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
mariarad [96]
3 years ago
11

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

You might be interested in
What are the odds of rolling 2 dice and getting the sum of 7?
Yuliya22 [10]

Answer:

1/6

Step-by-step explanation:

favorable over total outcomes

favorable is 6

total is 36

6/36 = 1/6

6 favorable outcomes are:

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

total of 36 outcomes are :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

testbookcom

quora Praneethreddy Ravi Shetye

5 0
2 years ago
5. Angie is mixing together yellow paint and blue paint to make 2 shades of green paint. She fills −4 of can A with yellow paint
trapecia [35]

Answer:

she can pour more paint in in can<u> </u><u>B</u>

Step-by-step explanation:

4 0
3 years ago
Simplest radical form of 5√16​
boyakko [2]
5 square root 16 = 20
6 0
3 years ago
Read 2 more answers
Each floor of a hotel as r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation
Natalka [10]

Answer:

256/8 = r

Step-by-step explanation:

256 room between 8 floors so divide the number of rooms by each floor to work out r

256 divided by 8 equals r

3 0
3 years ago
A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
Rom4ik [11]

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

So that the amount used for the square will be 13−

13

−

x

, or

13−=524+33‾√≈5.655m

5 0
3 years ago
Other questions:
  •  A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of
    10·1 answer
  • PTG has side lengths of 18 cm, 27 cm, and 13 cm. which type of triangle is PTG? The answer is obtuse.
    13·1 answer
  • Help pleaseeeeeeeee​
    11·1 answer
  • if a sprinter runs are distance of hundred metres in 9.83 seconds calculate the speed in kilometre per hour​
    13·1 answer
  • Thank you lol i’m not smart sorry
    5·1 answer
  • Solve each equation using the substitution method.<br><br> 8+=56
    9·1 answer
  • HELP ME TVT I beg you (answer by yes or no)
    6·1 answer
  • Which set of ordered pairs does not represent a function? part 2
    5·2 answers
  • Help me please edddd
    11·2 answers
  • 3+<img src="https://tex.z-dn.net/?f=3%2B%5Csqrt%7B2%7D%2F4%5Csqrt%7B2%7D%2B2" id="TexFormula1" title="3+\sqrt{2}/4\sqrt{2}+2" al
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!