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DaniilM [7]
3 years ago
11

Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer: k 2 + 3 g − 6

hope this helps

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What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?​
Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

 Given the equation:

\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}

- Using the Difference of squares formula (a^2-b^2=(a+b)(a-b)) we can simplify the denominator of the right side of the equation:

\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}

- Multiply both sides of the equation by (m+3)(3-m) and simplify:

\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}

- Multiply both sides by m-3:

(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)

- Apply Distributive property and simplify:

(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0

- Divide both sides of the equation by -6:

\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0

- Factor the equation and solve for "m":

(m-3)^2=0\\\\m=3

In order to verify it, you must substitute m=3 into the equation and solve it:

\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}

<em>NO SOLUTION</em>

7 0
3 years ago
Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
Elena L [17]

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

7 0
2 years ago
PLEASE HELP! I need someone to help me with my home work is anyone able to help?
Monica [59]

Answer:

Katie

Step-by-step explanation:

Use seconds as the standard unit to compare the speeds of the 4 runners

Tony is already in standard form and runs 12 ft/s

Katie:

450/30

15 ft/s

Frank:

1 mile = 5280 feet

5280/577

9.15 ft/s

Adam:

I minute = 60 seconds

880/60

14.67 ft/s

8 0
3 years ago
Is the answer A ?????<br><br> I don't know, plzzzz help me
-Dominant- [34]
I think very well that it is A or B. With my experience, but you might want to keep doing research.

8 0
3 years ago
Read 2 more answers
Do supplementary angles always form a straight line
nasty-shy [4]

Answer:

Yes

Step-by-step explanation:

Supplementary angles are a set of angles that always add up to 180 degrees.

8 0
3 years ago
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