Blue book math problem, p. 535 #18

<p>Not already in the consolidated answers thread, so...</p>

<p>In the xy-coordinate plane, the distance between point B(10,18) and point A(x,3) is 17. What is one possible value of x?</p>

<p>The answer is 2 or 18. what's an easy way to solve...?</p>

<p>The distance formula is
d= ( ( delta x)^2 + (delta y)^2)^.5</p>

<p>substitute 17 for d</p>

<p>square both sides to get 289= delta x ^2 + delta y ^2</p>

<p>substitute 3-18 for delta y to get delta y = 15
289= delta x squared + 225
delta x squard=64
delta x = +-8</p>

<p>x-10=8 or x-10=-8</p>

<p>x=18,x=2</p>

<p>I could explin more if you dont get it</p>

<p>Thanks! :)</p>

<p>Care to explain?</p>

<p>could someone please explain how to get the answer for #16?</p>

<p>the question is if a +2b is equal to 125 percent of 4b what is the value of a/b?</p>

<p>^ a+2b=1.25(4b) —> a+2b= 5b —> a=3b —> a/b=3</p>

<p>Yo spiffy heres my way. You only need to know the pythagorean theorm instead of memorizing the distance formula. Before beginin draw the coordinate plane and plot (10,18). Remember that you can find the distance between two points just by using the pythagorean theorm.</p>

<pre><code> . (10,18)
/ |
/ |
/ |
._] (x,3)
</code></pre>

<p>You can now see how the hypotenouse is the distance between the two points and you can find it by knowing the lengths of the two legs. You know one of the legs because they give you two y coordinates. Therefore the length of one leg is 18-3 or 15. We also the distance or hypotenouse is 17. All you need to do is find the distance of the base. </p>

<p>17^2 = 15^2 + x^2</p>

<p>289 = 225 + x^2</p>

<p>64 = x^2</p>

<p>x = 8 or x = -8</p>

<p>Remember this is the length of the base. All you have to do now is the same thing as finding the length of the other base, subract 10-8 = 2. Thats one possible answer. But remember you can also have the point to the right of (10,18) so you have to add 10+8 which is 18. And there you go 2 and 18.</p>

<p>Although it may seem like a long process while explaining it to you. Its really simple once you understand it it’ll take less than 30 sec and you dont need any memorization like the distance formula.</p>

<p>could someone please explain questions:

  1. #8 on page 520
    2.#13 on page 521
    3.#17 on page 522
  2. #8 on page 532 </p>

<p>thank you!</p>

<p>P.535 is a page from section 6 of a practice test. Are there two diff blue books?</p>

<ol>
<li>“Discriminating” means differentiating, making a distinction, etc. The judges were able to note subtle differences so it makes perfect sense that they were “discriminating.”</li>
</ol>

<p>2.The question relies on the assumption that there is a correlation between yawning and sleepiness because an experiment where one’s sleepiness was measured by one’s yawning would be meaningless if yawning had no effect on sleepiness. </p>

<ol>
<li><p>The actors in the audience are indirectly persuaded to yawn because once a few people started yawning, the people next to them began yawning and so on. The act of yawning is suggesting for the people next to you to yawn as well, in an indirect way. The fact that there was a significant increase in the number of people yawning means that the “suggestion” has power.</p></li>
<li><p>Eliminate A and B because the first clause is referring to Jackson Pollock, who is therefore the subject of this sentence. Eliminate C because there is a missing verb, creating a run-on sentence. Eliminate E because a run on sentence is also created in the last clause. D is correct because the second clause begins with the proper subject “Jackson pollock” and includes the appropriate verb “was” which is in the correct past tense.</p></li>
</ol>

<p>i guess you are using the other blue book. my questions were all math problems. they are from the 2005 SAT OFFICIAL GUIDE COLLEGEBOARD. (8 practice tests)</p>