Answer:
-4/3
Step-by-step explanation:
m1m2=-1
so 3/4*X= -1
3X=-4
x= -4/3
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:
x = -5
x = -12
Step-by-step explanation:
- 7x - 60 = x^2 + 10x
add 7x to both sides
x^2 + 17x = -60
add 60 to both sides
x^2 + 17x + 60 = 0
factorise quadratic
(x + 12) (x + 5) = 0
<em>x = -12</em>
<em>x = -12x = -5</em>
-16, +2 are two nhmbers that multiply to -32 and add to -14