Are these two lines parallel, perpendicular, the same line, or none of these?

\(−3x=3y+6\) \(4x+4y=2\) a) perpendicular b) the same line c) parallel d) none of these

Verify that the function satisfies the differential equation. (A differential equation in x and y is an equation that involves x, y, and derivatives of y.) Function \(y = 2 \sin x + 3\) Differential Equation \(y'' + y = 3\)

Calculate the product: \((x - 7)(x + 8)\)

For the equation,

a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable.

b. Keeping the restrictions in mind, solve the equation. \(\frac{4}{x + 5} + \frac{2}{x - 5} = \frac{32}{x^{2} - 25}\)

What is the slope of the line that passes through the pair of points (–5.5, 6.1), (–2.5, 3.1)? Group of answer choices a) –1 b) 1 c) -2 d) \(\frac{1}{2}\)

Find two different sets of parametric equations for the rectangular equation \(y = 4/(x − 1)\)