Answer:
x
2
+6xy+9y
2
+4x+12y−5=0
Step-by-step explanation:
x
2
+6xy+9y
2
+4x+12y−5=0
Comparing the equation with the general equation of second degree gives
a=1,b=9,h=3,g=2,f=6,c=−5
Angle between a pair of straight lines that is tanθ=
∣
∣
∣
∣
∣
∣
a+b
2
h
2
−ab
∣
∣
∣
∣
∣
∣
tanθ=
∣
∣
∣
∣
∣
1+9
2
9−1×9
∣
∣
∣
∣
∣
=
9
0
tanθ=0
⇒θ=tan
−
(0)=0
∘
Angle between the pair of straight lines is zero therefore the lines are parallel.
Hence proved
Well if she had 37 more pencils than pens and we know she had 56 pens we add 37 to 56 to find out how many pencils she had.
37+56=93. She had 93 pencils.
Then to find out how many pencils and pens she had we add the number of pencils and pens she had.
56+93=149. She had 149 pencils and pens.
Your answer is: n=-7/2 or n=3/4
It would take her about 2.5 hours
Answer:
3.33%
Step-by-step explanation:
Given that :
Final amount A= 320
Principal P = 300
Time (t) = 2 years
Yes, the information is enough to obtain the interest rate :
Using the relation :
A = P(1 + rt)
r = interest rate
320 = 300(1 + r*2)
320 = 300(1 + 2r)
320/300 = 1 + 2r
1.0666666 = 1 + 2r
1.0666666 - 1 = 2r
0.0666666 = 2r
r = 0.0666666 / 2
r = 0.0333333
(0.0333333) * 100% = 3.33%
