<p>1.In the xy coordinate system, a system has center C with coordinates (6,2.5). This scircle has exactly one point in common with the x-axis. If the point (3.5,t) is also a point on the circle, what is the value of t?</p>
<ol>
<li><p>If x^2=25, y^2=16, and z^2 =9. what i the greatest possible value of (x+y-z)^2</p></li>
<li><p>In the xy plane, line m is the reflection of line l across the x-axis. If the interesection of lines l and m is the point (r,s), which of the following must be true?
a. r=0
b.s=0
c.r=s
d.r=-s
e.rs=-1</p></li>
<li><p>if k^1/3 <em>k^1/3</em>k^1/3=1, which of the follinwg is equivalent to x^k?
a.1
b.k
c.k^3
d.x
e.x^3</p></li>
<li><p>At a spring fair, a clown distributed 215 baoolns to 150 children. each child recieved at least one baloon and no child recieved more than 2 balloons. how many of the children received exactly one baloon?</p></li>
</ol>
<ol>
<li><p>t=2.5. first, draw a rough sketch of the problem. from the figure, you can find the radius which is 2.5. then you will see that 6-2.5 is 3.5. from there you will find that the value of t is equal to the value of the y-coordinate of the centre. </p></li>
<li><p>Greatest possible value is 144. x= (+/-)5, y= (+/-)4, z= (+/-)3
(x+y-z)^2= (5+4-(-3))^2= 144</p></li>
</ol>
<ol>
<li><p>(b) s=0. since they are reflections on the x-axis, at the point where they will meet, it will be on the x-axis</p></li>
<li><p>(a) 1. k^1/3 <em>k^1/3</em>k^1/3=k^1=k=1. therefore, k=1. 1^x=1</p></li>
<li><p>85 children received 1 balloon. form 2 equation first:
x+2y= 215 and x+y=150<br>
(x= no. of children with 1 balloon; y=no. of children with 2 balloons)</p></li>
</ol>
<p>solve the equations to get the answer.</p>
<p>Nice job, except for number 4. It asks for x^k. x^1=x</p>
<p>1+ 4 are a still a little unclear for me</p>
<p>more:Point P is the center of one face of a cube and point Q is the center of the opposite face. If the length of the shortest possible path from P to Q along the outer surface of the cube is 2radical2 centimeters, what is the volume of the cube in cubic centimeters?</p>
<p>IN the figure above, N and P are the centers of the 2 circles, each of radius 4, and MNOP is a square. What is the total area of the shaded regions. Basically its 2 circles that are shaded with a square covering it from the middle. sorry this is from the 09 PSAT booklet.</p>
<p>k^1/3 <em>k^1/3</em>k^1/3=1, which of the follinwg is equivalent to x^k?</p>
<p>The rules of exponents say that when you multiply numbers (or variables in this case) with the same base (k) you add the exponents.</p>
<p>The equation becomes k ^ (3/3) = 1 which becomes k ^ 1 = 1</p>
<p>K must be 1 therefore, so x^k = x^1 which always will = x</p>
<p>gahhh!! wow i clearly can’t read. lol</p>