Answer:
153
Step-by-step explanation:
i = square root of -1
i = √-1
(3+12√-1) (3-12√-1)
√a times √b = √ab
a√b times c√d = (a times c) √ (b times d)
9 - (36√-1) + (36√-1) - (144(√-1)^2) =
9 - 0 - (144 * -1) =
9 - 0 - (-144) =
9 - (-144) =
9 + 144 =
153
*** funny thing is if you put
(3+12i) (3-12i)
in a calculator
it works!
it gives you the answer 153
another way:
Expand the expression using
(a-b) (a+b) =
a²-b² :
3²-(12i)²
Simplify using exponent rule with same exponent
(a*b)^n =
a^n*b^n:
3²-12²* i²
Calculate the power:
9-144* i²
Rewrite by definition
i²=-1:
9–144×(−1)
Calculate the product or quotient: 9+144
Calculate the sum or difference: 153
Answer: 153
gathmath
Answer:
Answer:
50.2
Step-by-step explanation:
![ut = \sqrt{ {6}^{2} + {5}^{2} } \\ \sqrt{36 + 25} \\ \sqrt{61 } \\ using \: cosine \: rule \\ cos \: u = \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times \sqrt{61} } \\ \\ = \frac{25 + 61 - 36}{78} \\ \\ = \frac{50}{78 } \\ \cos \: u = 0.64 \\ m \:u = 50.2](https://tex.z-dn.net/?f=ut%20%3D%20%20%5Csqrt%7B%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%7B5%7D%5E%7B2%7D%20%7D%20%20%20%5C%5C%20%20%5Csqrt%7B36%20%2B%2025%7D%20%20%5C%5C%20%20%5Csqrt%7B61%20%7D%20%20%5C%5C%20using%20%5C%3A%20cosine%20%5C%3A%20rule%20%5C%5C%20cos%20%5C%3A%20u%20%3D%20%20%5Cfrac%7B%20%7B5%7D%5E%7B2%7D%20%2B%2061%20-%2036%20%7D%7B2%20%5Ctimes%205%20%5Ctimes%20%20%5Csqrt%7B61%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B25%20%2B%2061%20-%2036%7D%7B78%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cfrac%7B50%7D%7B78%20%7D%20%20%5C%5C%20%20%5Ccos%20%5C%3A%20u%20%3D%200.64%20%5C%5C%20m%20%5C%3Au%20%3D%2050.2)
Answer:
18/20
Step-by-step explanation:
You just have to multiply by 2
Answer:
20 mm
Step-by-step explanation:
![\frac{48}{40} =\frac{24}{x} \\48x=(40)(24)\\48x=960\\x=20mm](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B40%7D%20%3D%5Cfrac%7B24%7D%7Bx%7D%20%5C%5C48x%3D%2840%29%2824%29%5C%5C48x%3D960%5C%5Cx%3D20mm)
X/4 + b/4
i need some values tho