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
Answer:
G = 9y²
Step-by-step explanation:
Given
18y³ ← factor out 2y
= 2y(9y²)
2 × 9 = 18 and y × y² = y³
Thus
G = 9y²
<u>Answer:</u>
cubic feet
<u>Step-by-step explanation:</u>
We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.
For that, we will divide total amount of water by per unit weight of water:
Cubic feet occupied by 180 lb of water = 
= 2.88 cubic feet or cubic feet
Shelters found for dogs = 12,308
Shelters found for cats = 7,953
Total number of shelters found
= Shelters found for dogs + Shelters found for cats
= 12,308 + 7,953
= 20,261 shelters
Therefore, the total number of shelter found for both dogs and cats last year is 20,261 shelters
