5x - 8y + 104 = 0 is a linear equation passing through (-8 , 8) and parallel to the line whose equation is 5x - 8y - 7 = 0.
First, for two equations of line to be parallel with each other, their slope must be equal.
Transforming the given equation into slope-intercept form, y = mx + b:
5x - 8y - 7 = 0
8y = 5x - 7
y = 5/8 x - 7/8
m = 5/8
Hence, the slope of our equation should also be 5/8.
Using the again the slope intercept form, solve for b.
y = mx + b
where m = 5/8, x = -8 and y = 8
8 = 5/8 (-8) + b
8 = -5 + b
b = 13
With m= 5/8 and y-intercept, b = 13, the equation of our line is
y = mx + b
y = 5/8 x + 13
Multiplying both sides by 8,
8y = 5x + 104
5x - 8y + 104 = 0
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Answer:
HUH? WHAT?
Step-by-step explanation:
Well we can say 10.90/10 = the cost per pound to ship the item
we can infer this from the above text so
10.90/10 = 1.09.
So 1.09 * 37 = 40.33
$40.33
or 40 dollars and 33 cents to ship the second box with a weight of 37lb (pounds).
Answer:
m/6+ n/3 +1/2
Step-by-step explanation:
Answer:
24.72 m
11.53 m
Step-by-step explanation:
Horizontal distance AB can be obtained from △ABC
From trigonometry :
Sin18° = opposite / hypotenus
Sin18° = AB / 80
AB = 0.3090169 * 80
AB = 24.72 m
The height BT, of tower from △ABT
From trigonometry :
Tan25° = opposite / Adjacent
Tan25° = h / 24.72m
h = Tan25 * 24.72
h = 11.527
h = 11.53 m
Hence, height of tower BT = 11.53 m