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miv72
9 days ago
16

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x

– 18 32 = 2x 16 = x Use the drops-downs to justify how Heidi arrived at each step. Step 1: Step 2: Step 3: Step 4: Step 5:
Mathematics
2 answers:
AnnZ [3.9K]9 days ago
6 0

Answer:

Utilize the dropdowns to rationalize how Heidi progressed through each step.

Step 1: distributive property

Step 2: combine like terms

Step 3: subtraction property of equality

Step 4: addition property of equality

Step 5: division property of equality

Hit the THANKS button, please.

Leona [4.1K]9 days ago
3 0

Step 1: apply the distributive property.

Step 2: combine like terms.

Step 3: use the subtraction property of equality.

Step 4: utilize the addition property of equality.

Step 5: employ the division property of equality.

I hope this is helpful.

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14 days ago
If G is the midpoint of FH find FG<br>fg=11x-7 gh= 3x+9
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Solution:

Given that

G being the midpoint of FH implies

FG=GH

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FG=11x-7 ,GH= 3x+9

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Charla works at a clothing store. Her pay is calculated using the formula
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3 days ago
Finally, suppose m1→∞, while m2 remains finite. what value does the the magnitude of the tension approach?
AnnZ [3900]
The tension does not approach infinity.
<span>Let's analyze free body diagrams (FBDs) for each mass, considering the direction of motion of m₁ as positive.

For m₁: m₁*g - T = m₁*a

For m₂: T - m₂*g = m₂*a

Assuming a massless cord and pulley without friction, the accelerations are the same.

From the second equation: a = (T - m₂*g) / m₂

Substitute into the first:
m₁*g - T = m₁ * [(T - m₂*g) / m₂]
Rearranging:
m₁*g - T = (m₁*T)/m₂ - m₁*g
2*m₁*g = T * (1 + m₁/m₂)
2*m₁*m₂*g = T * (m₂ + m₁)
T = (2*m₁*m₂*g) / (m₂ + m₁)
Taking the limit as m₁ approaches infinity:
T = 2*m₂*g

This aligns with intuition since the greatest acceleration m₁ can have is -g. The cord then accelerates m₂ upward at g while gravity acts downward, leading to a maximum upward acceleration of 2*g for m₁.</span>
5 0
14 days ago
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