Show that if the first 10 positive integers 1,2,3,···,10 are placed around a circle, in any order, there exists three integers in consecutive locations around the circle that have a sum greater thanor equal to 17. Is your proof constructive or non-constructive ?

Determine whether the graphs of y=8x+5 and -y=8x-5 are parallel, perpendicular, coincident, or none of these. a. coincident b. parallel c. perpendicular d. none of these

Consider the integral: 4 0 16 − y2 − 16 − y2 4 1 x2 + y2 dz dx dy . (a) describe w. use the standard view of the x, y, and z axes. front half of a cone with a rounded top. full cone with a flat top. right half of a cone with a flat top. front half of a cone with a flat top. right half of a cone with a rounded top.

To prove that def ~ gfh by the sss similarity theorem using the information provided in the diagram, it would be enough additional information to know that