Answer:
y = -3/4x + 5/4
Step-by-step explanation:
Points: (7, -4) and ( -1, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2+4)/(-1-7)
m=6/(-8)
m= -3/4
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = -3/4(x - 7)
y + 4 = -3/4x + 21/4
y = -3/4x + 5/4
Answer: ![\frac{5}{6}x-10](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7Dx-10)
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Work Shown:
![\left(\frac{1}{3}x-8\right)+\left(\frac{1}{2}x-2\right)\\\\\frac{1}{3}x-8+\frac{1}{2}x-2\\\\\left(\frac{1}{3}x+\frac{1}{2}x\right)+(-8-2)\\\\\left(\frac{1}{3}+\frac{1}{2}\right)x-10\\\\\left(\frac{2}{6}+\frac{3}{6}\right)x-10\\\\\frac{2+3}{6}x-10\\\\\frac{5}{6}x-10\\\\](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B1%7D%7B3%7Dx-8%5Cright%29%2B%5Cleft%28%5Cfrac%7B1%7D%7B2%7Dx-2%5Cright%29%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Dx-8%2B%5Cfrac%7B1%7D%7B2%7Dx-2%5C%5C%5C%5C%5Cleft%28%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B1%7D%7B2%7Dx%5Cright%29%2B%28-8-2%29%5C%5C%5C%5C%5Cleft%28%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Cright%29x-10%5C%5C%5C%5C%5Cleft%28%5Cfrac%7B2%7D%7B6%7D%2B%5Cfrac%7B3%7D%7B6%7D%5Cright%29x-10%5C%5C%5C%5C%5Cfrac%7B2%2B3%7D%7B6%7Dx-10%5C%5C%5C%5C%5Cfrac%7B5%7D%7B6%7Dx-10%5C%5C%5C%5C)
Answer: a) 503.2m
b) 621.6m
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo.
A represents her starting point.
CD = x = how far east she is from her starting point
BC = y = how far south she is from her starting point
Angle BAC = 180 - 129 = 51°
Angle ACD = angle BAC = 51° because they are alternate angles
To determine x, we would apply the cosine trigonometric ratio
Cos 51 = x /800
x = 800Cos51 = 800 × 0.629 = 503.2m
To determine y, we would apply the sine trigonometric ratio
Sin 51 = y /800
y = 800Sin51 = 800 × 0.777 = 621.6m
1 and 5/6 should be right
1 hour and 50 minutes