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uranmaximum [27]
3 years ago
14

Rearranging Equations: Solve the equation for y: 8x + y = 14 Solve the equation for x: -9x + 3y = 18

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

y=14-8x

x= -2 + 3y/9x

Step-by-step explanation:

8x+y=14

isolate y so you get:

y=14-8x

-9x+3y=18

isolate x so you get:

-9x=18-3y

divide on both sides to get x by itself

-9x/-9x  18-3y/-9x

x= -2 + 3y/9x

Hope this helps :)

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stellarik [79]

The simplified expression for 6(2( y + x)) is 12y + 12x.

Accordin to the given question.

We have an expression

6(2( y + x))

Therefore,

The simplified expression for 6(2( y + x)) is given by

6(2(y + x))

= 6(2y + 2x)          (by distributive law)

= 12y + 12x              (by distributive law)

Hence, the simplified expression for 6(2( y + x)) is 12y + 12x.

Find out more information about simplified expression here:

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5 0
2 years ago
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evablogger [386]

Answer:

The answer is 6

Step-by-step explanation:

The answer is 6

5 0
3 years ago
The difference between 2 numbers is 26 and one number is 3 Times the other​
Aleks04 [339]

Answer:

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x \: and \: 3x

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ATQ

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3 0
3 years ago
Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco
NikAS [45]

Answer:


Step-by-step explanation:

lets say in the shown triangle x=165

so speed \frac{dx}{dt} =25

and  \frac{dy}{dt} =35


Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = \frac{35\pi \pi }{60}

y = \frac{7\pi }{12}


Now using the pythagorean :

x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2

<u>derivate the equation so  we get :</u>

x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}


\frac{dz}{dt} =25.387 m/s

So Rate of change = <u><em>25.387 m/s</em></u>


5 0
3 years ago
Can you please help me find the missing segment to the triangle in the attached image? Thanks.
Keith_Richards [23]

Answer:

? = 105

Step-by-step explanation:

Use similar triangles and law of proportions.

?/56 = 120/64

?/56 = 15/8

8 * ? = 56 * 15

? = 7 * 15

? = 105

7 0
3 years ago
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