Answer:
y = 10.5x - 37
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Equality Properties
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, 47)
Point (2, -16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Simplify:

<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 21/2x + b
- Substitute: -16 = 21/2(2) + b
- Multiply: -16 = 21 + b
- Isolate <em>b</em>: -37 = b
- Rewrite: b = -37
<u>Step 4: Write linear equation</u>
<em>Combine all parts.</em>
y = 21/2x - 37
y = 10.5x - 37
And we have our final answer!
Answer:
Length of the tunnel is 51.7 meters
Step-by-step explanation:
We are given that,
The surveyor is located 54 meters from one entrance at an angle of 56°.
The surveyor is located 31 meters from one entrance at an angle of 13°.
Let the length of the tunnel = x meters
So, using the law of cosines, we get,

i.e. 
i.e. 
i.e. 
i.e. x = 51.7 meters
Hence, the length of the tunnel is 51.7 meters
Your answer will be :
the square root of 14, the square root of 54/3, 6.8, the square root of 26/3.