A. 4x-6y-14 = 0
Math & Reasoning:
You cannot simplify 4x-6y=14 any other way than subtracting 14 from both sides. You could solve for X and Y, but it'd be a long process and by the time you did that you would have it in it's most simplified form.
Fundamentally you can get there using the identity
... sin(a)² + cos(a)² = 1
... 1/cosec(a)² + 1/k² = 1 . . . . . substituting for sec(a) and sin(a)
... 1/cosec(a)² = 1 - 1/k² = (k² -1)/k² . . . . subtract 1/k²
... cosec(a)² = k²/(k² -1) . . . . . Multiply by cosec(a)²k²/(k²-1)
... cosec(a) = k/√(k²-1) . . . . . .take the square root
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You can get there slightly faster using the identities tan²=sec²-1; csc=sec/tan.
Answer:
A: 4 / 24 (or 1/6) B: (24 - 3) / 24 = 21/24 (or 7/8) C and D: Theoretical probability for each number is 1/6 on each roll, and we expect 4 occurrences of each number, on average. 2 came up as expected. 6 came up 3/4 as often as expected. Or "Not-6" came up 21 instead of 20 times, slightly more often than expected.
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = -
, hence
y = -
x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = -
x - 3 ← is the equation of the line