Here we can change the variables to real numbers, just to make things easier for us. For the sake of calculation, let’s say that x=10, y=6, and z=1.
So, y years from now, Yann will be x years old. If we plug in our randomly chosen numbers, we get that Yann will be 10 years old 6 years from now. This means that today, he would be x-y years old, or 10-6, so 4 years old today.
Next we ask how old he was z years ago, or in this case, 1 year ago. We know that if you’re 4 years old now, you were 3 years old last year. In other words, you’re 4-1 years old, or x-y-z years old.
Your answer is x-y-z.
For multiple-choice questions, it is often faster to check the answers than to try to figure out what the answer should be.
Only selections (A) and (D) match the first entry in the table.
Of those, only selection (A) matches the second entry in the table.
The appropriate choice is ...
(A) y = x + 9
Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
+
equals
.
First, simplify
to
and also
to
. Your problem should look like:
+
.
Second, find the least common denominator of
and
to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like:
+
.
Fourth, simplify to get the denominators the same. Your problem should look like:
+
.
Fifth, join the denominators. Your problem should look like:
.
Sixth, simplify. Your problem should look like:
, which is the answer.
Answer:
270.00 divided by 32 = about $8.44
