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nordsb [41]
3 years ago
13

Rationalize the denominator of square root of negative 4 over open parentheses 7 minus 3 i close parentheses plus open parenthes

es 2 plus 5 i
Mathematics
2 answers:
Naily [24]3 years ago
6 0

Answer:

sqrt(-49) / [ (7-2i) - (4+9i) ]

= 7i / (3 - 11i)

= 7i (3+11i) / [ (3 - 11i) (3 + 11i) ]

= (21 i - 77) / (9 + 121) = choice (d), (-77 + 21i) / 130

Step-by-step explanation:

:) hope i helped

Elenna [48]3 years ago
3 0

Answer:

quantity of 16 plus 18 i over 145

Step-by-step explanation:

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For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th
Reptile [31]

Answer:

  (a)  (x-2)^2 +(y-2)^2 = 16

  (b)  r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

  Circle centered at (h, k) with radius r:

  (x -h)^2 +(y -k)^2 = r^2

The given circle is ...

  (x -2)^2 +(y -2)^2 = 16

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(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

  r = 2

6 0
3 years ago
How can we eliminate an imaginary from the denominator? Simplify 2/(3+5i) to demonstrate.
alexira [117]
Multiply by the conjugate and simplify
3/17 - 5i/17

Hope this helps! :)
7 0
3 years ago
Need help please real fast will give brainlist
viktelen [127]

Answer:

-2

Step-by-step explanation:

Hope it helps

4 0
3 years ago
Megan and noah were splitting nachos. Megan ate 1/4 of the nachos and noah ate 5/12 of the nachps. What fraction of the nachos d
VladimirAG [237]

Answer:

3/5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cube has a side length of x inches. What expression represents the total volume, in cubic inches, of the cube?
Pie

Answer:

Volume = x^3 cubic inches

Step-by-step explanation:

A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.

We know,

Volume = area of base * height

THe base is a square and the area is side * side. We know each side is x, so we have:

Area of Square = Area of Base = x * x = x^2

Now, we know height is also same side length, x, thus the volume becomes:

Volume = area of base * height

Volume = x^2*x

We add the exponents when we have same base multiplied, so the expression for volume becomes:

Volume = x^2*x=x^3

8 0
3 years ago
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