Answer:
k = -3 or 5
Step-by-step explanation:
The given parameters are;
The line extends from points (-1, 1) to point (2, k)
The length of the line = 5 units
The formula for the length, l, of a line given its coordinates can be found by the following formula;

Therefore, we have;

Which, by squaring both sides, gives;
25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²
25 = (k - 1)² + 3² = k² - 2·k + 1 + 9
25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15
0 = k² - 2·k - 15
0 = (k +3) × (k - 5)
Therefore, k = -3 or 5
When k - -3, we have;

When k = 5, we have;

9514 1404 393
Answer:
- tan B = 12/5
- cos B = 5/13
- sin B = 12/13
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
Answer:
The answer is B both players have 1/4 of chance of winning so it is a fair game
Step-by-step explanation: