Answers:
The coordinates of X are (-24,0)
The scale factor is 8/3.
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To find the scale factor, you divide the y coordinates of the points Y and V
-8/(-3) = 8/3
Notice how multiplying the y coordinate of point V gets us to the y coordinate of point Y
-3*(8/3) = -24/3 = -8
Do the same for the x coordinate of point U
-9*(8/3) = -72/3 = -24
which is the x coordinate of point X
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
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The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
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<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
Where is the rest of the question
|3.5| = 3.5
Any negative or positive number will always have an absolute value that is positive.
For example, | -3.5| = 3.5
3.5 can also be expressed a fraction.
3.5 * 2/2 = 7/2
