From 0,1,2,3,4 and 5, we choose two different number x and y . what is the largest possible value of \(2\left(x+y\right)^2+\left(x-y\right)^2\)
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1) ABC is a triangle where M is the midpoint of segment BC.
MD and ME are two bisectors of triangles AMB and AMC respectively.
If AM m; BC a . Then DE ???
2)dfrac{1}{left(x+29right)^2}+dfrac{1}{left(x+30right)^2}dfrac{5}{4}
What is the product of all real solutions to the equation above?
3) The sum of all possible natural numbers n such that
n^2+n+1589 is a perfect square is.....
4) Given that x is a positive integer such that x and x+99 are perfect squares
The sum of integer x is ....
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1) ABC is a triangle where M is the midpoint of segment BC.
MD and ME are two bisectors of triangles AMB and AMC respectively.
If AM= m; BC = a . Then DE = ???
2)\(\dfrac{1}{\left(x+29\right)^2}+\dfrac{1}{\left(x+30\right)^2}=\dfrac{5}{4}\)
What is the product of all real solutions to the equation above?
3) The sum of all possible natural numbers n such that
\(n^2+n+1589\) is a perfect square is.....
4) Given that x is a positive integer such that x and x+99 are perfect squares
The sum of integer x is ...
5)The operation @ on two numbers produces a number equal to their sum minus 2. The value of
(...((1@2)@3....@2017)
6) Given f(x)=\(\dfrac{x^2}{2x-2x^2-1}\)
=> \(f\left(\dfrac{1}{2016}\right)+f\left(\dfrac{2}{2016}\right)+f\left(\dfrac{3}{2016}\right)+...+f\left(\dfrac{2016}{2016}\right)\)
Các bn giúp mk vs >>> tks nha!!!
?????????????????????????????????????????????? Are you learning English or Math? I'm sure you are're mistake of English
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using each of a digit 3,4,5 and 6 exactly once to form two 2 digit numbers .what is the different between the largest possible product and the smallest possible product of two such number
Hai số lớn nhất là 65; 64
Hai số nhỏ nhất là 34 ; 35
Hiệu là : 65 x 64 - 35 x 34 = 2970
nếu đúng tk cho mk nha
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34; 35; 36; 43; 45; 46; 53; 54; 56; 63; 64; 65.
The largest number is 65.
The smallest number is 34.
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Cho \(A=\left(x-2y\right)^2+\left(x-3\right)^2+\left(y-1\right)^2+3\). The least possible value of A is...
Lời giải:
Ta có:
\(A=(x-2y)^2+(x-3)^2+(y-1)^2+3\)
\(=x^2+4y^2-4xy+x^2-6x+9+y^2-2y+1+3\)
\(=2x^2+5y^2-4xy-6x-2y+13\)
\(=2(x^2-2xy+y^2)-6x-2y+3y^2+13\)
\(=2(x-y)^2-2.3(x-y)-8y+3y^2+13\)
\(=2[(x-y)^2-3(x-y)+\frac{3^2}{2^2}]+3(y^2-\frac{8}{3}y+\frac{4^2}{3^2})+\frac{19}{6}\)
\(=2(x-y-\frac{3}{2})^2+3(y-\frac{4}{3})^2+\frac{19}{6}\)
\(\geq 0+0+\frac{19}{6}=\frac{19}{6}\)
Vậy GTNN của $A$ là \(\frac{19}{6}\)
Dấu "=" xảy ra khi \(\left\{\begin{matrix} x-y-\frac{3}{2}=0\\ y-\frac{4}{3}=0\end{matrix}\right.\Leftrightarrow x=\frac{17}{6}; y=\frac{4}{3}\)
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1.If 2x-y5 then the value of Mleft(x+2y-3right)^2-left(6x+2yright)left(x+2y-3right)+9x^2+6xy+y^22.The free coefficient in the following poly nomaial: left(2x-2right)left(x+1right)left(7-x^2right)is:3.The greatest integer number x such that frac{2x-1}{x-3}-1 0 is:4.How many of the integer n such that satisfy the inequality left(n-3right)^2-left(n-4right)left(n+4right) 43 are less than 3?5.The opposite fraction of frac{x-2}{7-x} is:
Đọc tiếp
1.If 2x-y=5 then the value of M=\(\left(x+2y-3\right)^2-\left(6x+2y\right)\left(x+2y-3\right)+9x^2+6xy\)
\(+y^2\)
2.The free coefficient in the following poly nomaial: \(\left(2x-2\right)\left(x+1\right)\left(7-x^2\right)is:\)
3.The greatest integer number x such that \(\frac{2x-1}{x-3}-1< 0\) is:
4.How many of the integer n such that satisfy the inequality \(\left(n-3\right)^2-\left(n-4\right)\left(n+4\right)< =43\) are less than 3?
5.The opposite fraction of \(\frac{x-2}{7-x}\) is:
A 6 digit number begins with the digit 8. The number is divisible by 9 and all digit of the number are different . What is the possible smallest value of this number ?MNPQ is the square that is made up of to identical rectangles and two square of area 9cm2 and 16cm2. The area of the square MNPQ is ?I have two digit in the decimal part.Iam greater than 75 but less than 80 . What least possible number am I ?
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Một số gồm 6 chữ số bắt đầu bằng chữ số 8. Số này chia hết cho 9 và tất cả các chữ số của số này đều khác nhau. Giá trị nhỏ nhất có thể có của số này là gì? MNPQ là hình vuông được tạo thành từ các hình chữ nhật giống hệt nhau và hai hình vuông có diện tích 9cm2 và 16cm2. Diện tích của hình vuông MNPQ là? Tôi có hai chữ số trong phần thập phân. Tôi lớn hơn 75 nhưng nhỏ hơn 80. Tôi ít nhất có thể là số nào?
\(x\) and \(y\) are positive number. Find the minimum value of \(A=\left(x+y\right)\left(\frac{1}{x}+\frac{1}{y}\right)\)
\(\left(x+y\right)\left(\frac{1}{x}+\frac{1}{y}\right)=1+\frac{y}{x}+\frac{x}{y}+1\)
\(=\frac{y^2+x^2}{xy}+2\)
mà \(=\frac{y^2+x^2}{xy}\ge0\)
=> giá trị nhỏ nhất của biểu thức là 2
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1. Find x, given that:
\(\left(x+\frac{1}{3}\right)+\left(x+\frac{3}{40}\right)+\left(x+\frac{3}{88}\right)=\frac{31}{22}\)
2. The arithmatic average of three numbers is equal to 13.5 . The average of the first number and second number is 13, and the average of the second number and third number is 13.85 . Find the three numbers.
3. Compare A and B, given that:
A = 2.015 x 201.7
B = 20.16 x 20.16
Using each of the digits 2, 3, 5 and 6 exactly once, form two 2 – digit numbers. What is the difference between the largest possible product and the smallest possible product of two such numbers ?
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Using each of the digits 2, 3, 5 and 6 exactly once, form two 2 – digit numbers. What is the difference between the largest possible product and the smallest possible product of two such numbers