Answer:
Step-by-step explanation:
Good evening ,
P(A|B) = P(A∩B)/P(B)
P(B|A) = P(A∩B)/P(A)
:)
To get the volume of a rectangular prism, you multiply the base times the height by the width, so to get the width you would divide 11,232 by 13 which is 864, then you divide that by 36 to get 24, so the width would be 24.
Answer:
y= 11/2 x+1/2
Step-by-step explanation:
Slope Intercept form: y = mx + b where m = slope of the line, b = y intercept and (x,y) are coordinate points on the line.
To put this in slope-intercept form, you need to solve the equation for y
-11x + 2y = 1
<u>+11x +11x</u> add 11x to both sides of the equation
<u>+2y</u> = <u>1 + 11x</u>
2 2 Divide both sides by 2 (so y is by itself)
y = 11/2x + 1/2
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which
and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is

- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622
Answer:
Je pense que je ne sais pas vraiment