N = 5m
n = m + 36
since n is equal to both the expression in m we can say:-
5m = m + 36
4m=36
m = 9
and n = 5*9 = 45
Answer:
A -60i - 14j
Step-by-step explanation:
u = -9i + 8j
v = 7i + 5j
2u = 2(-9i + 8j) = -18i + 16j
6v = 6(7i + 5j) = 42i + 30j
2u - 6v
(-18i + 16j) - (42i + 30j)
(-18i - 42i) + (16j-30j)
-60i - 14j
Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10

∴ y=5
∴ the values of x and y are x=0 and y=5
Answer:

Step-by-step explanation:
Given

Recursive: 
Required
Determine the formula
Substitute 2 for n to determine 


Substitute 


Next is to determine the common difference, d;



The nth term of an arithmetic sequence is calculated as

Substitute
and 


Hence, the nth term of the sequence can be calculated using
6x > 4x+26+8
2x > 34<span>
so,
x > 17 </span>