Segment AB is on the line y − 4 = −5(x − 1), and segment CD is on the line y − 4 = one fifth(x − 5). Which statement proves the
2 answers:
Answer:
"They are perpendicular because they have slopes that are opposite reciprocals of −5 and one fifth."
Step-by-step explanation:
These lines are both in a form called point-slope form which is
where m is slope and
is a point on the line.
If we determine the slopes are opposite reciprocal, then we have determine the lines are perpendicular.
y − 4 = −5(x − 1), we see the m is -5.
The slope of this line is -5.
y − 4 = one fifth(x − 5), we see the m is (1/5).
The opposite reciprocal of -5 is 1/5 so theses lines are perpendicular.
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The distance from the center to where the foci are located exists 8 units.
<h3>How to determine the distance from the center?</h3>The formula associated with the focus of an ellipse exists given as;
c² = a² − b²
Where c exists the distance from the focus to the center.
a exists the distance from the center to a vertex,
the major axis exists 10 units.
b exists the distance from the center to a co-vertex, the minor axis exists 6 units
c² = a² − b²
c² = 10² - 6²
c² = 100 - 36
c² = 64
c = 8
Therefore, the distance from the center to where the foci are located exists 8 units.
To learn more about the Pythagorean theorem here:
#SPJ4
Answer:
$425
Step-by-step explanation:
Let x represent the number of bracelets made and let y represent the number of necklace made.
Since the craftsman has 1000 beads to work with, hence:
10x + 20y ≤ 1000 (1)
Also, the craftsman has 1600 minutes, hence:
10x + 40y ≤ 1600 (2)
From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).
Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:
Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425
