Answer:
-1.15
Step-by-step explanation:
The tangent of the angle can be found as ...
tan(t) = (y-coordinate)/(x-coordinate) = -4/7
The secant of the angle is related by ...
sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49
Then the secant of this 2nd-quadrant angle is ...
sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15
Answer:
y =
x - 4
Step-by-step explanation:
Given
4x - 3y = 12 ( subtract 4x from both sides )
- 3y = - 4x + 12 ( divide terms by - 3 )
y =
- 4 ← in the form y = mx + b
The 2nd selection is correct.
_____
If your relation has some point (x1, y1), the inverse relation has the point (y1, x1). For example, one of the points of your relation is (-1, 0), so (0, -1) will be a point in the inverse relation.
A relation is a function if it does not contain two or more points with the same x-value.
(The relation shown in the graph is NOT a function, but its inverse relation IS a function.)
1 1/20 as a decimal would be 1.05<span />
Answer:
0.749
Step-by-step explanation:
We start by calculating the z-score
Mathematically:
z-score = (x-mean)/SD
z-score = (75-77)/3 = -2/3 = -0.67
The probability we want to calculate is;
P( X > -0.67)
we can use the standard normal distribution table for this
Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth