Answer:
![(x+3\sqrt{2})(x-3\sqrt{2})](https://tex.z-dn.net/?f=%28x%2B3%5Csqrt%7B2%7D%29%28x-3%5Csqrt%7B2%7D%29)
Step-by-step explanation:
The given expression is
.
The technique that can be used to factor this polynomial is the difference of two squares.
We rewrite the two expressions as;
![x^2-(\sqrt{18})^2](https://tex.z-dn.net/?f=x%5E2-%28%5Csqrt%7B18%7D%29%5E2)
Recall that;
![a^2-b^2=(a+b)(a-b)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29)
![x^2-(\sqrt{18})^2=(x+\sqrt{18})(x-\sqrt{18})](https://tex.z-dn.net/?f=x%5E2-%28%5Csqrt%7B18%7D%29%5E2%3D%28x%2B%5Csqrt%7B18%7D%29%28x-%5Csqrt%7B18%7D%29)
![x^2-(\sqrt{18})^2=(x+3\sqrt{2})(x-3\sqrt{2})](https://tex.z-dn.net/?f=x%5E2-%28%5Csqrt%7B18%7D%29%5E2%3D%28x%2B3%5Csqrt%7B2%7D%29%28x-3%5Csqrt%7B2%7D%29)
Answer:
D.
Step-by-step explanation:
<FIL and <AIN are Vertical angles.
Vertical angles are always congruent.
Congruent means the same or equal.
Answer:
a. N=25
b. X[bar]= 60.52
c. Y[bar]= 106.72
d. SSx= 115.24
e. ∑X*∑Y = 4036684
f. SSxy= 202020.3296
g. √(SSx*SSy)= 449.46
Step-by-step explanation:
Hello!
Using the attached data you need to calculate some statistics.
a) N
The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.
b.
The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52
∑X is listed in the second table.
c.
The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72
∑Y is listed in the second table.
d.
Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24
e.
∑X*∑Y =1513*2668= 4036684
f.
SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296
g.
√(SSx*SSy)= √(115.24*1753)= 449.46
I hope you have a SUPER day!
Answer:
m = 4
you can find the answer for this on m a t h w a y (without the spaces)
I hope this helps!
Answer: Definition of Vertical Angles.