Answer:
A)
Step-by-step explanation:
Given expression:
To factor the given expression completely.
Solution:
In order to factor the expression, we will factor in pairs.
We will factor the G.C.F of the terms in the pairs.
G.C.F. of and can be given as:
Thus, G.C.F. =
G.C.F. of and can be given as:
Thus, G.C.F. =
The expression after factoring the G.C.F. pairs is given as:
Taking G.C.F. of the whole expression as is a common term.
The expression is completely factored.
Step-by-step explanation:
The distance between any 2 points P(a,b) and
Q(c,d) in the coordinate plane, is given by the formula:<span>
<span> 
</span></span>
Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.
Answer: B and D
Answer:
100
Step-by-step explanation:
We have the sum of first n terms of an AP,
Sn = n/2 [2a+(n−1)d]
Given,
36= 6/2 [2a+(6−1)d]
12=2a+5d ---------(1)
256= 16/2 [2a+(16−1)d]
32=2a+15d ---------(2)
Subtracting, (1) from (2)
32−12=2a+15d−(2a+5d)
20=10d ⟹d=2
Substituting for d in (1),
12=2a+5(2)=2(a+5)
6=a+5 ⟹a=1
∴ The sum of first 10 terms of an AP,
S10 = 10/2 [2(1)+(10−1)2]
S10 =5[2+18]
S10 =100
This is the sum of the first 10 terms.
Hope it will help.
Answer:I’m going with 60 but I might be wrong cuz I did this in my head and I am not good with mental math so
Step-by-step explanation:
Answer:
We can make 3 whole groups of 2.
Hope that helps. x
Step-by-step explanation:
2, 4, 6, 8
The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.
