Sunday

March 29, 2015

March 29, 2015

Posted by **justme** on Saturday, October 15, 2011 at 7:41pm.

with equation y = a(x �� 2)(x �� 6) intersects the sides of the square OPQR at

points K, L, M, and N. Determine all the values of a for which the area of the

trapezoid KLMN is 36.

- math -
**Reiny**, Saturday, October 15, 2011 at 9:48pmI made a sketch and found the following coordinates

K(0,12a) , L(2,0) , M(6,0) and N(8,12a

so the area of the trapezoid

= (KN + LM)(OK)/2 = 36

(8 + 4)(12a)/2 = 36

144a = 72

a = 72/144 = 1/2

**Answer this Question**

**Related Questions**

math - pls. help.. The functions f and g satisfy f(x) + g(x) = 3x + 5 f(x) &#...

Calc 2 - Use Taylor’s Estimate to bound the error of the n-th order Maclaurin ...

calculus - Let h(x) = ( x2 + 2 if x > 2 ��mx if x 2 (a) Find ...

calculus - Let f (x) = x3 ��3x2 +5x+2. Find the open intervals on ...

circles - OPQR is a rhombus , three of whose vertices lie on a circle with ...

cal - A ball is thrown directly upward from ground level with an initial ...

math - The earth has a radius of 6,380 km. The formula for the volume of a ...

physics - The electron in the Figure is travelling with a speed of 3 106 m/s...

Math - Help, I am stuck: Find (A �� B) �� C, given A...

physics - the region 0 < r < r1 is a charged insulating sphere with ...