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kap26 [50]
3 years ago
10

(x²-y²)³+(y²-z²)³+(z²-x²)³/(x-y)³+(y-z)³+(z-x)³ evaluate

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0
We use the fact that if x+y+z = 0, then x³+y³+ z³ = 3 x y z.<span>

(x</span>²-y²) + (y²-z²) + (z²-x²)  = 0<span>
also: (x-y) + (y-z)+ (z-x) = 0
we assume that:  x </span>≠y ≠ z.
<span>

hence,

(x²-y²)³ + (y²-z²)³ + (z²-x²)³  ÷  (x-y)³ + (y-z)³ + (z-x)³
=  3 (x</span>²-y²) (y²-z²) (z²-x²) ÷ [3 (x-y) (y-z) (z-x)]
<span>=  (x+y) (y+z) (z+x)
</span>
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Can someone help with this math question please
Alex73 [517]
Question 9

For this question, you work out the areas of the different shapes - the two triangles and the large rectangle.
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To get the area of the rectangle, you must use a ruler to measure out the:
 height of the shape and the base of the shape

(try to be as accurate as possible when measuring)

Then to get the area of the rectangle, multiply the Height by the Base. 
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For the triangles, you measure the out the base and the height .
Then you use the formula for the area of a triangle, which is:

Height x Base x \frac{1}{2}

So, you measure out the base and height of one triangle, then use the formula to work out the area,    then you do the same for the second triangle.
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Finally, you add up all of the areas:

Total area = area of rectangle + area of first triangle +area of second triangle

then you choose the option that is closest to your answer <span>(remember to be accurate with the ruler!)
</span>-------------------------------------------------------------------------------------------------------------

Question 10<span>

</span>Lets say we wanted to know how much 10 bottles of water cost

To do this, we would multiply the number of water bottles we want (which is 10)  by how much one water bottle costs.<span>

</span>Lets say one water bottle costs £1.  
We would multiply the £2   by 10 (which is the number of water bottles)

So 10 water bottles would cost :   £2 x 10 = <span>£20
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Now lets apply this knowledge to the question:

The <u>ANSWER </u>would be:
G) multiplying n by the cost of one bottle

To get the total total cost, we multiply the number of bottles we buy by the cost of one bottle
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Question 11

For this one, we are told that the company charges $40 for hooking a vehicle.
We are also told that they charge $1.70 for each mile  the vehicle is towed.

Therefore the <u>ANSWER </u>would be;

B) 
c = 40 + 1.70m

$1.70m   means   $1.70   times the number of miles, and we are told that they charge 1.70 for every mile.  



8 0
3 years ago
I need help!!!!!!!!!!
Andru [333]

Answer:

Yes

Step-by-step explanation:

The points will be on the same line if they have the same slope. Calculate the slope of each pair. If the slopes are the same, then they lie on the same line.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{1-4} = \frac{1}{-3} = -\frac{1}{3}

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{-2-4} = \frac{2}{-6} = -\frac{1}{3}

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-3}{-2-1} = \frac{1}{-3} = -\frac{1}{3}

The slope is the same.

4 0
3 years ago
If 10% of your paycheck was withheld for federal income taxes and another 6% for state income taxes, how much would your net (or
yan [13]

Your net income/take-home would be 84.6 percent of the gross amount.

<h3>What is net income?</h3>

Your net income is the amount of money left after payroll deductions in the form of taxes and other charges on the gross amount of your paycheck.

If we deduct federal and state taxes, 10 percent and 6 percent respectively, we would charge 10 percent and 6 percent of 100 and have 84.6 percent of your original(gross) income left.

Please read more about net income here:

brainly.com/question/22739980

5 0
2 years ago
How many modes, if any, does the group of data have?
Olin [163]

Answer:

5.338401847392900e1395%377846Q9

Step-by-step explanation:

4 0
3 years ago
What is the length of a side of the cube shown with given volume?
tekilochka [14]

。☆✼★ ━━━━━━━━━━━━━━━  ☾

Cube root the value:

Answer = 9 ft

If you work forward from this answer, you'll understand the process

volume = l x w x h

volume = 9 x 9 x 9

volume = 729

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

。☆✼★ ━━━━━━━━━━━━━━━━  ☾

7 0
3 years ago
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