To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
Red card because it is a fifty fifty chance for the colors but a 3 in 10 chance for a face card
Answer:
both equations reduce to y = -1/3x -2
Step-by-step explanation:
In each case, subtract the term not containing y and divide by the coefficient of y.
1. 6y = -2x -12 . . . . 12 was subtracted from both sides
y = -1/3x -2 . . . . . . the equation was divided by 6
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2. 3y = -x -6 . . . . . . x was subtracted from both sides
y = -1/3x -2 . . . . . the equation was divided by 3
-25 is an integer and a rational number.
<h3>What is number system?</h3>
- A system of writing numbers is known as a number system.
- It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
- It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Now,
- Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
- A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
- Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
- Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
- A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.
Hence, -25 is an integer and a rational number.
To learn more about number system, refer to the link: brainly.com/question/13162939
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