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
I’m pretty sure it’s y=-4x-16
Because the standard slope equation is y=mx+b and in perpendicular lines the slope is opposite of the slope on a parallel line. 0.25 is equal to 1/4 and the opposite of 1/4 is 4/1 but you also make it negative so it’s -4. So we have y=-4x+b and you plug in the coordinates and solve [8=-4(-6)+b and -4*-6=24 so you rewrite it as 8=24+b and 8-24=-16 and -16=b] so you plug in b and the equation is y=-4x-16
Hope this helped
Answer:
252<em>π</em> or 791.7 mm³/h
Step-by-step explanation:
The volume of a cylinder is given by
We desire to find the volume rate, that is,
<em>dr/dt</em> is the rate of change of the radius which is 7 mm/h.
<em>dV/dr</em> is derived by differentiating the volume equation, yielding
At <em>r</em> = 12 mm and <em>h</em> = 1.5 mm,
Answer: it’s C
Because Kendall scored 3 times abdul
