Answer: 
<u>Step-by-Step Explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

Note: hypotenuse not needed for tan

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
Answer:
Step-by-step explanation:
a₆ = a₇+(6-7)d = -4 -(-5) =1
Answer:
y = 3x+9
Step-by-step explanation:
The standard form of equation of a line is in the form y = mx + c
m is the gradient
c is the y intercept
Get the y-intercept
Substitute m = 3 and the point (-2, 3) into the formula y = mx+c
3 = 3(-2) + c
3 = -6+c
c = 3+6
c = 9
Get the required equation;
y = 3x + 9
Hence the required equation is y = 3x+9
The correct answer is y= |x + 1| - 3