For both problems, we can use the section formula.
1) 
2) 
Answer:
从 1 到 20 有 8 个素数。它们列在下面：2、3、5、7、11、13、17 和 19。
Answer:
Suppose that you have a square of side length x, the area of this square will be:
A = x^2.
Now, by dynamics, we know that the position of an object that is falling down from a height H, can be written as:
H(t) = (-g/2)*t^2 + H.
We can see a pattern, x^2 is used in both.
Now, profit can be also modeled with quadratic equations, where our objective is to find the maximum of the quadratic (so we can have the maximum profit)
Then the parent function that is useful for gravity, calculating area and profit is the quadratic function:
f(x) = x^2
Answer:
100
Step-by-step explanation:
Given that 2 ap's have same common difference
given that their 100th terms difference is 100
let the first no. of first series be a1 and second series be a2
then, a(1)100 - a(2)100=100 ---- 1
for 1st series ---- a100=a1+99d
2nd series ---- a100 = a2+99d
keep these values in (1)
then,
a1+99d - (a2+99d) = 100
a1+99d-a2-99d=100
therefore, a1-a2 =100 ------------------------------------------- 2
then the difference between their 1000th terms is
for 1st series --- a1000 = a1+999d
for 2nd series --- a1000 = a2+999d
their 100th terms difference is
a(1)1000-a(2)1000
a1+999d-(a2+999d)
a1+999d-a2-999d
therefore we get the value a1-a2
from (2) a1-a2 = 100
therefore the difference between their 1000th terms is 100
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Answer:
y represents the total amount he spent in x amount of rides+ the $10 fee.
Step-by-step explanation:
At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.
x=1, y=12
x=2, y=14
x=3, y=16
... and so on.
