Answer:
MN = 14 ft
Step-by-step explanation:
NP tangent => ∡PNM = 90°
Pythagoras
MN = √MP² - NP²
= √50² - 48²
= √(50 - 48)(50 + 48)
= √2×98
= √196
= √14²
= 14 ft
Answer:
3 - 2√5
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2
Step-by-step explanation:
These two expressions have different denominators, and thus use of the LCD is necessary. The LCD is 4.
Thus, we have:
6/4 - (4/4)√5, or
6 - 4√5
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4
This can be reduced to:
3 - 2√5
------------- (answer)
2
The general form of logarithmic function is

y = x
We can transform it to exponential function by following the general form of exponential function y =

we have:
b = 10 ⇒ if the base of logarithm is not given, its default value is 10
x = a
y = 784
our exponential form in this is
784 =
Answer:
(x – 3)^2+ (y – 2)^2 = r^2
Step-by-step explanation:
The co-ordinates of the center=(3,2)
The formula for the equation of a circle is (x – h)^2+ (y – k)^2 = r^2,
(h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
Therefore, (x – h)^2+ (y – k)^2 = r^2
=(x – 3)^2+ (y – 2)^2 = r^2
You can find r^2the equation.