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Pavel [41]
3 years ago
10

Find the perimeter of a rectangle with sides (3x-5) and (-2x+10)

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0
2(3x-5) + 2(-2x+10)
6x-10 + -4x+ 20

=2x+ 10
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Let z= -5 sqrt 3/2 + 5/2i and w=1 + sqrt 3i
MrRissso [65]

a.

z=-\dfrac{5\sqrt3}2+\dfrac52i=5\left(-\dfrac{\sqrt3}2+\dfrac12i\right)=5e^{i5\pi/6}

w=1+\sqrt3\,i=2\left(\dfrac12+\dfrac{\sqrt3}2i\right)=2e^{i\pi/3}

b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying z and w is as simple as multiplying the moduli and adding the arguments:

zw=5\cdot2e^{i(5\pi/6+\pi/3)}=10e^{i7\pi/6}

c. Similar to (b), except now you divide the moduli and subtract the arguments:

\dfrac zw=\dfrac52e^{i(5\pi/6-\pi/3)}=\dfrac52e^{i\pi/2}

8 0
2 years ago
What two numbers does the product of 1,486 ÷ land on
MrMuchimi
743 times 2 (or doubled) = 1,482 Hope this helps:)
4 0
3 years ago
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1
Alona [7]

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

  • Speed is what it means. the speed of a change in an object's location in any direction.
  • Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
  • Speed is a scalar quantity because it just has a direction and no magnitude.

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

      Speed = distance/time

then,

  x + y = 26/2

  x + y = 13

 x = 13 - y

In return trip took him time "6.5 hours",

       x - y = 26/6.5

      x - y = 4

By substituting the value of "x", we get

 13 - y - y = 4

  13 - 2y = 4

     2y = 13 - 4

        2y = 9

          y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

    x = 13 - a

   x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

Learn more about speed

brainly.com/question/28224010

#SPJ13

4 0
1 year ago
The quotient of three and the quantity of three less than one-sixth of a number x?
UkoKoshka [18]
\frac{3}{\frac{x}{6}-3}=\frac{3}{\frac{x-18}{6}}=3*\frac{6}{x-18}=\frac{18}{x-18}
Good, right?
7 0
3 years ago
Find percent notation.<br> 4/5
Romashka [77]

The Answer to your problem is:

0.8

8 0
3 years ago
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