Line L has equation 2x - 3y = 5. Line M passes through the point (3, -10) and is parallel to line L. Determine the equation for line M. A) 2x + 3y = -24 B) 2x - 3y = 36 C) 2x - 3y = -10 D) 3x + 2y = -24

Answers

Answer 1

Answer: they are parallel so they should have the same slope

Solve for Y
-3y = 5-2x

y= (5-2x)/-3

y= 2/3x - (5/3) = Line L

Line M use y-y1=m(x-x1)
y-(-10)=2/3(x-3)
y+10=2/3x-2
y=2/3x-12 = Line M
B is your answer

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Step-by-step explanation:

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When multiplying numbers with exponents, you only multiply the coefficients. The variable is then copied (this applies to numbers with similar variables), and the exponents are then added. This is shown below:

3x^2 * 2x^2 = 6x^4

The simplified form of the expression 3x² * 2x² is 6x⁴.

To simplify the expression 3x² * 2x², we need to multiply the coefficients and add the exponents of the variables.

Step 1: Multiply the coefficients (numbers in front of the variables):

3 * 2 = 6

Step 2: Add the exponents of the variables (x² * x² = x²⁺² = x⁴):

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Step 3: Put the results together:

6x⁴

Therefore, the simplified form of the expression 3x² * 2x² is 6x⁴.

In summary, when multiplying two terms with the same variable (x) raised to a power (exponent), we multiply their coefficients (3 and 2, which results in 6) and add their exponents (2 and 2, which results in 4). The final answer is 6x⁴, where 6 is the coefficient and x⁴ represents the variable raised to the power of 4. This calculation follows the rules of multiplying terms with variables and exponents.

To know more about simplified form:

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1. Divide. Assume the denominator does not equal zero.
(12x^2y-6xy+4x^2)/(2xy)

Answers

To divide a polynomial by a monomial, divide each term on the top by the denominator:(12x^2y/2xy) - (6xy/2xy) + (4x^2/2xy)Reduce each fraction separately:6x - 3 + 2x/y

What is the length of side s of the square shown below?