Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
Answer:
40 Stamps
Step-by-step explanation:
According to the scenario, given data are as follows,
Total stamp collected = 343
Stamps from Germany = 296
To estimate the stamps from other contact, we first round off the given number of stamps.
So, Total stamp collected = 340 ( Rounded off)
Stamps from Germany = 300 ( Rounded off)
So, Stamps from other contact = 340 - 300 = 40 stamps
Answer:
591,800,000
Step-by-step explanation:
The 7 in 753,460 is rounded to an 8 because if the number after it is 5 or higher you turn all the numbers after the 7 into a 0 and turn 7 into a 8.
Answer: c) 
.
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that
Given function : 
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that
Since 
then, at x=c, 
From (i) and (ii), we have
Hence, the correct option is c) .
