Part A
The given line passes through (-2,2) and it is parallel to the line

We need to determine the slope of this line by writing it in slope -intercept form.


The slope of this line is

The line parallel to this line also has slope

The equation is

We substitute (-2,2)


The required equation is

PART B
The given line is

The slope of this line is

The slope of the line perpendicular to it is

The equation of the line is

We substitute the point, (-2,2)



The equation of the perpendicular line is
The equation of the sphere centered at 0, and radius 4 is:

,
note that this equation describes exactly the points of the surface of the square. That is, this is an EMPTY sphere.
The solid sphere, that is the points on the surface and all points in the inside, are given by :

since we want the left part of the solid part, picture 2, we add the condition x<0,
thus "the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin" is given by the system of inequalities:

Answer: 10%
Step-by-step explanation:
given data:
no of cards left = 15.
no of diamonds left = 5.
probability of drawing a diamond = 5/15.
probability that the next two cards drawn to anika are diamonds without replacements.
= 5/15 * 4/14
= 2/21
= 0.0952 * 100
the probability that the two cards dealt to Anika would be diamond is 9.52% ~ 10%
Answer:
C. 6
Step-by-step explanation:
Answer:
C) 50
Step-by-step explanation:
This is because -10 x 5 = -50 and if you have 20 points to start with, you just do 20-(-30)=20 and two minuses make a plus so it is 20 + 30 which is 50.