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Keith_Richards [23]
3 years ago
9

Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

Step-by-step explanation:

the eqn is 3x-2y+10=0

slope m=-3/-2=3/2 (m=(-xcoeff/ycoeff)

eqn is

y-y1=m(x-x1)

y+5=3/2(x-2)

2y+10=3x-6

3x-2y-16=0

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Richard and Teo have a combined age of 26 . Richard is5 years older than twice​ Teo's age. How old are Richard and​ Teo?
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Answer:Teo's age = 7 years ,Richard's age = 19 years

Step-by-step explanation:

Step 1

Let Teo's age be represented as x

Such that Richard 's age = 5 + 2x

and their combined ages equaling 26 can be expressed as

x + 5+ 2x = 26

Step 2 --- SOLVING

x + 5+ 2x = 26

3x+ 5= 26

3x= 26-5

3x= 21

x = 21/3

x = 7

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What is the solution of the equation over the complex numbers
denis-greek [22]

<u>Answer:</u>

2i\sqrt{3}

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First set the equation to 0

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x^2 + 12 = 0

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

x^2 + 12 = 0

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x^2 = -12

Square root both sides of the equal sign.

x^2 = -12

\sqrt{x^2} = \sqrt{-12}

Take the square root on left sides of the equal sign.

\sqrt{x^2} = \sqrt{-12}

x = \sqrt{-12}

Take the square root on the right side of the equal sign. Remember \sqrt{-1} = i

x = \sqrt{-12}

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<u>AND</u>

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