The equation that models the table is a) y = -4x + 1.
Answer:
Step-by-step explanation:
Each triangle is a right triangle, and all are congruent. So ...
90 -m∠CAB = (1/2)m∠CDA
90 -(4x +33) = (1/2)(12x +34)
57 -4x = 6x +17 . . . . . . . eliminate parentheses
40 = 10x . . . . . . . . . . . . .add 4x-17
4 = x
We also have ...
2m∠CAD = m∠BCD
2(3z +28) = 10z +28
6z +56 = 10z +28 . . . . . eliminate parentheses
28 = 4z . . . . . . . . . . . . . .subtract 6z+28
7 = z . . . . . . . . . . . . . . . . divide by 4
Since BC = CD ...
x = y = 4
The values of the three variables are ...
x = 4, y = 4, z = 7.
480 is the answer i hope it is correct
Use the Law of Sines and set up the equation sin A/side a = sin B/side b. So you have sin 38/41 = sin B/54. Cross-multiply to get 54 sin 38 = 41 sin B. Make sure your calculator is in degree mode and the left side comes out to be 33.246. Now divide both sides by 41 to get an equation of .8109=sin B. Use the inverse sin function on your calculator to get that sin^-1(.8109) = 54.18 degrees
<h3>
Answer: Horizontal asymptote at y = 2</h3>
As x approaches negative infinity, the e^x term slowly approaches 0
This means 2+e^x approaches 2+0 = 2
So that's why we have a horizontal asymptote at y = 2
The graph approaches the line y = 2 but doesn't touch or cross it. Think of it like an electric fence.
The graph is below.
