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faust18 [17]
3 years ago
12

Solve 5x - 3y = 9 for y.

Mathematics
1 answer:
LenKa [72]3 years ago
8 0
5x - 3y = 9
5x = 9 + 3y
5x - 9 = 3y 
( 5x - 9 ) / 3 = y
y = ( 5 / 3x ) - ( 9 / 3 ) ( I just split the common denominator to individual parts ) 
y = 5 / 3x - 3
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I need help asap will mark you brain list. Show your work
Anna11 [10]

Answer:

  • 1/25
  • 1/9

Step-by-step explanation:

<u>Solving exponents</u>

  • a. 5^-2 = 1/5^2 = 1/25
  • b. (3^2)^3/3^8 = 3^6/3^8 = 1/3^2 = 1/9
3 0
4 years ago
Use the polar representation to write the following in the form a + bi (a) (-1+ i)^7 (b) (1+v3i)^10
ira [324]

Answer with Step-by-step explanation:

For any complex number x+iy the polar form is represented as

z=re^{i\theta }

where

r^{2}=x^2+y^2\\\\tan(\theta )=\frac{y}{x}

Part a) x+iy = -1+i

Thus r=\sqrt{-1^2+1^2}=\sqrt{2}\\\\  \theta _{1}=tan^{-1}(\frac{-1}{1})=\frac{-\pi }{4}

Thus using De-Morvier's theorem

(-1+i)^7=(\sqrt{2}e^{i\frac{-\pi }{4}})^7\\\\\therefore (-1+i)^7=2^{7/2}\cdot e^{\frac{i-\pi }{28}}

Part 2) x+iy = 1+3i

Thus r=\sqrt{1^2+3^2}=\sqrt{10}\\\\  \theta _{1}=tan^{-1}(\frac{3}{1})=1.25

Thus using De-Morvier's theorem

(1+3i)^{10}=(\sqrt{10}e^{1.25i})^{10}\\\\\therefore (1+3i)^{10}=10^{5}\cdot e^{12.5i}

3 0
3 years ago
What are two decimals whose product is close to 10?
Elanso [62]
3.162 and 3.162. (3.162 is the rounded square root of 10)
5 0
4 years ago
I need help with this problem please if you can help I would really appreciate it and the problem is number 10
aev [14]

Answer:

g(-5) = -127

Step-by-step explanation:

Plug in -5 for x:

g(-5) = (-5)^3 - 2

= -125 - 2

= -127

4 0
3 years ago
Arliss has two pieces of carpet runner. One is2/13 yards long and the other3/13
Lunna [17]
Solution steps:

1. Add the two given fractions.

2. Subtract the sum from 10 to find your answer.
3 0
3 years ago
Read 2 more answers
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