It is known that the perimeter of a rectangle is 28cm, and the lengths of its two sides are x and Y respectively. If {the third power of X + X, y = the third power of XY + y}, the area of the rectangle is calculated

It is known that the perimeter of a rectangle is 28cm, and the lengths of its two sides are x and Y respectively. If {the third power of X + X, y = the third power of XY + y}, the area of the rectangle is calculated


From the meaning of the title, we get x + y = 14
X^3+X^2Y=XY^2+Y^3
X^2(X+Y)=Y^2(X+Y)
X^2=Y^2
Because x > 0, Y > 0
So x = y = 7
So area = xy = 49



The perimeter of a rectangle is 16 meters, and the meters of its length and width are two prime numbers. How many square meters is the area of the rectangle?


Because the circumference of the rectangle is 16 meters, that is (length + width) × 2 = 16, so length + width = 16 △ 2 = 8 (CM); because length and width are prime numbers, so 8 = 5 + 3, so the length should be 5 meters and the width is 3 meters; the area of the rectangle is 5 × 3 = 15 (square meters). Answer: the area product of the rectangle is 15 square meters



Use three same squares to make a rectangle. The circumference of the rectangle is 16cm, and the area of the rectangle is () square centimeter


There are eight sides and they are all equal, so the side length of a square equals 16 divided by 8 equals 2, so the area of a rectangle equals 2 times 2 times 3 equals 12



Find limit Lim X - > infinite 2x ^ 2-1 / x ^ 2 + 2x


lim(x->∝)(2x^2-1)/(x^2+2x)
=lim(x->∝)(2-1/x^2)/(1+2/x)
=2



Given that the odd function f (x) is a monotone decreasing function in [- 2,2], the inequality XF (2x-1) is solved


Odd function f (x)
∴ f(-x)=-f(x)
∴ f(0)=-f(0)
∴ f(0)=0
The inequality XF (2x-1) 0, then f (2x-1)



How to say "do experiment" in English? How to say "do experiment"


It depends on context
do an experiment
conduct an experiment
carry out an experiment
perform an experiment
For example, to do experiments, you can use:
do、to、make、conduct、carry out、perform…… Fine!



How many square decimeters is 25 square meters equal to


1 square meter = 1 meter * 1 meter, 1 meter = 10 decimeters. Then 1 square meter = 1 meter * 1 meter = 10 decimeters * 10 decimeters = 100 square decimeters. So 25 square meters = 2500 square decimeters. Do you understand



Given x ^ 3 + x ^ 2 + X + 1 = 0, find the value of x ^ 1999 + x ^ 1998 + x ^ 1997


Ha ha. 1F is so funny. OK. I don't mean to despise people
Decompose the conditional expression into a factor to get (x ^ 2 + 1) (x + 1) = 0 to get x = - 1
So the formula = - 1 + 1 + (- 1) = - 1



Ask an English word and explain an interesting story in English


Interesting stories



In the arithmetic sequence {an}, the sum of its first n terms is SN. If S12 = 21, then A2 + A5 + A8 + a11 equals ()
A. .5B. .6.C. 7.D. .10


In the arithmetic sequence {an}, the sum of its first n terms Sn = n (a1 + an) 2, so S12 = (a1 + A12) × 122 = 21, then a1 + A12 = 72, and a1 + A12 = A2 + a11 = A5 + A8, so A2 + A5 + A8 + a11 = 2 (a1 + A12) = 2 × 72 = 7