The product of two consecutive even integers is 360. find the integers.
1 answer:
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Answer:
Step-by-step explanation:
<em><u>The complete question is</u></em>
A coordinate grid is placed over a College Station map. Tiger Stadium is located at (-3, 2) and Kyle Field is located at (4, 8). If a shuttle bus stop is at the midpoint between Tiger Field and Kyle Field, which is the closest to the distance in coordinate units from Tiger Field to the shuttle bus stop?
<u><em>Options</em></u>
4.61 units
6.52 units
9.22 units
21.25 units
step 1
Find the midpoint between Tiger Field and Kyle Field ( shuttle bus stop)
we know that
The formula to calculate the midpoint between two points is equal to
we have the points
(-3, 2) and (4, 8)
substitute in the formula
step 2
Find the distance from Tiger Field to the shuttle bus stop
we know that
the formula to calculate the distance between two points is equal to
we have the points
(-3,2) and (0.5,5)
substitute in the formula
The given pair of lines are not perpendicular.
<h3>What is a line?</h3>The line is a curve showing the shortest distance between 2 points.
5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5
The slope of equation 1 is and intercept c = 2 / 5
Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2
Slope of the equation 2 = -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2
Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
Thus, the given pair of lines are not perpendicular.
Learn more about lines here:
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