Answer:
144 in internal angle
Step-by-step explanation:
Answer:
f(x)=3-4 In (x-2)=graph 3
f(x)=3-In x=graph 1
f(x)=In (x+1)=graph 4
f(x)= 2In (x+3)= graph 2
Step-by-step explanation:
Use a graph tool to visualize the functions.Attached are the graphed functions respectively.
Answer:
11
Step-by-step explanation:
Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.
Using a point on the line, (4, 44),
Constant of proportionality, k =
.
Constant of proportionality of the graph is 11.
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
Answer:

Step-by-step explanation:
According to the trigonometric ratios the tangent of an angle is the ratio of perpendicular to base, i.e.

In the provided triangle the perpendicular is 8 and base is 15.
Compute value of tan <em>A</em> as follows:

Thus, the value of tan <em>A</em> is
.