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
Tpy6a [65]
2 years ago
9

The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre

Mathematics
1 answer:
Monica [59]2 years ago
4 0

Answer:

  (p, q) = (8, 82)

Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

  y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)

  y -b = (-a/b)(x -a)

Rearranging this to standard form, we have ...

  b(y -b) = -a(x -a)

  by -b² = -ax +a²

  ax +by = a² +b²

__

For (a, b) = (5, 4), the standard form equation of the tangent can be written ...

  5x +4y = 5² +4² = 41

Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:

  2(5x +4y) = 2(41)

  10x +8y = 82

Comparing to 10x +py = q, we see that ...

 p = 8

  q = 82

You might be interested in
3+c - (4+c) any1 simplfy?
kati45 [8]

3+c - (4+c)

pretend that there is a -1 in front of the bracket

3+c-1(4+c)

multiply the bracket by -1

(-1)(4)=-4

(-1)(c)=-c

3+c-4-c

3-4+c-c ( combine like terms)

+c-c=0

3-4=-1

-1+0=-1

Answer:

-1

4 0
3 years ago
Need help plzzzzzzzxzzxzx
nasty-shy [4]

Answer:

2239grams

Step-by-step explanation:

4 0
3 years ago
the entry fee to the fair is 4.00 . each rides requires a ticket that cost 0.50 heidi spent a total 12.00 how many ticket did he
Fofino [41]
She bought 16 tickets
3 0
3 years ago
Round 567,433 to the nearest hundred thousand
vesna_86 [32]

567,433 rounded to the nearest hundred thousandth is 600,000.

6 0
3 years ago
Read 2 more answers
3-6+5=what is the value
Dmitry [639]
2 is the value of 3-6+5.
5 0
3 years ago
Other questions:
  • It is possible to divid 15 by a mixed number and get a quotient greater than 15
    9·1 answer
  • PLEASEEE Find the angles
    14·2 answers
  • Tanxsecx-2tanx=0,for all real values of x​
    12·1 answer
  • what is the equation of the line that is parallel to the line y = 5x + 2 and passes through the point (1, -3)
    5·1 answer
  • A researcher wishes to estimate the proportion of all adults who own a cell phone. he takes a random sample of 1,572 adults; 1,2
    7·1 answer
  • Which Property Is Shown? k*(7-9)=(k*7)-(k*9) a. Commutative Property of Multiplication b. Multiplicative Property c. Multiplicat
    12·1 answer
  • an ice Cream truck driver determined he made 3.78 after selling 3 ice CREAM bars (using the equation y=kx) how much would earn i
    6·1 answer
  • Question on the image <br>(with the steps)​
    9·2 answers
  • 1/3 (4+18) -2 to the 2nd power
    13·1 answer
  • What is this thing with the 3 red blades???
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!