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
Alekssandra [29.7K]
3 years ago
15

Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\
5=\sqrt{(-1-2)^2+(-2-y_1)^2}\\
\sqrt{9+4+4y_1+y_1^2}=5\\
y_1^2+4y_1+13=25\\
y_1^2+4y_1-12=0\\
y_1^2+6y_1-2y_1-12=0\\
y_1(y_1+6)-2(y_1+6)=0\\
(y_1-2)(y_1+6)=0\\
y_1=2 \vee y_1=-6\\\\
\boxed{(2,2),(-6,2)}


You might be interested in
8x-2=4+5x<br><br> Solve for x
DochEvi [55]
8x-2=4+5x\ \  \ |add\ 2\ to\ both\ sides\\8x=6+5x\ \ \ \ |subtract\ 5x]\ from\ both\ sides\\3x=6\ \ \ \ |divide\ both\ sides\ by\ 3\\\boxed{x=2}
4 0
3 years ago
Read 2 more answers
Sam watched television the past five nights for 42 minutes, 23 minutes, 56 minutes, 19 minutes, and 67 minutes. What was the med
guajiro [1.7K]

Answer:

42 minutes is the median amount of time

Step-by-step explanation:

The Median is the middle value of data set.

If there is "odd" number of numbers, and there are n numbers, the median is:

(n/2) + 1 th  number

If there is "even" number of numbers, and there are n numbers, the median is:

Average of n/2th and (n/2) + 1 th number

Here, we have 5 numbers, so the median would be:

(5/2) + 1 th number

That is

3rd number

But, we need to arrange the numbers from least to greatest. Lets write it:

19, 23, 42, 56, 67

The third number is 42, this is the median

3 0
3 years ago
Solve the equation: 2x=4
nekit [7.7K]

Answer:

x=2

Step-by-step explanation:

2x=4

x=4/2

x=2

4 0
3 years ago
Read 2 more answers
Find f · dr c for the given f and
ruslelena [56]
Parameterize the path \mathcal C by

\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j

with

x(t)=3\cos t
y(t)=3\sin t

and 0\le t\le\pi. Then

\displaystyle\int_{\mathcal C}\mathbf f(x,y)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=\pi}\mathbf f(x(t),y(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt
=\displaystyle\int_0^\pi(9\cos^2t\,\mathbf i+9\sin^2t\,\mathbf j)\cdot(-3\sin t\,\mathbf i+3\cos t\,\mathbf j)\,\mathrm dt
=27\displaystyle\int_0^\pi(\cos t\sin^2t-\sin t\cos^2t)\,\mathrm dt=-18
5 0
3 years ago
Factor completely 4x^2 + 3x - 10.
spin [16.1K]
4x²+3x-10

= 4x² + 8x -5x - 10
= 4x (x+2) -5(x+2)
= (4x-5) (x+2)

Option C
6 0
3 years ago
Read 2 more answers
Other questions:
  • A professor wants to randomly select 4 students to go to the board. She decides to randomly select the fourth student who enters
    14·1 answer
  • Vicky jogged 2.75 miles in .5 hour. what was her average rate of speed in miles?
    14·2 answers
  • Six oranges cost $5.34.How much does 1 orange cost?
    7·2 answers
  • How do i answer this?
    5·1 answer
  • What is the length of the hypotenuse of the right triangle ABC in the figure?
    8·1 answer
  • _______ is when an organ, such as the uterus, slides or sags downward or forward.
    11·1 answer
  • FIND THE CIRCUMFERENCE OF CIRCLE A! (no outside links or ill report you)
    10·1 answer
  • See image help me as fast as possible, please
    7·2 answers
  • Every Month the average number of books borrowed by a class of 24 from a library is 4.What is the total number of books borowed
    6·1 answer
  • Evaluate mathematical problem for one by two<br><img src="https://tex.z-dn.net/?f=%201000%20%20%5Ctimes%2010" id="TexFormula1" t
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!