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almond37 [142]
3 years ago
8

What is the answer to -12 = 4(f - 6)

Mathematics
2 answers:
TiliK225 [7]3 years ago
8 0

Answer:

f= 3

Step-by-step explanation:

-12 = 4f-24

+24. +24

----------------

12 = 4f

/4. /4

-----------

f= 3

Nezavi [6.7K]3 years ago
5 0

Answer:

3

Step-by-step explanation:

-12 = 4(f - 6)

-12/4 = (4(f - 6))/4

-3 = f - 6

-3 + 6 = f - 6 + 6

3 = f

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Read 2 more answers
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

Slope of side LM: m LM = (yM-yL) / (xM-xL)
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
(m KL) (1) = -1
m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
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