Answer:
It's 144 units^2
Step-by-step explanation:
You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.
Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.
Answers are underlined with red colour.
7978 years
Step-by-step explanation:
A = A02^(-t/hl)
where hl = half-life.
Dividing both sides by A0 and taking the logarithm, we get
ln(A/A0) = -(t/hl)ln2
or solving for t,
t= -(hl)ln(A/A0)/ln2
note that A/A0 = 0.38
t = -(5715 yrs)[ln(0.38)/ln2]
= 7978 years
The saying "A picture is worth a thousand words" comes to mind here. You can list all of the possible points in a solution region, or you can list a few points to give the general pattern. Though this method requires a bit more work than simply graphing and showing the solution shaded region. A visual is often more efficient at conveying a message especially to those who aren't proficient with algebra. I'm sure there are other reasons why graphs are the better choice, but that's all I could think of really.
Okay. So, what we do first is do the distributive property by multiply each number in the parenthesis by 3. When we do that, we get (6x + 12), because 3 * 2x is 6x and 4 * 3 is 12. Now, the numbers written out in long form is 5 + 6x + 12 + 6. 6x is in simplified form, because there is nothing that we can combine it with, but we do need to combine the whole numbers. 5 + 12 is 17, and 17 + 6 is 23. The expression in simplified form is 6x + 23. The answer is B.
