Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)
1 answer:
9514 1404 393
Answer:
y = -3/8x -23/8
Step-by-step explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-1))/(3 -(-5)) = -3/8
Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For m = -3/8 and (h, k) = (-5, -1), the line is ...
y +1 = -3/8(x +5)
In slope-intercept form, this is ...
y = -3/8x -23/8
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Answer:
A = 77.74 ft
B = 70 ft
C = 104.62 ft
D = 42°
F = 42°
Step-by-step explanation:
Please find attached an image of the question the question
F = 42°
D = 42° (alternate angles are equal)
b = 70 feet
to determine the value of A which is the adjacent side and given the value of the opposite side, tan can be used
Tan 42 = opposite / adjacent
0.9004 = 70 / adjacent
adjacent = 70 / 0.9004
= 77.74 ft
to determine the value of C which is the hypotenuse and given the value of the opposite side, sin can be used
Sin 42 = opposite / hypotenuse
0.6991 = 70 / hypotenuse
hypotenuse = 70 / 0.6691
104.62 ft
