the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer: 30.5 and 35.5

Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

x=y+5

x+y=66

Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

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line segment eg is partitioned by point f in the ratio 1:1. point e is at e (0, 4), and point f is at (1, 3). what are the coord

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The coordinates of G (x₂ , y₂) for line segment EG = (2,2).

As given:

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Coordinates of F (x ,y)=(1,3) and E (x₁ ,y₁)=(0,4)

Let coordinate of G (x₂ , y₂)

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(x ,y) ={ ( mx₂ +nx₁ )/ (m +n) , ( my₂ +n y₁ )/ (m +n)

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Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5

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Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

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