(6a+10)⋅(3a+55)=18a^2+330+30a+550
=18a^2+330a+30a+550=18a^2+360a+550
a=-5/3 or a=-55/3
hope it helps!
X:15 = 15:100
By solving x, we will get
x=225/100
x= 2.25
Answer:
(5sqrt(2), 45 deg)
(-5sqrt(2), 225 deg)
Step-by-step explanation:
(x,y)=(5,5)
So theta=arctan(5/5)=arctan(1)=45 degrees
Now r! r=sqrt(x^2+y^2)=sqrt(5^2+5^2)=sqrt(50)=sqrt(25)sqrt(2)=5sqrt(2)
So one polar point is (5sqrt(2) , 45 degrees)
Now if we do 180+45=225 degrees... this puts us in the 3rd quadrant... to get back to quadrant 1 we just take the opposite of our r
so another point is (-5sqrt(2) , 225 degrees)
I have a total of 11 pencils = total outcome
a- since we have 6 Red, P(Red)=6/11
b- P(Black) = 3/11
c- P(Green) = 1/11
For the dice:
Total outcome 6 so :
P(3) =1/6
P(1) =1/6
P(less than5) means P( of 1 OR 2 OR 3 Or 4)
Since we have "OR" it means we can add the P(probabilities)====>
P( of 1 OR 2 OR 3 Or 4)=1/6+1/6+1/6+1/6=
= 4/6 = 2/3