Answer:
a. Yes
b. No
Step-by-step explanation:
To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.
1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:
1 is greater than or equal to 1, so (3,1) is a solution.
2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:
However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.
Answer:
Step-by-step explanation:
Use Distance Formula
Substitute
Simplify
Simplify
Add
1. The slope of the ramp is √145
2. The pitch of the roof is √10
3. The grade is the road is √ 10064
Answer:
326.85 ft^2
Explanation:
The area of a circle is A=πr2
If we substitute the value of 10.2 feet into this formula we get 326.85 ft^2
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
