Anyone know this geometry question?
1 answer:
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Answer:
- x: (4, 0)
- y: (0, -2)
Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
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To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
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The x- and y-intercepts are (4, 0) and (0, -2), respectively.
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<em>Additional comment</em>
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
Answer:
The shortest distance is 2.2 miles
Step-by-step explanation:
we know that
The shortest distance you must travel to reach the river is the perpendicular distance to the river
step 1
Find the slope of the line perpendicular to the river
we have
The slope of the river is m=3
Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
therefore
The slope of the line perpendicular to the river is
step 2
Find the equation of the line into point slope form
we have
substitute
step 3
Find the intersection point of the river and the line perpendicular to the river
we have
------> equation A
-----> equation B
Solve the system by graphing
The intersection point is (-0.1,1,7)
see the attached figure
step 3
Find the distance between the points (2,1) and (-0,1,1.7)
the formula to calculate the distance between two points is equal to
substitute
