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
For number 12 you need to make an expression using the information given. a) 25g + 18r + 15b could be the expression.
b) The variables would be 25g for the 25 gold seats, 18r for the 18 red seats and 15b for the 15 blue seats.
c) Plug in the number given according to the variables.
25(100) + 18(250) + 15(200)
2500 + 4500 + 3000
7000 + 3000
$10,000
The complete question is
find the slope of the tangent line and the equation of the tangent line at the given point, at the point (3,1).
Answer:
Tangent = 1/23 , equation of tangent = 23y - x = 20
Step-by-step explanation:
We are given the equation
upon differentiation the given function we get
d () /dt
=
upon substituting x=3 ,y=1 we will get
dy/dx = 1/23
now the equation of the tangent will be
y-1 = 1/23 (x-3)
23 (y-1) = x- 3
23y - 23 = x -3
23y - x = 20
Answer:
Maura runs faster
Step-by-step explanation:
Set them up as fractions:
miles / hours, then divide to
compare the results:
Maura: 5 / 1.25 = 4 MPH
Ava: 3 / .83 = 3.6 MPH
Answer: ^^ good luck
just follow what they say. graph (2,1). rise over run, so up 5 and to the right 3.