Answer:
i believe your answer is.
4,789,658,950
Step-by-step explanation:
1. Rationalise the denominator
(20+10i+10i-5)/2^2-i^2
2. Collect like terms
((20-5)+(10i+10i))/2^2-i^2
3. Simplify (20-5)+(10i+10i) to 15+20i
15+20i/2^2-i^2
4. Simplify 2^2 to 4
15+20i/4-i^2
5. Use square rule
15+20i/4-(-1)
6. Simplify brackets
15+20i/4+1
7. Simplify 4+1 to 4
15+20i/5
8. Factor out the common term 5
5(2+4i)/5
9. Cancel 5
3+4i
10. Your final answer
3+4i
Have a nice day ;D
Answer:
Sara could list the factors of 18 and 30 then find the greatest value the lists have in common. The length of the longest equal-sized pieces she can cut from both boards, with no wood left over, is 4.8 inches. She will be able to cut 3.75 pieces from the 18-inch board and 2.08 pieces from the 30 inch board. She would have enough wood to cut 10-equal pieces for he club project.
Explination:
I've explained everything in the comments. :)
Answer: -x-1 and -9x+9
Step-by-step explanation:
Answer:
No, the sides do not satisfy the triangle.
Step-by-step explanation:
OK, so you can use either use the Pythagorean Theorem or the 45-45-90 Triangle Theorem to find the answer to the question. I am going to use both in this explanation to help you see how they can be used.
Pythagorean Theorem:
![a^{2}+b^{2}=c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%2Bb%5E%7B2%7D%3Dc%5E%7B2%7D)
45-45-90 Triangle Theorem:
a = b and
or ![b\sqrt{2}](https://tex.z-dn.net/?f=b%5Csqrt%7B2%7D)
Use Pythagorean Theorem:
So
,
, and
.
?
(4×3) + (4×3) = 36 ?
12 + 12 ≠ 36
24 ≠ 36
Sides do not satisfy the triangle.
Use 45-45-90 Triangle Theorem:
?
? no
Sides do not satisfy the triangle.