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
First one is number 3
Second one is number 2
Answer:
15 feets
Step-by-step explanation:
The perimeter of a parallelogram is given as :
P = 2(l + w)
l and w are the bases :
Substituting the values into the equation :
P = 2(x + 75 + x + 45)
P = 2(2x + 120)
P = 300
Hence ;
300 = 4x + 240
300 - 240 = 4x
60 = 4x
Divide both sides by 4 to isolate x
60 /4 = 4x / 4
15 = x
x = 15 feets
