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kaffolter25
25.03.2020 •
Mathematics
Write the equation of the line in slope-intercept form given the slope and the y- intercept
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Ответ:
y=mx+b
Step-by-step explanation:
m=slope
b=Y-intercept
Ответ:
The coordinates are
A (-5, -8), B (1, -8), C (3, -5), D (1, 0), E (5, -3), and F (-3, -6).
Use the distance formula to calculate the lengths a,b,c,d,e,f,g,h, and k.
a = √[6²+0²] = 6, b = √[2²+3²] = 3.6056, c = √[2²+5²] = 5.3852
d = √[4²+3²] = 6.7082, e = √[8²+3²] = 3.6056, f = √[2²+2²] = 2.8284
g = √[4²+2²] = 4.4721, h = √[6²+1²] = 6.0828, k = √[4²+6²] = 7.2111
The area of a triangle with sides a,b,c is given by
A = √[s(s-a)(s-b)(s-c)]
where s = (1/2)*(a+b+c)
Use this formula to calculate the areas of the partitioned triangles.
Triangle a b c s A
ΔABF 6 4.4721 2.8284 6.6503 6
ΔBCF 3.6056 6.0828 4.4721 7.0797 8
ΔCDF 5.3852 7.2111 6.0828 9.3395 16
ΔDEF 6.7082 3.6056 7.2111 8.7625 12
Total area = 6 + 8 + 16 + 12 = 42
42 square units.