x=3 and x= -2
Step-by-step explanation:
we could simplify it to x*2 + x -6 = 0
then 2 numbers whose sum is 1 and product is -6
the numbers are 3 and -2
Answer: 
Step-by-step explanation:
Given
Sample of 12 measurements has a mean of 16.5 and
a sample of 15 measurements has a mean of 18.6
Take
be the mean and no of measurements
and
be the mean and no of measurements in second case

Similarly,

Mean of 27 measurements

(5x9)-(4x6) if you add parenthese
A: (x + 5i)^2
= (x + 5i)(x + 5i)
= (x)(x) + (x)(5i) + (5i)(x) + (5i)(5i)
= x^2 + 5ix + 5ix + 25i^2
= 25i^2 + 10ix + x^2
B: (x - 5i)^2
= (x + - 5i)(x + - 5i)
= (x)(x) + (x)(- 5i) + (- 5i)(x) + (- 5i)(- 5i)
= x^2 - 5ix - 5ix + 25i^2
= 25i^2 - 10ix + x^2
C: (x - 5i)(x + 5i)
= (x + - 5i)(x + 5i)
= (x)(x) + (x)(5i) + (- 5i)(x) + (- 5i)(5i)
= x^2 + 5ix - 5ix - 25i^2
= 25i^2 + x^2
D: (x + 10i)(x - 15i)
= (x + 10i)(x + - 15i)
= (x)(x) + (x)(- 15i) + (10i)(x) + (10i)(- 15i)
= x^2 - 15ix + 10ix - 150i^2
= - 150i^2 + 5ix + x^2
Hope that helps!!!
You know from similar triangles that ...
KM/KO = LM/LN
(20 +x)/12 = x/8
Multiplying by 24, we get
2(20 +x) = 3x
40 +2x = 3x
Subtracting 2x, we get
40 = x . . . . . . . . . . the measure of LM
The Pythagorean theorem tells us
(LN)² +(NM)² = (LM)²
Substituting known values, this becomes
8² +(NM)² = 40²
(NM)² = 40² -8² = 1600 -64 = 1536
Then the measure of NM is ...
NM = √1536 ≈ 39.19