Answer:
P U Q = {2, 3, 4, 5, 6, 7, 8, 9, 10}
P ∩ Q = {4, 6, 8}
Step-by-step explanation:
P = {2x, for 1 <= x <= 5}
P = {2, 4, 6, 8, 10}
Q = {x + 1, for 2 <= x <= 8}
Q = {3, 4, 5, 6, 7, 8, 9}
27
By the theorem of intersecting secant and tangent out side of a circle, we have:
The given graph represents a function between hours and miles.
To determine the equation that belong to this graph, first we need to find the slope using two points from the graph: (0, 105) and (3, 0).
The definition of slope is
Notice that the slope is -35. Remember that the slope is always the coefficient of variable . So, the choice that has this slope is the right answer.
Therefore, the right answer is the last choice: y = -35x + 105
(-3,-4)
The vertex is the point where the two rays meet
The vertex is x=-3, y= =-4
5x-y=-6.............1
y=-7x+6...........2
substituting value of y in equation 1
5x-(-7x+6)=-6
5x+7x-6=-6
12x=0
x=0/12=0
substituting value of x in equation 1
5×0-y=-6
y=6