9514 1404 393
Answer:
A- Triangle 2: {8, 15, 17}
Step-by-step explanation:
You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.
Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".
The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.
(1/2)x + 4 is the expression
If f(x)=2x-1 just plug in the 3 where x is. So it would be 2(3)-1=5
Like this: https://www.desmos.com/calculator/oox8hpz76r
Replace each inequality with an equal sign and graph the corresponding line. Since those inequality symbols do not include the "or equal to" case, graph the line as a dashed line. Then, shade the half of the plane corresponding to the values of x and y that satisfy the inequality. Here, the coefficient of y is positive on the "greater than" side of the inequality, so the plane will be shaded for larger y-values, those above the line in each case.
