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erma4kov [3.2K]
3 years ago
14

2p-q=0 find the subject formula for p and q

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0
2p-q=0 => 2p=q => q/p=2
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Convert the complex number z = 4 - 10i from rectangular form to polar form.​
mrs_skeptik [129]

ANSWER

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

EXPLANATION

The polar form of a complex number ,

z = x + yi

is given by:

z = r( \cos( \theta)  + i \sin( \theta) )

where

r =  \sqrt{ {x}^{2} +  {y}^{2}  }

The given complex number is:

z = 4 - 10i

r =  \sqrt{ {4}^{2}  +  {( - 10)}^{2} }

r =  \sqrt{16  + 100}

r =  \sqrt{116}  = 2 \sqrt{29}

And

\theta=  \tan^{ - 1}(\frac{ y}{x} )

\theta=  \tan^{ - 1}(\frac{  - 10}{4} )

\theta=  292 \degree

Hence the polar form is :

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

6 0
3 years ago
Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $21
rodikova [14]

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

6 0
3 years ago
X≥1 x≤7 y≥-1/3x+6
Goshia [24]

Answer:

Step-by-step explanation:

i am unsure of what you actually need, but i want to help you.

if you were to set the boundaries of the feasibility region it would be as follows:

as points

A(1, 17/3)   B(7, 11/3)   C(7, infinity)   D(1, infinity)

as graphs

y=-1/3x+6 where 1≤x≤7

x=1

x=7

7 0
3 years ago
Read 2 more answers
Maya runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
andreev551 [17]

Answer:

5.6 miles.

Step-by-step explanation:

7/80=x/64 is our equation

Cross multiply to solve for x

x=7*64/80

x=5.6mi

Hope this helps ^-^

7 0
3 years ago
Read 2 more answers
Geometry, please answer question ASAP
mestny [16]

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = \frac{opposite}{adjacent} = \frac{AB}{BC} = \frac{c}{a} , then

C = tan^{-1} (\frac{c}{a} )

7 0
3 years ago
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