so... if you notice, the vertex is at h,k and that'd be the origin, 0,0
so...since the directrix is "p" units from the vertex, so it'd be 2 units from 0,0
now, the parabola has an equation with a positive leading term's coefficient, namely the 1/8 is positive, thus, the parabola is opening upwards, and the directrix is "outside" the parabola, so is below the vertex
that puts the directrix 2 units below 0,0
y = -2
The circumference of the vase is 18.84 inches.
<u>Step-by-step explanation:</u>
The circumference of the cylinder is same as the circumference of its base.
Moreover, the base of the cylinder is actually a circle.
So we need to find the circumference of the circle to find the circumference of the cylinder.
From the given figure, we know that the diameter of the base d= 6 inches.
∴The formula for the circumference of the circle = 2πr or dπ.
⇒ circumference = 6×3.14.
= 18.84.
So the circumference of the circle is 18.84 inches.
∴The circumference of the cylindrical vase is also 18.84 inches.
2x + 5y = 10
Change to y = mx + b
subtract 2x from both sides
5y = -2x + 10
divide both sides by 5
y = -2/5x + 2
slope = -2/5
LETTER B
Answer:
5 left, (5,_) and 12 up. (5,12)
Step-by-step explanation:
its the first one 6k - 5
if u were to distribute u need to remember that 6 is negative so it changes -k to a positive 6k and then you would time 4 by -6 which would be -24 but u would just write it like 19 + 6k - 24. then u would add 19 to both sides by 19 which would be like adding 19 to -24 which would equal to -5 so it would equal to 6k - 5.
hope I explained the steps well enough for you.
