Answer:
length = 7
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Step-by-step explanation:
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7 (we won't use the other factor since it would give us a negative length
so length = 7
Answer: 45 miles
Step-by-step explanation:
Since Trevor rides 30 mph and does this for 1.5 hours, multiply 30 by 1.5
30 * 1.5 = 45
Answer:
Position of the submarine now relative to the water surface 
Step-by-step explanation:
It says that the position of a submarine relative to the water surface was -32 1/4 feet . A downward navigational maneuver increased it's depth by 15 1/2 feet.
Now we need to find about what is the position of the submarine now relative to the water surface.
Downward navigation means we 15 1/2 is negative
so we will just add both values to get the final answer:
Position of the submarine now relative to the water surface = 
Answer:
∠D B C = 41°
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given ∠ABC = 90°
In diagram ∠D B C + ∠A B D = 90°
6 x+5 + 8 x +1 = 90
14 x + 6 = 90
14 x = 90 -6
14 x = 84
<em> x = 6</em>
<u><em>Step(ii):-</em></u>
∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41
<em>∠D B C = 41°</em>
<em> ∠A B D = 8(6) +1 = 49°</em>
<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>
Answer:
y - 6 = -7(x + 8)
Step-by-step explanation:
Slope: m = (y2-y1)/(x2-x1) = (6 - -1)/(-8 - -7) = (6 + 1)/(-8 + 7) = 7/-1 = -7
Point-slope form: y - 6 = -7(x - -8)
=> y - 6 = -7(x + 8)
