Answer:
The equation of the parabola is (x - 2)² = 16(y + 1) ⇒ D
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h, k)
∵ The vertex of the parabola is (2, -1)
→ By using the notes above
∴ h = 2
∴ k = -1
∵ Its focus is (2, 3)
→ By comparing it with the notes above
∴ h = 2
∴ k + p = 3
∵ k = -1
→ Substitute it in the equation above
∴ -1 + p = 3
→ Add 1 to both sides
∵ -1 + 1 + p = 3 + 1
∴ p = 4
→ Substitute the value of h, k, p in the form of the equation above
∵ (x - 2)² = 4(4)(y - -1)
→ Remember (-)(-) = (+)
∴ (x - 2)² = 16(y + 1)
∴ The equation of the parabola is (x - 2)² = 16(y + 1)
-5 + 19 = 14
-5 - 19 = -24
14,-24
Answer:
1.2 grams.
Step-by-step explanation:
We have been given that an oral concentrate of sertraline hydro-chloride (Zoloft) contains 20 mg/mL of the drug.
First of all, we will find number of mg in 60 mL container of the concentrate as:
We know 1 gram equals 1000 mg.
Therefore, 1.2 grams of sertraline hydrochloride are in each 60-mL container of the concentrate.
To get perimeter you add all the sides together. You have 2 sides of 10ft, one side of 8ft and then the half circle. To find the arc length of the half circle you would do 1/2(2πr) which would give you πr. R=4ft since the diameter is 8ft. So you would add 8,10,10 and 4pi. If it wants an exact answer it would be 28+4pi. If it wants an approximate answer it would be 40.6ft
Answer:
-525 feet
Step-by-step explanation:
If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.
to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)
so you can make out this equation: -800 + 275
this would equal: -525
