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Yakvenalex [24]
3 years ago
10

(x+2)^2+(x-3)^2-2x^2)

Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Answer:

<u>13 - 2x </u>

Step-by-step explanation:

(x +2)² + (x - 3)² - 2x²

<em>Expand.</em>

(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²

x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²

<em>Bring all the like terms together then simply.</em>

x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9

2x² - 2x² + 4x - 6x + 13

= <u>13 - 2x</u> (or <u>-2x + 13</u> )

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How to calculate the distance for graphs?
ollegr [7]

Answer:

\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }

Step-by-step explanation:

This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

\sqrt{(1-2)^{2}+(1-2)^{2}}

We can simplify and come up with:

\sqrt{(-1)^{2}+(-1)^{2}}

=\sqrt{2}

We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive \sqrt{2}.

Hope this helped!

4 0
3 years ago
5(4x-1)-2x=31 what does x equal
ehidna [41]

20x - 5 - 2x = 31

18x = 36

x = 2

3 0
4 years ago
Read 2 more answers
mr franks economy car can travel 420 miles on a 12 gallon tank of gas. determine how many miles he can travel on 8 gallons
S_A_V [24]

Answer:

280 miles

Step-by-step explanation:

Divide 420 by 12 to find the unit rate of miles per gallon.

You get 35 miles per gallon

To find how many miles he can travel for 8 gallons, multiply 35 by 8.

You get 280 miles.

3 0
3 years ago
An osha inspection was conducted at Raul’s workplace. He is curious about the results and wonders what actions his employers mig
Ivan

Answer : YES!

Explanation : An OSHA inspection when was being conducted at Raul's workplace; He has full right to know about the results and can also ask/question his employer about the actions that they will be taking to fix if any issues are identified during the inspection.

As per the guidelines of OSHA which stands for The Occupational Safety and Health Act, employers are responsible for providing a safe and healthful workplace for their workers, also it gives full right to the employees to know what are the safety measures taken by their organization. OSHA is a federal law that was established in 1970 to ensure that America's workforce has a safe environment in which to work. The Occupational Safety and Health Administration (OSHA), the federal agency that enforces the OSH law was established by the law and was formed in 1971.

5 0
4 years ago
Your restaurant can seat 150 guests. If 6 tables of 6 are seated, what percent of the restaurant seating is still empty?
nikitadnepr [17]

Answer:

76%

Step-by-step explanation:

First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.

This means that 36 of the 150 seats are already taken.

But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.

The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%

5 0
2 years ago
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