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guajiro [1.7K]
3 years ago
10

A store sells a package of comic books with a poster. A poster and three comic books cost $10.50. A poster and 12 comics cost $1

9.50. Write a linear function rule that models the cost Y of a package containing any number of X comics. Suppose another store sells a similar package, modeled by a linear function rule with initial value $8.75. Use y = mx + b
Mathematics
1 answer:
NikAS [45]3 years ago
4 0

answer:

there you goooo

Explanation

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Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

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m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
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Answer:
Slope of side LM =1
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Slope of side MN = -1 
3 0
3 years ago
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