Answer:
Use the distance formula. Result: sqrt [ (a-c)^2 + (b-d)^2 ]
Step-by-step explanation:
distance = d = sqrt [ (a-c)^2 + (b-d)^2 ]
Let x/y be the original fraction.
After decreasing the numerator by 50% and decreasing the denominator by 25%, the fraction is:
(x - 0.5x) / (y - 0.25y) = (0.5x) / (0.75y)
= (2/3)(x/y) = 66 2/3% of x/y
So, the fraction decreased by 33 1/3%.
Answer:
CE = 3
Step-by-step explanation:
Given 2 intersecting chords then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
x(x + 1) = 3 × 4 = 12
x² + x = 12 ( subtract 12 from both sides )
x² + x - 12 = 0 ← in standard form
(x + 4)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
But x > 0 so x = 3
Then
CE = x = 3