Which set of ordered pairs is not a function? A. (3, 1), (–1,1), (1, 1), (3, −1) B. (–3, 1), (–1, 1), (1, 1), (3, 1) C. (–3, 1),
mash [69]
A set is NOT a function when there's an x-coordinate that is repeated, so let's check who is who.
Answer:
Step-by-step explanation:
First, you can reduce it
4(n^2-11n+30)
This should make it easier to work with. But remember, keep the 4 there. You cannot just get rid of it because it would change the value of the equation
Now find factors of 30 that have a difference or ad up to 11.
Factors of 30:
1, 30
2, 15
3, 10
5, 6
Ahh yes, 5 and 6 add to 11
4(n-5)(n-6)
Distance travelled in 30 minutes = 1/3 miles
Distance travelled in 1 minute = 1/(3 × 30)
Distance travelled in 60 minutes = (1 × 60)/(3 × 30)
= 2/3 miles
Let <em>a</em> and <em>b</em> be the two numbers. Then
<em>a</em> + <em>b</em> = -4
<em>a b</em> = -2
Solve the second equation for <em>b</em> :
<em>b</em> = -2/<em>a</em>
Substitute this into the first equation:
<em>a</em> - 2/<em>a</em> = -4
Multiply both sides by <em>a</em> :
<em>a</em>² - 2 = -4<em>a</em>
Move 4<em>a</em> to the left side:
<em>a</em>² + 4<em>a</em> - 2 = 0
Use the quadratic formula to solve for <em>a</em> :
<em>a</em> = (-4 ± √(4² - 4(-2))) / 2
<em>a</em> = -2 ± √6
If <em>a</em> = -2 + √6, then
-2 + √6 + <em>b</em> = -4
<em>b</em> = -2 - √6
In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.
The area of the semicircle is 14.1372
