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Andru [333]
4 years ago
12

A line contains points (4,2) and (0,-1). Wha is the equation of the line

Mathematics
1 answer:
MAVERICK [17]4 years ago
3 0
The equation to find the slope is
m = \frac{y2 - y1}{x2 - x1}  \\ m =   \frac{ - 1 - 2}{0 - 4}  \\ m =  \frac{ - 3}{ - 4}  \: or \:  \frac{3}{4}
now you have to use the point-slope formula
y - y1 = m(x - x1) \\ y - ( - 1) =  \frac{3}{4} (x - 0) \\ y + 1 =  \frac{3}{4} x \\ y = \frac{3}{4} x - 1
the equation of the line is
y =  \frac{3}{4} x - 1

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From the information given you have:

1) Smaller diagonal of the kite: 16 inches


2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)


3) Calculation of the height of the smaller triangle, h1:


10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6


4) Calculation of the height of the larger triangle, h2


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