testing header
Math Goodies is a free math help portal for students, teachers, and parents.
Free Math
Newsletter
 
 
Interactive Math Goodies Software

Buy Math Goodies Software
testing left nav
Math Goodies on facebook

Math Goodies Blog
Math Forums @ Math Goodies
Math Forums @ Math Goodies
Home | Profile | Register | Active Topics | Members | Search | FAQ
 All Forums
 Homework Help Forums
 Standardized Test Preparation Help
 SAT Question #3

Note: You must be registered in order to post a reply.
To register, click here. Registration is FREE!

Screensize:
UserName:
Password:
Format Mode:
Format: BoldItalicizedUnderlineStrikethrough Align LeftCenteredAlign Right Horizontal Rule Insert HyperlinkInsert EmailInsert Image Insert CodeInsert QuoteInsert List Insert Special Characters Insert Smilie
   
Message:
* HTML is OFF
* Forum Code is ON

Math Symbols
Squared [squared] Cubed [cubed] Square Root [sqrt] Cube Root [cbrt] Pi [pi]
Alpha [alpha] Beta [beta] Gamma [gamma] Theta [theta] Angle [angle]
Degrees [degrees] Times [times] Divide [divide] Less Than or Equal To [less-than] Greater Than or Equal To [greater-than]
Plus Minus [plus-minus] Integral [integral] Sum [sum] Sub 1 [sub-1] Sub 2 [sub-2]
Element Of [element-of] Union [union] Intersect [intersect] Subset [subset] Empty Set [empty-set]

  Check here to subscribe to this topic.
 
   

T O P I C    R E V I E W
Haven Posted - 09/22/2008 : 13:35:48
I am having a problem figuring out a problem in the SAT Study Guide on page 599 problem number 18.

The problem states that ABCD is a rectangle and that Points 'A' and 'C' lie on the graph of y = px, where p is a constant.

In the problem which is drawn as a graph, point 'A' is located in the third quadrant at (-1/2, A); point 'B' is located in the second quadrant at (-1/2, B); point 'C' is located in the first quadrant at (1/2, C); and point 'D' is located in the fourth quadrant at (-1/2, d ).

The problem further states that if the area of ABCD is 4, what is the value of p?

I need to know how to find the value of 'p'.

I would also like to know what area of mathematics I should look at in order to better understand this type of problem?

any help would be greatly appreciated.
4   L A T E S T    R E P L I E S    (Newest First)
Haven Posted - 09/23/2008 : 13:30:17
Thank You Very Much Subhotosh Khan.
Subhotosh Khan Posted - 09/23/2008 : 07:18:12
Now about the problem.

Since it is a rectangle (and pair of vertices have same x-coordinate)

A = D

and

B = C......................................(1)

Then

AB = B - A and

AD = 1

Area = 4 = 1*(B - A) ........................(2)

using (1) in (2)

C - A = 4....................................(3)

A & C lie on y = px^3

so

A = -p/8......................................(4)

and

C = p/8.......................................(5)

Use (3), (4) & (5) to solve for 'p'.



Haven Posted - 09/22/2008 : 19:35:33
I stand corrected, the x coordinate in the "D" quadrant should be positive 1/2.

Thanks,

Haven Williams

Subhotosh Khan Posted - 09/22/2008 : 14:05:06
quote:
Originally posted by Haven

I am having a problem figuring out a problem in the SAT Study Guide on page 599 problem number 18.

The problem states that ABCD is a rectangle and that Points 'A' and 'C' lie on the graph of y = px, where p is a constant.

In the problem which is drawn as a graph, point 'A' is located in the third quadrant at (-1/2, A); point 'B' is located in the second quadrant at (-1/2, B); point 'C' is located in the first quadrant at (1/2, C); and

point 'D' is located in the fourth quadrant at (-1/2, d ). <<< How is this x co-ordinate negative - in fourth quadrant the x co-ordinates should be positive.

The problem further states that if the area of ABCD is 4, what is the value of p?

I need to know how to find the value of 'p'.

I would also like to know what area of mathematics I should look at in order to better understand this type of problem?

any help would be greatly appreciated.



Math Forums @ Math Goodies © 2000-2004 Snitz Communications Go To Top Of Page
This page was generated in 0.14 seconds. Snitz Forums 2000
testing footer
About Us | Contact Us | Advertise with Us | Facebook | Blog | Recommend This Page




Copyright © 1998-2015 Mrs. Glosser's Math Goodies. All Rights Reserved.

A Hotchalk/Glam Partner Site - Last Modified 20 Jan 2015