Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x =
≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ =
= 
Θ =
(
) ≈ 21.8°
Question 6
first multiply the numerator and
denominator by 9+(2)^1/2
Question 7
Answer:
w= -5
Step-by-step explanation:
- -2w - 4 + 4 = 6 + 4
- -2w = 10
Isolate "w":
We have that
[(4x+2)/(x+5)]-[(3x+1)/(x+5)]
<span>They have common denominators, so just add the numerators like normal fractions:</span>
=[(4x+2)-(3x+1)]/(x+5)
=[(4x+2-3x-1)]/(x+5)
=[(x+1)]/(x+5)
the answer is
(x+1)/(x+5)