Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
Answer:
The area of the cover for the hot tub must be:
Step-by-step explanation:
First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:
- <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)
Since the diameter is mentioned, it can be replaced in the formula:
- Area of a circle = 3.14 * (3.5 feet) ^ 2
- <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
Step-by-step explanation:
In triangles BAD and BCD ,
BD=BD (common)
angle BDA= angle BCD {90°each(given)}
AD=DC (given)
.•. traingle BAD is congruent to triangle BCD (SAS criterion)
Hence , angle A = angle C (CPCT)
Solve. -6 = 14 - z/3Subtract 14 from both sides
-20 = -z/3
Multiply -3 by both sides to get rid of the negative and 3 with the z.
z= 60
