Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is −6. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer 1

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)


Related Questions

what is the soultion 3-6x = 9-6x

Answers

Answer:

x=-6

Step-by-step explanation:

3-9= -6x+6x

x=-6

ans=-6

One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her 25% discount.

Answers

Answer: [tex]\$60[/tex]

Step-by-step explanation:

Given

One ticket costs $20

Susan buys 4 tickets with 25% discount

Cost of 4 tickets is [tex]4\times 20=\$80[/tex]

On applying discount, it costs

[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]

So, total cost of tickets is [tex]\$60[/tex].

Line t intersects line u, as shown below.
11
(2x +17)
125°
What is the value of x?
A 54
B
71
С
108
125

Answers

9514 1404 393

Answer:

  A.  54

Step-by-step explanation:

The two marked angles are "vertical angles," so are congruent.

  125° = (2x +17)°

  108 = 2x . . . . . . . . divide by °, subtract 17

  54 = x . . . . . . . . . . divide by 2

Answer:

x=54

Step-by-step explanation:

2x+17 will be kept equal to 125

so 2x+17=125

    2x=125-17

    2x=108

    x=[tex]\frac{108}{2}[/tex]

    x=54 ans

Write an equation of the line with slope -1 passing through (8,5).

Answers

Answer:

y = -1x + 13

Step-by-step explanation:

y = -1x + b

5 = -1(8) + b

5 = -8 + b

13 = b

You randomly roll a number cube (single die).

What is the probability that you roll a 4.

Group of answer choices

2/3

6

1/6

4/5

Answers

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

the cost to go bowling is a function in terms of the number of games bowled. the cost to bowl 2 games with a shoe rental is $16.50. the cost to bowl 4 games with a shoe rental is $28.50. what is the cost of renting shoes?

Answers

Answer:

x = cost of games bowled = $6

y = cost of shoe rental = $4.50

Step-by-step explanation:

Let

x = cost of games bowled

y = cost of shoe rental

2x + y = 16.50 (1)

4x + y = 28.50 (2)

Subtract (1) from (2) to eliminate y

4x - 2x = 28.50 - 16.50

2x = 12

x = 12/2

x = 6

Substitute x = 6 into (1)

2x + y = 16.50 (1)

2(6) + y = 16.50

12 + y = 16.50

y = 16.50 - 12

y = 4.50

x = cost of games bowled = $6

y = cost of shoe rental = $4.50

Find the value of x
I give you 10 points if you help

Answers

Step-by-step explanation:

x = 55

I hope this is helpful

HELP PLS MATH !!!!!!!!!!!!!!

Answers

fraction form : 8/25

decimal form : 0.32

Answer:

8/25 or if you have to do decimal form it's 0.32

Step-by-step explanation:

sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it

Answers

Answer:

The probability that the second light will be red when she reaches it is 0.4

Step-by-step explanation:

Given the two events are independent

Hence, the probability of both the red light is (P1) * (P2) = 0.22

The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red

probability of first light being red =  0.22 + 0.33 = 0.55

(P1) * (P2) = 0.22

Substituting the given values, we get -

0.55 * P2 = 0.22

P2 = 0.4

Simplify 2/3(9x−15)−(−6x+2) . Write your answer in factored form.

Answers

The value of the expression 2/3(9x−15)−(−6x+2) is 12(x - 1).

How to calculate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

H we, we want to simplify 2/3(9x−15)−(−6x+2). This will be illustrated thus:

2/3(9x−15)−(−6x+2) .

= (6x - 10) + 6x - 2

= 6x - 10 + 6x - 2

= 12x - 12

= 12(x - 1)

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Solve for x Show your work

Answers

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

Which cancels 3 out, and you are left with

x = 12.

4) What is the domain of the function?
Please help

Answers

Answer:

-4 <= x <= 5.

Step-by-step explanation:

For the end points, we usually colour it same as the ink, in blue, to mean inclusion.  Here it is red, but we will assume inclusion as well, since exclusion will not have any correct answer.

Domain consists of all the valid values of x that apply to the function, which is from -4 to 5 inclusively.  We will not exclude non-integer values because this is what the graph indicates.

The only valid answer is therefore the first one, -4 <= x <= 5.

What is the value of angle vux

Answers

Answer:   156 degrees

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

There are two ways to do this.

The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.

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

The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y

Adding any three interior angles of a triangle always gets us 180

53+103+y = 180

y+156 = 180

y = 180-156

y = 24

Angle TUV is 24 degrees

The angle supplementary and adjacent to this is angle VUX, which I'll call z

z+y = 180

z = 180-y

z = 180-24

z = 156

So this is another way to get to the answer 156 degrees.

hi pls help i’ll give brainliest

Answers

Answer:

B if I remember correctly.

I rly need yalls help on #1-3, and 5 pleasee!

Answers

Here is #1. I will see if I can do number 2-3&5

What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole

Answers

Answer:

whole number if you can pick more choices it would be A, C, and D

hope this helps

have a good day :)

Step-by-step explanation:

Is 2.99 irrational or rational?

Answers

Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g.  [tex]\frac{299}{100}[/tex]) and therefore is rational.

What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?​

Answers

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

[tex]y = 3x + 2[/tex]

From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in the given point (3,-1)

[tex]-1=3(3)+b\\-1=9+b[/tex]

Subtract 9 from both sides

[tex]-1-9=9+b-9\\-10=b[/tex]

Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-10[/tex]

I hope this helps!

Find the measure of the arc or angle indicated

Answers

angle sjjsjwjsjsjsjjsjs

Does anyone understand? Need help asap

Answers

Answer:

it's 149.(54)=7

Step-by-step explanation:

that's the answer

Find the value of x, when log 10x + log 2 = log 60

Answers

Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

Which of the following is equivalent to the expression below?
(– 3m + 5) + (m – 11)

A: – 2m – 6
B: 2m – 16
C: 4m – 16
D: – 4m – 6

Answers

Answer:

B

Step-by-step explanation:

Which type of line of symmetry does the figure have?​

Answers

I Hope this helps!!!!!

What is the product of 3.8\times 10^23.8×10
2
and 6.4 \times 10^66.4×10
6
expressed in scientific notation?

Answers

Answer:

2.432 * 10⁹

Step-by-step explanation:

Given the expression;

3.8*10² × 6.4*10⁶

= (3.8*6.4)× (10²*10⁶)

= 24.32*10⁸

= 2.432* 10¹ * 10⁸

= 2.432 * 10⁹

Hence the product expressed as a scientific notation is 2.432 * 10⁹

You want to buy a new HD TV for $454.95. The salesperson says if you buy the weekend of Father's day you can get a 15% discount. Find the following.

The Discount = enter how much you will save, not the percentage.

Price after Discount =

Sales Tax = (Use a sales tax of 8.25%)

Total Cost =

Answers

Answer:

See below.

Step-by-step explanation:

454.95x.15=68.24 DISCOUNT

454.95-68.24=386.71 Price After Discount

386.71x.0825=31.91 Sales Tax

386.71+31.91=418.62 Total Cost

Find the equation of the line passing through the point (-2,5)
that is perpendicular to the line 6x + 2y = 8.

Answers

Answer:

y = 1/3x + 17/3

Step-by-step explanation:

6x + 2y = 8

2y = -6x + 8

y = -3x + 4

y = 1/3x + b

5 = 1/3(-2) + b

5 = -2/3 + b

17/3

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $244.60 from the 146 wraps sold. How many of the wraps sold were vegetarian?

Answers

Answer:

88 Vegetarian Wraps Sold.

Step-by-step explanation:

This is a System of Equations Problem.

Your Two Systems Are:

v(1)+c(2.7)=244.6 and c+v=146

c = chicken wraps and v = vegetarian wraps

Each chicken wrap costs $2.70 (2.7). Put the variable of c next to (2.7) meaning to multiply.

Each vegetarian wrap costs $1 (1). Put the variable of v next to (1)

244.60 (244.6) is the total amount of money made from selling the wraps. This will be the total of the equation.

v(1)+c(2.7)=244.6

Solve 2.7c+v=244.6 for v.

Add -2.7c to both sides.

2.7c+v+−2.7c=244.6+−2.7c

v=−2.7c+244.6

Substitute −2.7c+244.6 for v in c+v=146.

c+v=146

c+−2.7c+244.6=146

Simplify both sides of the equation.

−1.7c+244.6=146

Add -244.6 to both sides.

−1.7c+244.6+−244.6=146+−244.6

−1.7c=−98.6

Divide both sides by -1.7.

[tex]\frac{-1.7c}{-1.7} =\frac{-98.6}{-1.7}[/tex]

c=58

Substitute 58 for c in v=−2.7c+244.6.

v=−2.7c+244.6

v=(−2.7)(58)+244.6

Simplify both sides of the equation.

v=88

Answer:

c=58 and v=88

88 vegetarian wraps were sold.

In order to solve by completing the square, what value needs to be added to both sides of the equation:

Answers

Answer:

The answer is "[tex](x + 8)^2 = 58[/tex]"

Step-by-step explanation:

Let the equation is:[tex]x^2+16x=-6[/tex]

by adding and subtracting 64 then:

[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]

If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)

Answers

Answer:

[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]

Please help me on this problem

Answers

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20

Other Questions
What is an advantage to the type of circuit shown in the image to the left? A. The bulb closest to the battery is the brightest. B. If one bulb burns out, the others will stay lit. C. If one bulb burns out, the others will too. what is a 10th term and the first 3 terms of :(2) Match the vocabulary words on the left to the definitions on the right. Place thecorrectletter on each line. 1. amphibious2. asset3. blister4. device5. diminish6. frantic7. glacial 8. interlaced9. jumble10. ledge11. pitiful12. Pulverize13. twinge14. viciouslyA. swelling of surface of skinB. wildly excitedC. like ice; very coldD. woven togetherE. narrow shelfF. able to operate on land or waterG. wickedly, intenselfH. arousing sorrowI. something having valueJ. grind down; demolishK sudden, sharp painL. mix: confuseM. something constructed for a purposeN. lessen Help Please! Correct Answers Only!Which source would give the most accurate number of enslaved persons in the colonies? Government records of the sale of enslaved persons Paintings and images of enslaved persons on large farms Writings about about the lives of enslaved persons from eyewitnesses Stories passed down from generations of enslaved persons Identical net forces act for the same length of time on two different spherical masses. Which of the following describes the change in linear momentum of the smaller mass compared to that of the larger mass?a. it is smaller than the change in linear momentum of the larger mass but not zero. b. It is larger than the change in linear momentum of the larger mass. c. It is equal to the change in linear momentum of the larger mass. d. It is zero joe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe mommajoe momma Find the sum of the first 30 terms for the given arithmetic sequence.8, 1, -6, -13,...-3107-2805-1705-2508 Use the line of best fit to predict the total amount of money earned in tips after working 12 hours. (8,80)(2,20) Which of the follow mimics the process of diffusion in a way that is similar to the way that capillaries exchange materials between the blood and tissues in the body?tea seeping in a cup of hot waterfans running towards a popular bandants gathering near a drop of honeymoths moving to a camp fire Read the sentences below, paying close attention to the tone of the passage.So I followed Goofballs directions to the joint where I was to meet the one they called Big Man. Big man is right! The guy was nearly as wide as he was tall, and all muscle. No wonder everyone "did what he said".Which phrase could be substituted for the phrase in bold (it's did what he said), to better match the tone of the passage?A)deferred to himB)respected himC)brought him presentsD)shined his shoes What type of government did Ghana have? Which of the following provides the best example of the parts of a system working together to achieve a specific function? A. Red blood cells are capable of transporting oxygen because of their chemical composition.B. Glands in the mouth, the stomach, the pancreas, and the small intestine all secrete chemicals that break down nutrients.C. Specialized cells in a plant's leaf open and close in response to changing conditions Can someone help me with this please Juan has been asked by his study group to summarize what he feels is the major drawback of the Social Readjustment Rating Scale (SRRS) first proposed by Holmes and Rahe. After looking through his notes he explains that it: Did the Cherokee practice of assimilating in to white culture improve their relations with the American government?Yes. The American government negotiated with the Cherokee as if they were a foreign nation with equal status.Yes. The American government supported the Cherokee culture and for the most part left them alone.No. The Cherokee faced westward removal despite multiple legal battlesNo. The American government declared war on the Cherokee in the mid-nineteenth century. In 1975, about one-third of American mothers with young children worked outside the home; today almost two-thirds of such mothers are employed.Which sentence paraphrases the source information correctly?A.In 1975, about 1/3 of American mothers with young children worked outside the home; today almost 2/3 of such mothers are employed (Schlosser 4).B."About one-third of American mothers with young children worked outside the home" in 1975, as compared to today (Schlosser 4).C.Today, "almost two-thirds of such mothers are employed," compared to "one-third" in 1975 (Schlosser 4).D.The number of American mothers working outside the home has doubled since 1975 (Schlosser 4). the town halls of havertville and north town are shown on the map if the distance between grid lines represents 1 mile what is the distance between the two town halls? round your answer to the nearest tenth QUICKK!! GIVING BRAINLIEST TO CORRECT ANSWER Sometimes Keiko and I added to the entertainment by playing duets for our guestsa fairly audacious act since most of the time hadn't practiced all week. It never occurred to me then, but I suppose we were just as boring to them as they so often seemed to us.What does the word audacious mean, as it is used in paragraph 22?A. braveB.kindC. magnificent D. respectful Two Years in the Forbidden CityMy first day with Her Majesty was very trying. I did not know just what she wanted or how she wanted things done, and no one seemed willing to tell me, but by watching very closely I was soon able to grasp the situation. After I had finished putting the things in the boxes I did not know whether to take them back to the jewel room or not, or whether to wait until Her Majesty ordered me. Again I was puzzled. I saw she was talking to my mother, so I waited a little time. Finally I made up my mind I would risk it and take them back, which I did. As I was returning, I met Her Majesty in the big courtyard. When Her Majesty saw me, she asked me, "Where have you been?" I told her that I had just been putting her jewels away. Then she said, "Has anyone told you to put them away as soon as I am finished with them? I forgot to tell you this morning, although I had meant to."I said that no one had told me anything. I said that I was afraid to have the servants taking such valuable things here and there. I said that I was sure that she did not want to use them any more, so I thought it would be safer to put them away in the jewel room again. Her Majesty looked at me and said, "l can see that these girls don't tell you anything. I am very glad to see that you have done just the right thing. That is why I thought someone must have told you what to do. Anything you want to know you can ask me." I could see from this that there must be some jealousy among them and decided that I was well able to find my own way. I knew Her Majesty liked me and would help me out.Why does the writer say that the servants are jealous of each other?A. Because the servants tell her how to do her job incorrectlyB. Because no one offers to tell her how to do her jobC. Because some servants treat her better than others