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alexdok [17]
3 years ago
12

Complete solutions to 2-variable ec

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

x=-1/3=10/3    y=-3x+10

Step-by-step explanation:

1. distribute

y+2=-3x+12

2. subtract 2

y=-3x+10

1.subtract 12

y-10=-3x

2. divide by -3

-1/3y+10/3=x

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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

5 0
3 years ago
This question is worth 4 points: what does the p in the example below mean? (p &lt; .05) the finding has a 95% chance of being t
Art [367]
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6 0
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6 0
3 years ago
Need help with Geometry!
Triss [41]

Answer:

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Step-by-step explanation:

m∠1 = 53°

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8 0
3 years ago
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lesantik [10]

Answer:

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3 0
3 years ago
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