<span>So, L*W=A Because it is 4 cm longer, L=W+4 Because the area is 96, LW=96 Substitute to get W(W+4)=96 Multiply it out. W^2+4W-96=0 By solving the quadratic, W+12(W-8)=0 so either W+12 or W-8 is zero. The width must be positive, so the width is 8. Therefore the length is 12.
Hope this helps.</span>
8/15 = m/15
Cross multiply:
8 * 45 = 15 * M
Simplifying
8 * 45 = 15 * M
Multiply 8 * 45
360 = 15 * M
Solving
360 = 15M
Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
Equation of the line in slope intercept form is
y = 1/4 * x + 5. Slope is 1/4. Intercept is 5.
If x= 4, y = (1/4)*4 + 5 = 6.
The point (4,6) lies on the line.
Equation of the line in point slope form is
(y - y1)= m * (x - x1) where m is slope & (x1,y1) is point on the line.
Substituting slope m= 1/4 & point (4,6),
Equation of the line in point-slope form is:
(y - 6) = 1/4 * (x - 4).
Sanjay C.
