Hello :
| -4-√2i | = √((-4)² +(-√2)²) =√(16+2) =√18 = √(9×2) = √9 × √2 = 3<span>√2.. (answer B)</span>
Hey there! :D
36/6= 6
From this scale, we know that x has to be 42/6. Since the bigger triangle has a scale of 6 with the similar smaller triangle.
42/6=7
So, x=7
I hope this helps!
~kaikers
Is there a picture that goes along with this question.
Answer:
Sum of 100 terms of the sequence = 15050
Step-by-step explanation:
Given expression which represents a sequence is,

So the sequence will be,
2, 5, 8, 11, 14..........
So, the given sequence is an arithmetic sequence with,
First term of the sequence 'a' = 2
Common difference 'd' = 5 - 2 = 3
Sum of 'n' terms of an arithmetic sequence is given by,
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Here, n = number of terms
a = first term
d = common difference
= ![\frac{100}{2}[2(2)+(100-1)(3)]](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B2%7D%5B2%282%29%2B%28100-1%29%283%29%5D)
= 50[4 + 297]
= 15050
Therefore, sum of 100 terms of the sequence = 15050
<span>A rectangle has two pairs of sides of equal length. </span>
<span>So perimeter P = 2ft + 18in + 2ft + 18in </span>
<span>The units have to be all the same to add them so.... </span>
<span>P = 2ft + 1.5ft + 2ft + 1.5 ft </span>
<span>P = 7 ft. </span>
<span>So the board would have to be 7 feet to make a 2ft x 1.5ft picture frame.</span>