Answer:
See below
Step-by-step explanation:
A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.
2/9 ÷ 4/1 (keep,change,flip) is 1/18.
Probability that a student will play both is 7/30
Step-by-step explanation:
Total students = 30
No. of students who play basketball = 18
Probability that a student will play basketball = 18/30
= 3/5
No. of students who play baseball = 9
Probability that a student will play baseball = 9/30
= 3/10
No. of students who play neither sport = 10
Probability that a student will play neither sport = 10/30
= 1/3
To find :
Probability that a student will play both = p(student will play both)
No.of students who play sport = 30 - 10
= 20
Out of 20 students 18 play basketball and 9 play baseball.
So, some students play both the sports.
No. of students who play both sports = 18 + 9 - 20
= 7
p(student will play both) = 7/30
Probability that a student will play both is 7/30
Answer:
a) The equation of the Parallel line to the given straight line is
6 x + y + 13 =0
b) Slope - intercept form
y = - 6 x - 13
c) The intercept - form

x - intercept = 
y - intercept = - 13
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given the equation of the straight line
y = -6x +1
6 x + y - 1 = 0
The equation of the Parallel line to the given straight line is
6x + y + k=0 and it passes through the point (-3, 5 )
⇒ 6 (-3 ) + 5 + k =0
⇒ - 18 + 5 + k=0
⇒ -13 + k = 0
⇒ k = 13
The equation of the Parallel line to the given straight line is
6 x + y + 13 =0
<u><em>Step(ii):-</em></u>
Slope - intercept form
y = m x + C
y = - 6 x - 13
<u><em>Step(iii)</em></u>:-
Intercept - form
6 x + y + 13 =0
6 x + y = - 13


The intercept - form

x - intercept = 
y - intercept = - 13