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How can you write the product of a number and a sum as the sum of two products?
x*(y+z) = x*y + x*z This is the distributive property of multiplication over addition.
The sum of two numbers is 10 and their product is 20 find the sum of the reciprocal of the number?
Suppose the numbers are x and y Then the sum of their reciprocals is 1/x + 1/y = y/xy + x/xy = (y+x)/xy = 10/20 = 1/2
Find the positive numbers x and y such that their sum is 35 and product x 2 y 5 is a maximum?
x = 10, y = 25
What shows the product of 6 and x decreased by the sum 6 and y?
6x - (6 + y)
What is sinx times siny?
The product of sin(x) and sin(y) can be expressed using the product-to-sum identities in trigonometry. Specifically, sin(x) * sin(y) = 0.5 * [cos(x - y) - cos(x + y)]. This formula allows you to convert the product of two sine functions into a sum of cosine functions, which can simplify calculations in various mathematical contexts.
The sum of x and y decreased by their product?
The sum of x and y decreased by their product is (x + y)- xy.
What is the product of 3 and x divided by the sum of x and y?
3x over x + y
Find the sum of the reciprocals of two real numbers given that these numbers have a sum of 150 and a product of 40?
1/x + 1/y = (y+x)/xy But y + x = sum = 150, and xy = product = 40 So sum of reciprocals = 150/40 = 3.75
If the sum of two numbers is 7 and there product is 25 what is the sum of there reciprocals?
Suppose the two numbers are x and y. Then, the sum of THEIR reciprocals is 1/x + 1/y = y/xy + x/xy = (y + x)/xy = 7/25
The sum of two number is 10 and their product is 30 the sum of their reciprocals is?
Suppose the numbers are x and y. The sum of their reciprocals = 1/x + 1/y = y/xy + x/xy = (y+x)/xy = (x+y)/xy = 10/30 = 1/3
How can you write the product of a number and a sum as the sum of two products?
x*(y+z) = x*y + x*z This is the distributive property of multiplication over addition.
The square of the sum of x and y?
The square of the sum of ( x ) and ( y ) is expressed mathematically as ( (x + y)^2 ). This can be expanded using the formula for the square of a binomial, resulting in ( x^2 + 2xy + y^2 ). Thus, the square of the sum of ( x ) and ( y ) captures both the individual squares of ( x ) and ( y ) as well as twice their product.
The sum of two numbers is 10 and their product is 20 find the sum of the reciprocal of the number?
Suppose the numbers are x and y Then the sum of their reciprocals is 1/x + 1/y = y/xy + x/xy = (y+x)/xy = 10/20 = 1/2
Find the positive numbers x and y such that their sum is 35 and product x 2 y 5 is a maximum?
x = 10, y = 25
Twice the sum of x and y and The sum of twice x and y?
Twice the sum of 'x' and 'y' . . . 2(x+y) The sum of twice 'x' and 'y' . . . (2x+y)
What shows the product of 6 and x decreased by the sum 6 and y?
6x - (6 + y)
What is sinx times siny?
The product of sin(x) and sin(y) can be expressed using the product-to-sum identities in trigonometry. Specifically, sin(x) * sin(y) = 0.5 * [cos(x - y) - cos(x + y)]. This formula allows you to convert the product of two sine functions into a sum of cosine functions, which can simplify calculations in various mathematical contexts.
