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4 years ago

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Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation

?

1 answer:

shtirl [24]4 years ago

3 0

x2 - 12x = -6

Your next step would be to add 36 to both sides.

x2 - 12x + 36 = 30

In completing the square, we divide the term before x by 2, and then square it and add it to both sides.

12 / 2 = 6

6^2 = 36

That would be the next step.

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A freshly prepared sample of curium-243 undergoes 3312 disintegrations per second. after 6.00 yr, the activity of the sample dec

Lerok [7]

I took the liberty of finding for the complete question. And here I believe that the problem asks for the half life of Curium. Assuming that the radioactive decay of Curium is of 1st order, therefore the rate equation is in the form of:

A = Ao e^(-kt)

where,

A = amount after t years = 2755

Ao = initial amount = 3312

k = rate constant

t = number of years passed = 6

Therefore the rate constant is:

2755/3312 = e^(-6k)

-6k = ln (2755/3312)

k = 0.0307/yr

The half life, t’, can be calculated using the formula:

t’ = ln 2 / k

Substituting the value of k:

t’ = ln 2 / 0.0307

t’ = 22.586 years

or

t’ = 22.6 years

4 0

4 years ago

A team has P points.

Llana [10]

Sub in the values and solve for W
50=3W+14
50-14=3W
36=3W
12=W
The team won 12 games.
12+14=26 (games drawn and won)
35-26=9
Therefore they lost 9 games

3 0

4 years ago

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2×x×x×3×y×y×y<br><br>simplify this expression

storchak [24]

Answer:

6x^2 y^3 is the answer

Step-by-step explanation:

Multiply everything given

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3 years ago

Solve the following equation for g: 2(g-h)=b+4

Vesnalui [34]

<span><span>b=2g-2h-4
this is correct</span></span>

3 0

3 years ago

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A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return

ryzh [129]

The speed from home base to airport was:
$v=255miles/1.7h\ /:1.7\\v=150mph$
The speed from airport to home base was:
$v=255miles/1.5h\ /:1.5\\v=170mph$
Average speed of plane was:
$\frac{170mph+150mph}{2}=160mph$
Average speed of wind was:
$x\ -\ wind\ speed\ (mph)\\150+x=170-x\ /+x\\150+2x=170\ /-150\\2x=20\ /:2\\x=10$
Answer: Average speed of plane was 160mph and average speed of wind was 10mph.

I hope I helped :D

6 0

4 years ago

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