Answer:
infinite solutions
Step-by-step explanation:
y=5/2x+2
2y= 5x +4
Multiply the first equation by 2
y = 5/2 x +2
2y = 5/2 *2 x +2 *2
2y = 5x +4
Since this is identical to the second equation (they are the same), the system of equations has infinite solutions
Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
Answer:
= 160 units
Step-by-step explanation:
Relevant data provided as the situation is below:-
Total available time = 480
Cycle time = 3
According to the given situation, the computation of the daily production rate is shown below:-
Daily production rate is

= 
= 160 units
Therefore we have solve the daily production rate to reach the daily production rate.
(5+4+6-2)×2×2-1
(9-4)×2×2-1
5×2×2--1
10×2-1
20-1
19
Answer:
=
Step-by-step explanation:
v8 + 3 = 8 + v3
-3 -3
________________
v8 = 5 + v3
-v3 -v3
___________
v5 = 5