-3 + -3 = 0
-5 + 1 = -4
vector = < 0,-4 >
Answer:
9
Step-by-step explanation:
The table is given below
![\left|\begin{array}{c|cc}x&y\\--&--\\-2&15\\1&6\\2&3\\4&-3\\7&-12\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Ccc%7Dx%26y%5C%5C--%26--%5C%5C-2%2615%5C%5C1%266%5C%5C2%263%5C%5C4%26-3%5C%5C7%26-12%5Cend%7Barray%7D%5Cright%7C)
We can see that the table represents a linear function since by checking its slope.
Using:
- Points (-2,15) and (1,6)
- Points (1,6) and (2,3)
![Slope =\dfrac{6-15}{1-(-2)} =\dfrac{3-6}{2-1}=-3](https://tex.z-dn.net/?f=Slope%20%3D%5Cdfrac%7B6-15%7D%7B1-%28-2%29%7D%20%3D%5Cdfrac%7B3-6%7D%7B2-1%7D%3D-3)
Therefore, the values represent a linear function.
A linear equation is of the form y=mx+b
Therefore:
y=-3x+b
Using the points (7,-12)
![-12=-3(7)+b\\-12=-21+b\\b=-12+21\\b=9](https://tex.z-dn.net/?f=-12%3D-3%287%29%2Bb%5C%5C-12%3D-21%2Bb%5C%5Cb%3D-12%2B21%5C%5Cb%3D9)
Therefore, the y-intercept of the function, represented by the table of values is 9.
Answer/Step-by-step explanation:
Square all three numbers. If the largest number squared is equal to the sum of the squares of the other two, then the numbers form a Pythagorean triple.
<u><em>or</em></u>
Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25
<u><em>either one works</em></u>
It’s equal to 45/100 which equals 9/20
Every 5 minutes, you gain 4 gallons. 45/5 = 9, 9x4 equals 36, there would be 36 gallons of water in 45 minutes