Q: The sum of two numbers is 10 their product is 20 the sum of reciprocals is what?

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If two numbers are reciprocals, then their product is 1. If the product of two numbers is 1, then they are 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

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 you multiply two reciprocals, their product must be 1.

I have a feeling that you wrote "opposite reciprocals"where you only needed to write "reciprocals".Their product is ' 1 '.

Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.

sannie

(50 + 15) = 65 (50 x 15) = 750 1/50 + 1/15 = 13/150

The Two numbers are reciprocals of each number

They're known as reciprocals.

1

The numbers are reciprocals of one another.

They're known as reciprocals.

They're known as reciprocals.

reciprocals, multiplicative inverses

Any two numbers whose product is '1' are each others' reciprocals.

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

The numbers are negative reciprocals of each other.

Reciprocals, or multiplicative inverses

2 and 0.5 They're known as reciprocals.

Two numbers have a product of 80 their sum is 24?

No, the Sum of two reciprocals isn't 1. However, the PRODUCT of two reciprocals is 1. For example, if you multiply 1/2 with 2/1, you'd multiply the two numeraters, which would be 1X2=2, and the two denominators, which is 2X1=2. this would cause the answer to be 2/2, or 1.

reciprocals or multiplicative inverses

If the product of two numbers is 4.2 and their sum is 4.4. then the numbers are 3 and 1.4.

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