Answer:

Step-by-step explanation:
In the given right triangle,
Measure of angle = x°
Opposite side of the angle = 12 units
Adjacent side of the angle = 6 units
By taking tangent ratio of the given angle,
tan(x°) = 
= 
= 2



Answer:
7y + 2x + 34 = 0
Step-by-step explanation:
The gradient for perpendicular, m = -2/7
The formular equation, y - y1 = m(x - x1)
The equation of line through (4, -6) is:
y - (-6) = -2/7(x - 4)
y + 6 = -2x/7 + 8/7
7y + 42 + 2x - 8 = 0
7y + 2x + 34 = 0
Negative exponents work like this:

So, in order to evaluate a negative exponent, you simply have to invert the base, and then raise to the positive equivalent of the exponent.
As an example, here are the first three exercises:



You can work out the rest applying this logic.
Answer:
the rate of change is -5.
Step-by-step explanation:
y = -5x - 3
-5 = rate of change
-3 = x intercept