Answer:

Step-by-step explanation:
Given the logarithm function

For logarithmic equations,
is equivalent to
such that
and 
In current case:



Substituting the values of
and
into the equation 

5y + 7 = 52
5y = 52 - 7
5y = 45
y = 9

=

=
3(x+12) = 2 x 42
3x + 36 = 84
3x = 84 - 36
3x = 48
x = 16
Angle H = 180 - 52 - 36 = 92
Use the sine rule:-
x / sin 48 = 4590 / sin (180-48-55)
x / sin 48 = 4590 / sin 103
x = 4590 * sin 48 / sin 103 = 3500.8 yards to nearest tenth
3/8 because its out of 8 contestants n I don't think it includes the 140 audience,including the 30 students being a part if it
Answer:
<h2>(-2, -4)</h2>
Step-by-step explanation:
Put the coordinates of the points to the equation, and check it:
(-4, -1) → x= -4, y = -1
L = -5(-4) - 3(-1) =20 + 3 = 23
R = 22
L ≠ R
(-1, -4) → x= -1, y = -4
L = -5(-1) - 3(-4) = 5 + 12 = 17
R = 22
L ≠ R
(-2, -4) → x= -2, y = -4
L = -5(-2) - 3(-4) = 10 + 12 = 22
R = 22
L = R CORRECT :)
(-4, -2) → x = -4, y = -2
L = -5(-4) - 3(-2) = 20 + 6 = 26
R = 22
L ≠ R