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3 years ago

-3.8x = -7.4 Is x=2 is a solution

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

No

The anser is x= -11,2

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Simplify (Are all division) 2+4i 3i 3+2i 4+i 2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

6 0

3 years ago

How do you do this trig problem.

loris [4]

Consider a right triangle in which one of the angles $\theta$ satisfies

$\sin\theta=\dfrac35\implies\theta=\sin^{-1}\dfrac35$

That is, the side opposite $\theta$ occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to $\theta$ then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,

$\cos\theta=\dfrac45$

because

$\sin^2\theta+\cos^2\theta=\dfrac9{25}+\dfrac{16}{25}=1$

Then in this triangle,

$\cot\theta=\cot\left(\sin^{-1}\dfrac35\right)=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac45}{\frac35}=\dfrac43$

7 0

3 years ago

Please help :)

amm1812

The answer is 294 i know cause i just took it

6 0

3 years ago

tina saved 25 more dimes than nickels. she saved 6 times as many dimes as nickels. how much money did she save in all

nikklg [1K]

25 ÷ (6 - 1) = 25 ÷ 5 = 5, she saved 5 nickels,

5 nickels = 5 × 5 = 25 cents = $0.25

5 + 25 = 30, she saved 30 dimes, 30 dimes = 300 cents = 3 dollars.

3 + 0.25 = $3.25, she saved $3.25 in all.

4 0

3 years ago

Read 2 more answers

Which statements are true of the graph of h(x) = 3/4-4? Check all that apply.

Dmitriy789 [7]

Answer:

the answers are : A , B , and E. i just took the assignment.

Step-by-step explanation:

5 0

3 years ago