What is rational number and arithmetic number

Mathematics

1 answer:

Oduvanchick [21]3 years ago

5 0

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Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

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Pilar says that two linear systems below have the same solution. (see picture) Is she correct? Explain.

wariber [46]

The first set:

3x + 2y = 2 ---1)
5x + 4y = 6 ---2)

From 1), multiply all by 2, 6x + 4y = 4 ---3)

3) - 2),

6x + 4y - (5x + 4y) = 6 - 4
6x + 4y - 5x - 4y = 2
x = 2

Sub in x = 2 into 1),

3(2) + 2y = 2
2y = -4
y = -2

(2 , -2)

The second set:

3x + 2y = 2 ---1)
11x + 8y = 10 ---2)

From 1), multiply all by 4, 12x + 8y = 8 ---3)

3) - 2),

12x + 8y - (11x + 8y) = 8 - 10
12x + 8y - 11x - 8y = -2
x = -2

From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.

Hope this helped! Ask me if there's any working from here that you don't understand! :)

5 0

3 years ago

Read 2 more answers

Can anyone help with problem 9.9 in the middle pls

ELEN [110]

Answer:

Angle 1: 53

Angle 2: 72

Angle 3: 55

Angle 4: 127

Angle 5: 53

Angle 6: 66