Determine the length of a ladder that Sir Gleefulheart needs to reach the top of the battlement (castle) to the nearest centimeter if the moat (water) surrounding the battlement is 6 meters wide. The top of the battlement is 8 meters above the moat. *

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3

3x + 4y = 5 x- 3y = -7 solve by substitution