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3 years ago

Please help me out and explain it to me

Mathematics

1 answer:

a_sh-v [17]3 years ago

8 0

Answer: C

Step-by-step explanation:

You can solve this by first multiplying both sides of the fraction by the conjugate of the denominator.

In this case, the conjugate is (8 - 2i).

So:

$\frac{3-5i}{8+2i} *\frac{8-2i}{8-2i}$

Simplify:

$\frac{24-46i+10i^2}{64 - 4i^2}$

Simplify again, knowing that i^2 = -1

$\frac{14 -46i}{68}$

Then, divide both numbers in the numerator by 68 to get your answer.

$\frac{7}{34} -\frac{23i}{34}$

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Please help. I don't understand

Andreas93 [3]

Answer:

Length of third side is: $\mathbf{8m^3-4m^2+3m}$

Step-by-step explanation:

Perimeter of triangle = $18m^3+2m^2-m$

Length of side 1= $5m^3+3m^2-2m$

Length of side 2= $5m^3+3m^2-2m$

We need to find length of third side.

The formula used is: $Perimeter \:of\:triangle=Sum\:of\:all\:sides$

Putting values and finding length of third side.

$Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m$

So, Length of third side is: $\mathbf{8m^3-4m^2+3m}$

5 0

3 years ago

Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.

Natali [406]

Answer:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

5 0

3 years ago

Points F,G, and H are collinear such that FG:FH=2/3.If a directed line segment begins at F(-3,2) and ends at H (-3,7), find the

Nana76 [90]

We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).

8 0

3 years ago

Let the function f(x) have the form fx) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of

slava [35]

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

$f(x) = A \cos(x+C).$

A is called the amplitude of the given function.

We can read from the graph that, the function ranges between:

-4 and 4

This implies that:

$|A| = 4$

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

8 0

3 years ago

Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }

AleksAgata [21]

Answer:

{x | x < - 35 / 2}

Step-by-step explanation:

-4x / 7 > 10

Multiply both sides by 7

-4x /7 * 7 > 10 * 7

-4x > 70

Divide both sides by - 4

-4x / - 4 > 70 / - 4

x < - 35 / 2 (inequality sign changes)

3 0

3 years ago

Please help me out and explain it to me​

Please help me out and explain it to me