Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
Answer:
b=-25
Step-by-step explanation:
10= -2/5b
10= -2/5b
------ -------
-2/5 -2/5b
b=-25
Check:
-2/5(-25)=10
10=10
Answer:
See below
Step-by-step explanation:
We want to prove that

Taking the RHS, note

Remember that

Therefore,

Once

Then,

Hence, it is proved
Answer:
Option C is correct.
Equation of a line
passing through (0,6) and (9,0).
Explanation:
Given the two points (0, 6) and (9 ,0).
To find the equation for the given two points
and
is,
; where m is the slope and is given by:

First find the slope m:

Substitute this value in equation of line:
or

⇒ 
Therefore, the equation for the given point is: 
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.