Sienna is solving the quadratic equation by completing the square.

3x2 + 9x – 4 = 0

3x2 + 9x = 4

a(x2 + 3x) = 4

what is the value of a?

a: -4
b: -3
c: 3
d: 4

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

Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab

△def is similar to △stu. write a proportion that contains st and su.