1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tigry1 [53]
2 years ago
6

Point B has coordinates (−4, −2). The x-coordinate of point A is 5. The distance between points A and B is 15 units. What are th

e possible coordinates of point A?
Mathematics
1 answer:
GaryK [48]2 years ago
7 0

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{y})\qquad B(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{AB}{15}=\sqrt{[-4 - 5]^2 + [-2 - y]^2}\implies 15^2=(-9)^2+(-2-y)^2

225=81+(-2-y)(-2-y)\implies 225=81+\stackrel{F~O~I~L}{(4+4y+y^2)} \\\\\\ 144=4+4y+y^2\implies 0=y^2+4y-140\implies 0=(y-10)(y+14) \\\\\\ y= \begin{cases} 10\\ -14 \end{cases}\qquad \qquad \qquad A(5~~,~~10)\qquad A(5~~,~~-14)

You might be interested in
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second rental company charges $20 p
Dahasolnce [82]

Answer:

A

Step-by-step explanation:

If you multiply the price for each mule x the amount of miles + the daily rental, you get the price. If you do this for each option and each car rental then you can see when the answers add up.

.75x56+20=62

.50x56+34=62

8 0
3 years ago
Read 2 more answers
Estimate what is 31.75÷8= you have to estimate tho
Afina-wow [57]
If you estimate, its around 5
5 0
3 years ago
If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Inessa [10]

Answer:

  a- defined term

Step-by-step explanation:

The statement is defining an angle.

5 0
2 years ago
Read 2 more answers
A long-distance athlete can run 1212 kilometer in 3 minutes. How many kilometers can he run in an hour?
Fudgin [204]
He can run 24240 kilometers
4 0
2 years ago
Jose set a goal of saving at least $200 in a savings account. He currently has $60 in the
Dovator [93]
It will take him 28 weeks. If he already has $60 of $200 saved, you would do 200 - 60. That would give you 140. To find out how long it would take him to make $140, you would have to do 140 divided by 5 to get the number of weeks.
4 0
2 years ago
Read 2 more answers
Other questions:
  • Find the product of (x − 3)2.<br> x2 + 6x + 9<br> x2 − 9<br> x2 − 6x + 9<br> x2 + 9
    11·2 answers
  • Solve this problem and show how you got it 25+6-15+25-10+14-21
    11·2 answers
  • A candy factory made 54 boxes of chocolates. Each box weighs 2 pounds. They packed the boxes in 6 cases with the same number of
    10·2 answers
  • A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. Th
    7·2 answers
  • I need help with a-d please (picture provided)
    7·1 answer
  • plzzzzzzzzzzzzzzzzzzzzzzzzzz help plz i really wanna pass this semster so i can go to 10th gradeee im begging plz helpppppppp wi
    15·1 answer
  • {4x − 3y = −32x + 6y = −4 Solve the system of equations.
    9·1 answer
  • Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali
    13·1 answer
  • What are the real solutions to the equation 5x2 + 29x + 20 = 0?<br><br>​
    12·2 answers
  • Can some please help with this
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!