Check out the attached image below. I've marked two red points on the line such that the points have whole number coordinates. This way I could compute the slope of this line to be -2/5
We move down 2 units (rise of -2) as shown by the blue arrows. Afterward, we move 5 units to the right as shown by the green arrows (which is the run). This gets us from the left red point to the right red point.
rise = -2, run = 5
slope = rise/run = -2/5
the original line shown has a slope of -2/5
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Next we do two things to get the perpendicular slope.
Flip the fraction: -2/5 becomes -5/2
Flip the sign: -5/2 becomes +5/2 or simply 5/2
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Final Answer: 5/2
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
![\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards](https://tex.z-dn.net/?f=%5Cfrac%7B3500%5C%20yards%7D%7B2000%5C%20yards%7D%20%3D%20%5Cfrac%7B4200%5C%20yards%7D%7Bx%7D%5C%5C%20%20x%3D%20%5Cfrac%7B4200%5C%20yard%2A2000%5C%20yards%7D%7B3500%5C%20yards%7D%3D2400%5C%20yards)
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
10 = Scale factor
The 8 is being raised 10 to get your value on figure (B)
Hope this helps.
Have a great day!
It is 15.100 because you just see if the hundredths is larger then five then just move the tenth up one more
You would to 6 trillion trillion minus 73.5 billion trillion to get your answer.