Answer:
9 - 11i
Step-by-step explanation:
(3 - 9i) + (6 - 2i)
= (3 + 6) + (-9i - 2i)
= 9 - 11i
If he drives 45 miles each hour, then in 'h' hours, he will cover ' 45h ' miles.
Andy's Salary decreases by 40% in the week he was ill.
Step-by-step explanation:
Step 1;To find the percent by which Andy's salary decreases we must find the difference between the maximum salary and the obtained salary. The maximum salary is the amount of money he would have gotten if he went all days. The maximum salary is $200 a week. The salary that Andy got for working the previous week was $120.
Difference in salaries = Maximum salary -Obtained Salary = $200 - $120 = $80
Step 2; To find the percent decrease in salary in terms of maximum salary, we divide the difference in salaries by the maximum salary. We multiply this value by 100 to get it in terms of percentage.
Percent decrease in Andy's salary =Difference in salaries/Maximum salary*100
= $80/$200 * 100 = 0.40 * 100 = 40%
So Andy's salary decreases by 40% in the week he was ill.
Answer:
Answer:
Hyperbola
Step-by-step explanation:
A conic section is a figure formed by the intersection of a plane and a circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
When the cutting plane is perpendicular to the bases, then two cones connected by vertex will give a hyperbola
THus a hyperbola is formed when two cones are cut by a plane perpendicular to the bases of the cones.
Answer is hyperbola
The line joining the foci is called the principal axis and the points of intersection of the conic with the principal axis are called the vertices of the conic. The line segment joining the vertices of a conic is called transverse axis in the hyperbola
Draw a cartesian plane, create a graph with the equation x = y^2 - 2
then substitute numbers into the equation so that it is true, to find points on the graph, e.g. substitute y with 1, you get
x = 1^2 - 2
x = 1 - 2 = -1, so when y = 1, x = -1, this point is (-1, 1)
for the next substitute y with 2,
x = 2^2 - 2
x = 4 - 2 = 2, the point is (2, 2)
you might want to try negative values of y
y = -1, x = (-1)^2 - 2
x = -1 the point is (-1,-1)
then plot the points on the graph