Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Find the value of x.
X + 11
X-1
B
8
10
E
x=

Find The Value Of X X 11 X1 B 8 10 E X class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The product of secant lengths to the two intersection points is the same for both secants.

  (AD)(AE) = (AB)(AC)

  8(8+10) = (x-1)(x-1 +x+11)

  144 = 2x^2 +8x -10

  x^2 +4x -77 = 0

  (x +11)(x -7) = 0

Solutions to this quadratic are x = -11, x = 7. (These values make the factors zero.) Only the positive solution is useful here

  x = 7

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.