This point is located in the fourth quadrant. When rotated at 270 degrees, it'll end up in the third quadrant. The rules for this quadrant is that both the x and y value will be negative.

6 0

3 years ago

Read 2 more answers

Pete asks Buzz to make a triangular truss with sides that are 5 feet, 6 feet, and 9 feet. Is this enough information for Buzz to

Georgia [21]

Answer: Yes.

Step-by-step explanation:

One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.

Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.

8 0

3 years ago

Determine the maximum value of the objective function, P.

Ad libitum [116K]

Answer:

Maximum (250,125) Answer

Step-by-step explanation:

This is more of a graphing problem than it is anything else.

Begin by graphing all 4 given equations.

When you do that, mark the intersection points of at least 2 lines. In this case it is exactly 2 lines for each intersecting point.

6x + 4y <= 2000 and 2x + 4y <= 1000 intersect at (250,125)

x=>0 and y=>0 intersect at (0,0)

6x + 4y <=2000 and x => 0 intersect at 333.333

2x + 4y <=1000 and y>=0 intersect at 0,250.

Any other intersection points fall outside the range of the givens. The shaded part we are interested in is sort of a very dark green/blue. It is the interior of the quadrilateral determined by the 4 vertices that are marked.

Now all you have to do is determine the maximum point using P=15x + 12y

For 0,0 P = 15*0 + 12,0 = 0

For 0,250 P = 15*0 + 12*250 = 3000

For 333.3333,0 P = 15*333.3333 + 12*0 = 5000 rounded.

For 250,125 P = 15*250 + 12*125 = 5250 Which is the maximum

Answer (250,125) produces the maximum value Answer

5 0

3 years ago