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3 years ago

Please help me before i fail!! Find the solution(s) of the following equation.

Mathematics

2 answers:

TEA [102]3 years ago

6 0

Answer: A or B but really A

Step-by-step explanation:

c² = 144/169

√c² = √144/169

c = 12/13

-12/13² = 144/169

Hope that helped! I recommend choosing A

miss Akunina [59]3 years ago

6 0

Answer: A and B.

Step-by-step explanation:

When you multiply 12 by 12, you get 144, and when you multiply 13 by 13, you get 169.

This works with negatives too because a negative times a negative is a positive.

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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>

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3 years ago

Add the two expressions. -y - 5 and 3y + 2

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A metronome uses an inverted pendulum rod to control tempo. A weight can be slid up the pendulum rod to decrease tempo, or down

Dominik [7]

Answer:

Part 1

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Square both sides

4π²f²= g/L

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Multiply both side by g

g/(4π²f²) = L

We usually write an equation with the subject (L) n the left

L = g/(4π²f²)

________________________

Part 2

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L = g/(4π²f²)

. .= 9.8 / (4π² x 1.6²)

. .= 0.097m (= 9.7cm)

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By the way, where it says

“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”

this should say

“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”

Step-by-step explanation:

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3 years ago

Enter the slope-intercept equation of the line that has slope 12 and yintercept (0, 3).

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Step-by-step explanation:

The slope-intercept equation is basically y=mx+b

m is the slope and b is the intercept.

Plug the numbers in for those 2 and there's your answer :)

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