Answer:
y = - x +
Step-by-step explanation:
The angle between the tangent and the radius at point P is 90°
Calculate the slope of the radius m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, 15)
m = =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - , thus
y = - x + b ← is the partial equation
To find b substitute (8, 15) into the partial equation
15 = - + b ⇒ b = 15 + =
y = - x + ← equation of tangent
Answer:
1/10 or 10%
Step-by-step explanation:
1/4 x 2/5 = 1/10 (10%)
The formula for the radius of a sphere is:
r(s) = sqrt[s/(4pi)]
This is based on the formula that s = 4pi*r^2
As can be seen, as the surface area increases, s/4pi increases, and sqrt(s/4pi) will also increase, meaning that the radius will increase. This continues until the balloon reaches the maximum s = 1500 cm^2.
The correct answer is the first choice:
<span>As the surface area of the balloon increases, the radius of the balloon increases until the maximum surface area is reached.</span>
Answer:
10.15
Step-by-step explanation: