Say x = 12 and y = 4
12 - 4 = 8
Number 1
2(12) - 4(4) = 8
24 - 16 = 8
Number 1 is your Answer
Answer:
D. It has a constant slope.
Step-by-step explanation:
We have to find the characteristic which states that the graph of a function must be linear.
The four characteristics given in the question are;
A. It passes through the origin
B. It crosses the x-axis more than once.
C. It crosses the y-axis exactly once
D. It has a constant slope.
If we consider the first characteristic that it passes through the origin
, then the graph of a function will not be linear because it will contain two variables.
If we consider the second characteristic that it crosses the x-axis more than once
, then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.
If we consider the third characteristic that it crosses the y-axis exactly once
, then the graph of a function will not be linear because it may cross the x-axis twice.
If we consider the fourth characteristic that it has a constant slope
, then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.
There would be only one.
because 1/2 only can only go into 3/4 one time as 2/4ths
SO the answer will be 1.
Answer:
![5^{th} term = 126a^5b^4](https://tex.z-dn.net/?f=5%5E%7Bth%7D%20term%20%20%3D%20126a%5E5b%5E4)
Step-by-step explanation:
![\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\](https://tex.z-dn.net/?f=%5Cleft%28a%2Bb%5Cright%29%5En%3D%5Csum%20_%7Bi%3D0%7D%5En%5Cbinom%7Bn%7D%7Bi%7Da%5E%7B%5Cleft%28n-i%5Cright%29%7Db%5Ei%5C%5C%5C%5C%28a%20%2B%20b%29%5E9%20%3D%5Csum%20_%7Bi%3D0%7D%5E9%5Cbinom%7B9%7D%7Bi%7Da%5E%7B%5Cleft%289-i%5Cright%29%7Db%5Ei%5C%5C%5C%5C)
![=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9](https://tex.z-dn.net/?f=%3Da%5E9%20%2B%209a%5E8b%20%2B%2036a%5E7b%5E2%20%2B%2084a%5E6%20b%5E3%20%2B%20126a%5E5b%5E4%2B%20126a%5E4b%5E5%2B84a%5E3b%5E6%2B%2036a%5E2b%5E7%2B%209ab%5E8%2Bb%5E9)
![5^{th} term = 126a^5b^4](https://tex.z-dn.net/?f=5%5E%7Bth%7D%20term%20%20%3D%20126a%5E5b%5E4)
Answer:
d 5,15,19
Step-by-step explanation:
The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.
__
If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.
(Some authors <em>do</em> allow such a triangle, in which case, there would be two answers here: B and D.)