Questions in mathematics

Questions in mathematics

[Done] Solve each equation by completing the square. If necessary, round to the nearest hundredth. 19. \( x^2 - 18x = 19 \) 20. \( 4a^2 + 8a - 20 = 0 \)

[Done] Solve for \( y \). \[ 6.3 = 0.9y \] \[ y = \]

[Done] A curve is traced by a point \( P(x, y) \) which moves such that its distance from the point \( A(1, -2) \) is twice its distance from the point \( B(4, -3) \). Determine the equation of the curve.

[Done] Multiply or divide, and then simplify the following expressions: 1. \(\frac{(x+1)^2}{x-5} \cdot \frac{x-3}{x+1}\) 2. \(\frac{3x+3}{2} \div \frac{4}{9x+9}\) 3. \(\frac{4a}{3a-3} \cdot \frac{3(a-1)}{16a}\) 4. \(\frac{x+2}{x-1} \div \frac{5x+10}{x-2}\)

[Done] Solve for "z." \[ 6 = \frac{z}{5.9} \]

[Done] What is 3.5 divided by 0.25?

[Done] A rectangle with an area of 24 square units has a length of [tex]x + 1[/tex] and a width of [tex]4x - 6[/tex]. Find the value of [tex]x[/tex].

[Done] What number is one-fourth of 360?

[Done] How do you factor \(x^2 + 3x\)?

[Done] How do I factor out a constant before factoring a quadratic? Factor completely: \(3w^2 - 3w - 90\)