Answer:
2.9 in.
Step-by-step explanation:
Let x in be the width of the larger rectangle. If the length of the larger rectangle is 4 inches and the perimeter of the larger rectangle is 14 in, then
If two rectangles are similar, then their lengths and widths are proportional with the scale factor k. Thus, the length of the smaller rectangle is in and the width of the smaller rectangle is
in. If the perimeter of the smaller rectangle is 10 in, then
Answer:
Attached please find response.
Step-by-step explanation:
We wish to find the area between the curves 2x+y2=8 and y=x.
Substituting y for x in the equation 2x+y2=8 yields
2y+y2y2+2y−8(y+4)(y−2)=8=0=0
so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields
x=4−12y2
From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.
