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charle [14.2K]
2 years ago
13

NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.​

Mathematics
1 answer:
NemiM [27]2 years ago
3 0
Step: Solve x = −2 for x:

x = −2

Step: Substitute −2 for x in 3x + y = 8:

3x+y=8

(3)(−2)+y=8

y−6=8(Simplify both sides of the equation)

y−6=8 (Add 6 to both sides)
+6 +6

y = 14

Answer:
x = −2
and
y = 14

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san4es73 [151]

Answer:

  1. 625,000 J

  2. 100 J

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Step-by-step explanation:

You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².

To reduce confusion between <em>m</em> for mass and m for meters, we'll use an <em>italic m</em> for mass.

In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.

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1. KE = (1/2)<em>m</em>v² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J

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2. KE = (1/2)<em>m</em>v² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J

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4. KE = (1/2)<em>m</em>v²

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5. KE = (1/2)<em>m</em>v²

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Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

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• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

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