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Is a rhombus a square?
A rhombus by definition has four equal sides and the sum of its internal angles is 360o A square is a speicial case of the rhombus as it is further defined that its internal angles are all equal (to 90o) So, some rhombuses may be squares, and, all squares are rhombuses.
What is the least squares regression line?
Suppose you have two variables X and Y, and a set of paired values for them. You can draw a line in the xy-plane: say y = ax + b. For each point, the residual is defined as the observed value y minus the fitted value: that is, the vertical distance between the observed and expected values. The least squares regression line is the line which minimises the sum of the squares of all the residuals.
What is true of all parallelograms?
The definition of a parallelogram is that it's a quadrilateral in which both pairs of opposite sides are parallel. So, that part is true about all parallelograms. Apart from that, there are some other properties that can be deduced, such as: * Opposite sides are congruent * Opposite angles are congruent * The diagonals bisect one another * The sum of the squares of the sides equal the sum of the squares of the diagonals As well as some other properties.
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
What is the sum of all positive integers less than 100 that are squares of perfect squares?
The only squares of perfect squares in that range are 1, 16, and 81.
How do you find the sum of all perfect squares between 5 and 30?
Here is a procedure that would do the job nicely: -- Make a list of all the perfect squares between 5 and 30. (Hint: They are 9, 16, 25, 36, and 49.) -- Find the sum by writing the numbers in a column and adding up the column.
Can 8081 be the sum of two perfect squares?
8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400
What is the sum of all perfect squares from 50 to 2500?
Including 2500, it's 42,785.
Can 2819 be expressed by the sum of 2 perfect squares?
no
What are two perfect squares that have the sum of 100?
64 and 36.
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
What is the sum of the squares of all Odd numbers between 100 and 200?
1166650
How can you two perfect squares for a given integer?
The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.
What are the first 12 perfect squares?
1x1=12x2=43x3=94x4=165x5=256x6=367x7=498x8=649x9=8110x10=10011x11=12112x12=144So to sum it all up, the first 12 perfect squares are1,4,9,16,25,36,49,64,81,100,121,144.
Difference between the sum of the squares and the square of the sums of n numbers?
Difference between the sum of the squares and the square of the sums of n numbers?Read more:Difference_between_the_sum_of_the_squares_and_the_square_of_the_sums_of_n_numbers
What is the smallest prime number which is the sum of two distinct positive perfect squares?
5
