Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
f- 2 = 6(d-2)
f - 2 = 6d - 12
f = 6d - 12 + 2
f = 6d - 10 .................................... eq 1
f + 18 = 2(d+18)
f + 18 = 2d + 36
f= 2d + 36 - 18
f = d + 18 .......................................... eq 2
eq1=eq2
6d - 10 = 2d + 18
6d - 2d = 18 + 10
4d = 28
d = 28/4
d = 7 yrs is the daughter's age
Take eq 1
f = 6(7) - 10
f = 42 - 10
f = 32 yrs is Father's age
Answer:
6.71
Step-by-step explanation:
Use the Pythagorean Theorem with the triangle:
6^2 + 3^2 = x^2
x = 6.71
Answer:
The required explicit formula is A(n)= 4-4n
10th term of arithmetic sequence is (-36)
Step-by-step explanation:
Given arithmetic sequence is 8,4,0,-4,-8......
The arithmetic sequence is given by a,a+d,a+2d.......a+(n-1)d
Comparing both the sequence we get,
a=8 and a+d=4
For value of d:
d+a=4
d=4-8=(-4)
The explicit formula is given by : A(n)= a+(n-1)d
A(n)= a+(n-1)d
A(n)= 8+(n-1)(-4)
A(n)= 8-4n+4
A(n)= 4-4n
Therefore, The required explicit formula is A(n)= 4-4n
To find value of 10 th term:
Take n=10 in explicit formula
A(10)= 4-4(10)
A(10)= -36
Therefore, 10th term is (-36)
