As determined by the graph, f(-9) = 9
The volume of a cube is the length of one side cubed, therefore the side length of the cube is the cubed root of the volume. Using a calculator to find the cubed root, you find that it is 0.4 meters, or answer C.
Therefore the solution is 0.4 meters; answer C.
We know that that the water level is 3 feet below your deck. (-3)
When the tide goes out, the water level lowers 1 foot. (-1)
A storm surge comes in, the water level rises 2 feet. (+2)
New water level: -3-1+2= -4+2= -2
The new water level is 2 feet below the dock.
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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
Slope of side KL = -1
Slope of side MN = -1
Answer:
1/50* 1/2 =0 .01
Step-by-step explanation:
First, the probability that the spinner lands on 20 is
1
/50
, as 20 is one of the 50 numbers on the wheel, and each number has an equal probability of being selected.
Second, the probability that the spinner lands on an odd number is
1/2
. This is because of the 50 numbers on the wheel, half are even and half are odd.
