Answer: see last picture
Step-by-step explanation:
We see that the y-intercept is 10 and the slope is -3
so when x = 0, y = 10
Graph this first point (picture 1)
Since the slope is -3, every time you go one unit to the left, you go down 3 units, so graph this second point (picture 2)
Continue this until you have no more room on the graph (picture 3)
now draw a line through the dots (picture 4)
2x X 54 is going to be 108x
since both are positive you will get a positive #
54 X 2 is 108
The <em><u>correct answer</u></em> is:
Any real number for x except 5, and any real number for y.
Explanation:
A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value. This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.
This means that 5 cannot be used for x in the other ordered pair.
Since there is no restriction on y in order to be a function, y can be any real number.
Answer:
Resultant vector of two vectors is (0, 0).
Step-by-step explanation:
in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.
We can represent these vectors in the form of
and 
Now the resultant of these vectors will be = A + A'
A + A' = +
So the resultant vector = (0 + 0)
Therefore the resultant will be (0, 0)
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by
