Which coordinate plane shows the graph 3x+y>9
1 answer:
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Answer:
steps below
Step-by-step explanation:
f(x) = -2/5 * (x+1)² + 7
Parent function: f(x) = x²
Transformation: Vertical shift up 7 units and horizontal shift left 1 unit
reflect about the x axis (+) : parabola faced downward
compression:(+) *2/5
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
Answer:
58.74 cubic meters
Step-by-step explanation:
The function is actually
Here x is the number of days and the corresponding value of "f(x)" would be the water REMAINING after x days.
Since, we want to figure out how much water (from 60 m^3) is remaining after 7 days, we simply have to plug in x = 7 into the function. Whatever number we get, is the AMOUNT OF WATER REMAINING AFTER 7 DAYS.
So,
Thus, the amount of water remaining in the pool after 7 days is 58.74 cubic meters