Hello!
Let's subtract the eight DVDs Joe received as gifts, because he didn't buy them on his own.
35 - 8 = 27
Now, divide the remaining CDs by the 3 years he collected his DVDs in.
27 ÷ 3 = 9
A N S W E R:
Joe bought 9 DVDs last year.
Good day!
Answer:
mx -y = 4m -7
Step-by-step explanation:
Standard form is ...
ax +by = c
where a, b, c are mutually prime integers and a > 0.
If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.
y -7 = mx -4m . . . . eliminate parentheses
-7 = mx -y -4m . . . . subtract y
4m -7 = mx -y . . . . . add 4m
mx -y = 4m -7 . . . . . . standard form
In both cases,
(as a consequence of the interesecting secant-tangent theorem)
So we have
10.
(omit the negative solution because that would make at least one of AB or AD have negative length)
11.
(again, omit the solutions that would give a negative length for either AB or AD)