C.. y is less then or equal to -2x-2
1. 9 feet revelent to the surface
2. 19 points
Answer:
x = - 
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius of a unit circle is r = 1
substitute (x, - 
) into the equation and solve for x
x² + (- )² = 1²
x² + 
= 1 ( subtract from both sides )
x² = 1 - = 
( take square root of both sides )
x = ± 
= ±
since the point is in the 3rd quadrant then x < 0
x = -
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 5 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (1, 2) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = 3x - 1 ← equation of parallel line
Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
