Answer:
(a)
Step-by-step explanation:
Note the expansion of (x - 5y)² is
(x - 5y)² = x² - 10xy + 25y² , that is
(x - 5y)² = x² + 25y² - 10xy ← substitute given values
(- 16)² = 416 - 10xy
256 = 416 - 10xy ( subtract 416 from both sides )
- 160 = - 10xy ( divide both sides by - 10 )
xy = 16 → (a)
Answer:
AB = 10, BC = 10
Step-by-step explanation:
AB = length of segment AB = sqrt( (-3-5)^2 + (-4-2)^2 ) = sqrt( 64 + 36) = sqrt(100) = 10
BC = sqrt( (5-11)^2 + (2-(-6))^2 ) = sqrt( 36 + 64 ) = sqrt( 100 ) = 10
Answer:


Step-by-step explanation:
Because there are two smaller lines drawn in lines TA and AK, it means that the length of TA is the same as AK.
Hence, 
Subtract 4x from both sides:


Divide both sides by 2:


To find TK,

Answer:
Step-by-step explanation:
The answer is 44