Step-by-step explanation:
1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function
2: Term
3: Sequence: I don't really know how to explain this besides it's literally the definition
4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation
5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)
6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)
62 inchezzzzzzz so 60-4 = 56 --- 56 +6 = 62
A. 4x+10
B. 9x+3
These are the answers to the questions. You just add the like terms together and BAM! You're answer. Hope this helps (:
Answer:
29. D
30. A
31. C
32. B
33. A
Step-by-step explanation:
The distance between two points on the plane is given by the formula below
![\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%28x_1%2Cy_1%29%2CB%3D%28x_2%2Cy_2%29%20%5C%5C%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D%20%5Cend%7Bgathered%7D)
Therefore, in our case,
Thus,
![\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B%28-1-5%29%5E2%2B%28-3-2%29%5E2%7D%3D%5Csqrt%5B%5D%7B6%5E2%2B5%5E2%7D%3D%5Csqrt%5B%5D%7B36%2B25%7D%3D%5Csqrt%5B%5D%7B61%7D%20%5C%5C%20%5CRightarrow%20d%28A%2CB%29%3D%5Csqrt%5B%5D%7B61%7D%20%5Cend%7Bgathered%7D)
Therefore, the answer is sqrt(61)
In general,
Remember that
Therefore,
