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1 year ago

Which expression shows the sum of the polynomials with like terms grouped together?

Mathematics

1 answer:

NikAS [45]1 year ago

3 0

The expression of the polynomials with like terms grouped together is (c) [-4x²] + 2xy² + [10x²y + (-4x²y)]

<h3>How to group the polynomial by like terms?</h3>

We have:

10x²y + 2xy² - 4x² - 4x²y

Collect the like terms

- 4x² + 2xy² + 10x²y - 4x²y

Put each group in bracket

- 4x² + 2xy² + [10x²y - 4x²y]

Express as positives

[-4x²] + 2xy² + [10x²y + (-4x²y)]

Hence, the expression of the polynomials with like terms grouped together is (c) [-4x²] + 2xy² + [10x²y + (-4x²y)]

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Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2

Sedaia [141]

Answer:

c, d and e

Step-by-step explanation:

A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.

Option a: $3x - 2$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option b: $-9y$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option c: $-7x^2 + 4x$

Here, the highest exponent of the variable is 2.

So, it is NOT a linear expression.

Option d: $-\frac{1}{2} x^2$

Here, the exponent of the variable is 2.

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Option e: $8xy$

Here, sum of exponents of variables is 2.

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Hence, c, d and e are NOT algebraic expressions.

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3 years ago

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Lina20 [59]

Answer:

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Step-by-step explanation:

A line has the angles of 180 degrees so if m<1 is 110 then m<2 must be 70degrees. Then m<4 is opposite side of m<1 so it has to be the same number of degrees and the same for m<3 is the opposite side of m<2.

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Step-by-step explanation:

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