Answer:
The value of slope m = -1
Step-by-step explanation:
x = -2 + 4t
and y = 1 + 4t
Solving the both equations
x +2 = 4t
=> t = (x+2)/4 eq(1)
y-1 = 4t
=> t = (y-1)/4 eq(2)
Putting eq(1) = eq(2) as left hand side of both equations are same
(x+2)/4 = (y-1)/4
Cross multiplying
4(x+2) = 4(y-1)
4x + 8 = 4y -4
4x +4y = -4 -8
4x + 4y = -12
4(x+y) = -12
x+y = -12/4
x+y = -3
y = -x -3
The slope intercept form of line is:
y = mx + b
where m is the slope. Comparing with y = -x-3
The value of slope m = -1
First find 10%
(1200 divided by 10)
10% = £120
Then add it onto the original amount
£1200 + £120 = £1320
Answer:
509.35 feet
Step-by-step explanation:
16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.
16°23' = 16 + (23/60) = 16.383°
Similarly:
49°29' = 49 + (29/60) = 49.483°
When the boat is first noticed:
tan(16.383°) = 200 / a
a = 200 / tan(16.383°)
a = 680.27
When the boat stops:
tan(49.483°) = 200 / b
b = 200 / tan(49.483°)
b = 170.92
So the difference is:
a − b = 680.27 − 170.92 = 509.35
The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.
