Define unit vectors along the x-axis and the y-axis as
respectively.
Then the vector from P to Q is
In component form, the vector PQ is (-8,5).
The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434
Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).
Answer:
Evaluate 8P6 P 6 8 using the formula nPr=n!(n−r)! P r n = n ! ( n - r ) ! . 8!(8−6)! 8 ! ( 8 - 6 ) ! Subtract 6 6 from 8 8 . 8!(2)! 8 ! ( 2 ) ! Simplify 8!(2)! 8 !
Step-by-step explanation:
evaluate" usually means to put a value in for the variable, but you don't give us a value for p. also, it is unclear if you ...
Answer:
6.25 pi cm^2
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
We know the circumference is 5 pi
5 pi = 2 * pi *r
Divide each side by pi
5 pi/pi = 2 * pi *r/pi
5 = 2r
Divide by 2
5/2 = 2r/2
2.5 = r
We need to find the area of the circle
The area is given by
A = pi * r^2
= pi * (2/5)^2
= pi *6.25
= 6.25 pi cm^2
Let
Present age of Sana = s
Present age of Mona = m
Sana is senior to Mona by 18 years
s=m+18............(1)
After 6 years
Sana will be = s+6
Mona will be = m+6
Then
Sana will be twice as old as Mona
(s+6)=2(m+6)
s+6=2m+12
s=2m+12-6
s=2m+6.............(2)
Put the value of s from (2) to (1)
2m+6=m+18
2m-m=18-6
m=12
Put the value of m in (1)
s=m+18
s=12+18
s=30
Present age of Sana = s = 30 years old
Present age of Mona = m = 12 years old
F(5) is equal to 17.
f(5)= 3(5)+2= 17
