the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
well
Well you'd use the distance formula for each pair of points:
d = sq.root of((x2 - x1)^2 + (y2-y1)^2)
(1) For the points (-5,6) and (-5,-2):
d = sq.root of((-5-(-5))^2 + (-2-6)^2)
= sq.root of (0 + 64)
= 8
(2) For the points (-5,-2) and (1,-2):
d = sq.root of((1-(-5))^2 + (-2-(-2))^2)
= sq.root of (36 + 0)
= 6
(3) For the points (1,-2) and (-5,6):
d = sq.root of((-5-1)^2 + (6-(-2))^2)
= sq.root of(36 + 64)
= sq.root of(100)
= 10
Therefor the length of the longest side is 10 units
Answer:
D
Step-by-step explanation:
The graph in the picture given is obviously a function of f(x) = x^3 which answers whether the graph is a function or not. In addition, the answer the part on why it's a graph, it's because it passes the vertical line test.
Answer: 1.08T and (1+8/100)T
Step-by-step explanation:
Given: The average temperature two Sundays ago was T degrees Celsius.
Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.
⇒ The average temperature last Sunday
Since 8%=0.08
Therefore, The average temperature last Sunday
⇒ The average temperature last Sunday
⇒ The average temperature last Sunday
⇒ The average temperature last Sunday
Thus, the right option is 1.08T and (1+8/100)T
Answer:
180
Step-by-step explanation:
20 x 9 = 180
Let me know if you need more help!
