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KonstantinChe [14]
3 years ago
13

What is the first step to solve this equation: 12-4x=54

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
4 0

Answer:

B. subtract 12 from both sides

Step-by-step explanation:

12-4x=54

<u>-12 -12</u>

<u>-</u><u>4</u><u>x</u><u>=</u><u>4</u><u>2</u>

arsen [322]3 years ago
4 0

Answer:

B. Subtract 12 from both sides

Step-by-step explanation:

You must be confused on why I say this. But hold tight, I have an explanation.

Because 12 is on the front side of the minus sign, it is actually positive. That means you must subtract it from both sides.

But what about 4x? Well, it is actually negative! Because the 12 is reduced to zero, the equation is technically 0 - 4x = 42. However, we just remove the 0 to make -4x = 42.

By the way, the fully solved equation is: x = -10.5 or x = -10 1/2

Hope this helps!

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A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre
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Answer:

Hydrostatic Force = 35.28KN

Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

Formula for a thin horizontal slice of the triangle the force is;

δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

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One rectangle has a base of 12 inches and an altitude of 6inches, The other has a base of 10 inches and an altitude of 5 inches.
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Sides of first rectangle are 12 inches and 6 inches

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