Answer:
1. Adjacent 2. Vertical 3. Vertical 4. Neither 5. Adjacent
Step-by-step explanation:
The slope, 45, would be the amount he charges per hour; the y-intercept, 60, would be the fee he gets paid just for showing up.
Since 45 is multiplied by t, the amount of time, this shows us it is the cost per hour. Since that is the slope, the y-intercept must be 60. We know that y-intercepts are where the data intersects the y-axis; we also know they have an x (t, in this case) coordinate of 0. This means 0 hours have passed, which means it is an up front fee.
Answer:
- Function: B
- Not a function: A, C
Step-by-step explanation:
A relation is a function if there is only one y-value for each x-value. If you can draw a vertical line on the graph that intersect more than one point, the relation is not a function. (This is the "vertical line test.")
<h3>Application</h3>
Graph A: there are 3 y-values associated with x=2. Not a function.
Graph B: passes the vertical line test: A function.
Graph C: there are 2 y-values at each of x=1 and x=2. Not a function.
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.