cm[/tex]

Arc length is also given by

[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]

[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]

Area of the sector is given by

[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]

If 15% of a number is 150, find 3% of that number.

Answers

Answer:

$50

Step-by-step explanation:

hoped I helped

and p.s. dont click the link

Answer:

the answer is 30

Sue bought a six-month CD for $5000. She said that at maturity it paid $162.50 in interest. Assume that this was simple interest, and determine the APR.​

Answers

Answer:

apr is 500

Step-by-step explanation:

im an idiot sorry for waisting your time

The annual percentage rate is 6.5%.

Given that,

Sue bought a six-month CD for $5000. She said that at maturity it paid $162.50 in interest.

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

[tex]= (162.50 \times 2 \times 100\%) \div \$5,000[/tex]

= 6.5%

Therefore we can conclude that the annual percentage rate is 6.5%.

Learn more: brainly.com/question/24169758

The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U.S. Midwest. Summary statistics are provided.

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

Required:
Draw the boxplot for this data we found no extreme outliers.

Answers

Answer:

Please find attached the Box Plot Created with Microsoft Excel

The outliers are 11, and 14

Step-by-step explanation:

The given data is presented as follows;

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

From the data, we have;

The first quartile, Q₁ = 1

The second quartile, (The median) Q₂ = 2.5

The third quartile, Q₃ = 4.75

Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75

Therefore, the values above Q₃ + 1.5 × IQR are outliers

Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375

Therefore, 11, and 14 are outliers

The boxplot created with Microsoft Excel is attached

The diameter of the circle shown below is 12m. What is the area of the circle

Answers

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

ANSWERRRRR????HELPP PSLSSSSS

Answers

Answer:

its sas side angle side plz mark me branliest


You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.

Answers

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

let: f(x)=x+1 and g(x)=x^2-2

find: g(x) - f(x)

Answers

Answer:

x^2-x-3

Step-by-step explanation:

x^2-2-x-1

x^2-x-3

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