The figure is a right triangle so we can use the Pythagorean theorem to find the third side AKA the hypotenuse.
Pythagorean theorem = a² + b² = c² where A and B are the legs of the triangle and C is the hypotenuse.
39² + 80² = c²
169 + 6400 = c²
6569 = c²
Square root both sides to cancel out the squared variable.
√6569 = √(c²)
√6569 = c
The third side, the hypotenuse, is √6569 units long.
The strategy for these is to look at what these problems are telling you.
It says the y-value, so you know that this is a y = equation.
y = what?
y = 2 more than. 4 is two more than 2, right? So saying it's more than is another way of saying "y is 2 + blah blah."
So y = 2 + what? Three times the x-value. What does that mean? 3*X = 3X.
Thus we arrive at the final answer, y = 3x + 2
Answer:
y=-3x
Step-by-step explanation:
