Answer:
Step-by-step explanation:
The roots are the values of x for which x² + 3x - 5 = 0.
Quadratic formula:
x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2
Answer:
- first shift: 13,750 bulbs
- second shift: 2500 bulbs
Step-by-step explanation:
The production ratio is ...
shift 1 : shift 2 = 5.5 : 1 = 11 : 2
so, the production on shift 1 as a ratio to the total is ...
shift 1 : total = 11 : (11+2) = 11 : 13
The first shift produced ...
(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift
and the second shift produced ...
(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift
_____
Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.
Answer:
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Step-by-step explanation:
Carlos graphed the set of points that are equidistant from both point A and point B.
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
For this case we must find a linear equation of the form:
Where,
m: slope of the line
b: cutting point with vertical axis.
For the slope we have the following equation:
Substituting values we have:
We observe that the slope of the line is not defined.
Therefore, the line is vertical.
Thus, the equation of the line is given by:
Answer:
The equation of the line is given by:
Step-by-step explanation:
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
