4. In rectangle ABCD the diagonals AC and BD intersect at E. Given that BD = 24, %3D AE = 4x-8, and BC = x-4. Set up an %3D 1 equation that could be uscd to solve for x. A B D C

Q: If DF = 2v + 8 and DH = 9v - 20, find DF in parallelogram EFGH. %3D %3D

A: Recall: Properties of parallelogram The diagonals of a parallelogram bisect each other. Given,…

Q: Find x and y. BE = 6y - AE= 3x - 2, and AC= 8x - 22, DE = 4y - 4, %3D %3D %3D 20. B C A

A:

Q: 18) Solve the quadratic equation: 2x² + x - 15 = 0 for x. a. 2.5 & 3 b. 0 c. -2.5 & 3 d. 2.5 & -3 e.…

A: given   2x2+x-15=0           2x2+6x-5x-15=0

Q: —бх° + 14х10 dx = +C. %3D x-2

A:

Q: 17. Solve the equation using the Quadratic Formula: x2 - 7x = 30 %3D 18. Solve the equation using…

A:

Q: Solve the following equation by completing the square: O -2t 6 O 2t 6 O 128

A: Given, x2 +4x = 6  We have to solve the above equation by completing the square method.

Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: find the value of x

A: DE bisects BC BC = 5x – 3 CE = 2x + 25   From above given facts, it is seen that point E is on BC.…

Q: 4. Consider the Cubic Equation: x³ +3x² = 8x +30 a. Reduce the cubic equation through a change of…

A: The given cubic equation x3+3x2=8x+30 can be rearranged to the standard form as: x3+3x2-8x-30=0 A…

Q: Solve for b. 5b + 8 – 2b = 7b. %3D -

A: To solve b.  5b +8 - 2b = 7b All the variables i.e b are arrange in one side.

Q: Find the solution of the following difference equation: An+2 + An+1 - 6an = 0, ao = 1, a1 = 0. %3D…

A:

Q: 3x + 2y = 8 2r + 3y = -12 %3D

A:

Q: For u= (7. - 4) and v = (- 1, - 5). find the component form and the magnitude of u + v. u+v = OD…

A: u=7-4,   v=-1-5 . u+v=7-4+-1-5 u+v=7+-1-4+-5 u+v=6-9