Solve for the variable c in this equation: a(c + b) = d options: a. c= d-ab/a b. c= d+ab/a c. c=ab-d/a d. c=d-ab/b

a(c+b)=d

First, let's apply the Distributive Property

ac + ab = d

Now, subtract both sides by ab

ac + ab - ab = d - ab

ac = d - ab

Divide both sides by a to isolate the c on the left side

ac/a = (d - ab)/a

c = (d - ab)/a

Due to poor math text formatting, it is hard to determine the answer, but I would assume it's A.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.