<p>In the coordinate plane, the points F 2,1, G 1,4,
and H 4,1 lie on a circle with center P. What are the
coordinates of point P ?
(A) 0, 0
(B) 1, 1
(C) 1, 2
(D) 1, 2
(E) 2.5, 2.5</p>
<p>Is the answer E?</p>
<p>no. 10 charrrrrrrr</p>
<p>what is the answer</p>
<p>Just by drawing the picture and looking at the answers, they all seem implausible except for E.</p>
<p>Choices C and D are the same. Did you happen to mistype either of them?</p>
<p>Center is (3,3)</p>
<p>(x-a)^2+(y-b)^2 = r^2</p>
<p>(4-a)^2+(1-b)^2 = (2-a)^2 + (1-b)^2</p>
<p>(4-a)^2=(2-a)^2</p>
<p>a=3, plug back in b=3 (3,3)</p>
<p>Yea I didn’t think any of the choices that the OP posted seemed possible.</p>
<p>answer is B… don’t ask me this is from the 07-08 practice test.</p>
<p>you typed in B wrong, its (-1,1)</p>
<p>O I see, you typed in the point F wrong, it should be (-2,1). Now it makes sense.</p>
<p>wow… didn’t realize the copy paste messed up the numbers… my b</p>
<p>and how did you get B?</p>
<p>and hre’s another question:</p>
<ol>
<li>A telephone company charges x cents for the first
minute of a call and charges for any additional time
at the rate of y cents per minute. If a certain call
costs $5.55 and lasts more than 1 minute, which of
the following expressions represents the length of
that call, in minutes?
(A) (555- x)/y
(B)(555+ x- y)/y
(C)(555- x+y)/y
(D)
(555- x- y)/y
(E) 555/(x+ y)</li>
</ol>
<p>Is the answer C?</p>
<p>Because it is like the answer A except it accounts for the first 1 minute for X.</p>
<p>It would be [(555-x)/y]+1, but the answer A does not account for that and is wrong.</p>
<p>However, C is (555-x+y)/y or [(555-x)/y] + (y/y) or [(555-x)/y]+1 (the right answer)</p>
<p>Therefore C is correct, the people who made the test just made it more complex than it had to lol. My explanation might be hard to understand, but try to look at it.</p>
<p>The answer is C… However, i don’t understand why 5.55 becomes 555 and it subtracts x and minuses y…</p>
<p>Someone please explain question 20 from before like i was a 2 year old.</p>
<p>and more food for thought:
16. In the figure above, AC = 6 and BC = 3. Point P
(not shown) lies on AB between A and B such that
CP <em>|</em> AB. Which of the following could be the length
of CP ?
(A) 2
(B) 4
(C) 5
(D) 7
(E) 8</p>
<p>for question 20,
it’s 555 because you are talking about cents and not dollars, like I have 20 cents rather than $0.20. X equals this many cents not $0.something.</p>
<p>for question 16, it says figure above??</p>
<p>OK, if you are going to use algebra…</p>
<p>Start with 555 cents. The first minute cost x cents so 555-x is the cost of the other minutes after the first. </p>
<p>At a cost of y cents per minute, (555-x)/y represents the additional minutes. But you can’t forget about the original minute (that you paid x cents for). So the total time is:</p>
<p>(555-x)/y +1 </p>
<p>But that is not one of the answers, because they put the whole thing over the common denominator, y:</p>
<p>(555-x+y)/y</p>
<p>BUT YOU CAN AVOID ALL OF THAT BY MAKING UP NUMBERS…</p>
<p>Like suppose the first minute cost x=55 cents. Now you still owe $5, so make y something easy like 25 cents per minute. That means you talked for another 20 minutes for a total of 21 minutes.</p>
<p>Now put x = 55 and y = 25 into each answer choice…</p>
<p>I though 16 was just a matter of common sense. If you draw CP you form two right triangles. So now think about pythagorean theorem. AC and BC are the hypotenuses of the two right triangles. Since they are the longest sides, the legs of the triangles cannot be larger then 3. Therefore, 2 is the correct answer.</p>