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3 years ago

What is 6 more than 5 times the measure number of mn , what is m np

Mathematics

1 answer:

katrin2010 [14]3 years ago

8 0

Answer:

6 more than 5 times the measure of mn is (5mn + 6)

Step-by-step explanation:

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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

A farmer owns 1,000 acres. The farmer buys farms of 120 acres, 160 acres, and 700 acres and sells one farm of 190 acres. How man

vredina [299]

Answer : The area of land a farmer own now is, 1790 acres

Step-by-step explanation :

Area of land a farmer owns = 1000 acres

Total area of land farmer buy = 120 acres + 160 acres + 700 acres

Total area of land farmer buy = 980 acres

Area of land a farmer sells = 190 acres

Thus, the remaining area of land a farmer has = Total area of land farmer buy - Area of land a farmer sells

The remaining area of land a farmer has = 980 acres - 190 acres

The remaining area of land a farmer has = 790 acres

Now we have to determine the area of land a farmer own now.

Area of land a farmer own now = 1000 acres + 790 acres

Area of land a farmer own now = 1790 acres

Therefore, the area of land a farmer own now is, 1790 acres

3 0

3 years ago

Read 2 more answers

56,00 rounded to 1,000

Dmitry [639]

56,000??
If you mean 56,000 then the nearest thousand is 56,000

6 0

3 years ago

9. The formula V = wh is the volume formula for a rectangular prism. Find the length

Lelu [443]

Answer c 10cm
good luck

4 0

3 years ago

Triangle C F E is shown. Angle C F E is a right angle. An altitude is drawn from point F to point D on side C E, forming a right

beks73 [17]

Answer:hard to do without a pic

is there a pic of the triangle

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers