Arithmetic sequence of 9, 209 409, 609 and what id the difference?
1 answer:
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Answer:
a. x +2y -1 = 0
b. x -y = 3
Step-by-step explanation:
A line perpendicular to a given line will have a slope that is the opposite reciprocal of the slope of the given line. Using any equation of a line as a starting point, the equation of the perpendicular line can be written by interchanging the coefficients of x and y, and negating one of them.
The constant (c) in the equation will need to be chosen to make the line go through some particular point. This is generally accomplished by substituting the (x, y) values into the equation and choosing the constant to make it true.
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<h3>a.</h3>2x -y -1 = 0 . . . . . given line
x +2y -c = 0 . . . . . perpendicular line
x +2y -(2 +2(-1/2)) = 0 . . . . . . through the point (x, y) = (2, -1/2)
x +2y -1 = 0
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<h3>b.</h3>2x +2y = 5 . . . . . given line
x -y = c . . . . . . . . perpendicular line (common factor of 2 divided out)
x -y = 1 -(-2) . . . . . . . . through the point (x, y) = (1, -2)
x -y = 3
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<em>Additional comment</em>
The attachment shows the original lines as dashed, and the perpendicular lines as solid. The required points are also identified.
Answer:
Vince walked 36 km on the 1st day of the trip.
Step-by-step explanation:
- Vince went on a 3-day hike trip.
- It is stated that Vince walks 3/4 of the distance that he walks the day before.
- His total traveled distance = 83.25
- Let 'x' be the distance traveled on the first day.
As he walks 3/4 of the distance that he walks the day before.
- so the second-day traveling distance = 3/4x
- And the third-day traveling distance = 3/4 × 3/4x
= 9/16x
Given his total traveled distance = 83.25
Therefore, the equation becomes
Multiply both sides the 16 (L.C.M)
simplify
Divide both sides by 37
km
Therefore, Vince walked 36 km on the 1st day of the trip.