Answer:
Step-by-step explanation:
hello :
Part A : x+6y =6 means : 6y = - x+6
so : y = (-1/6)x+1 an equation for the line (D)
y = (1/3)x -2 is the line (D')
PartB : solution of the system : y = (-1/6)x+1 ....(1) color red
y = (1/3)x -2 ....(2) color bleu
is the intersection point : (6 ; 0)
PartC : Algebraically by (1) and (2) : (-1/6)x+1 = (1/3)x -2
(-1/6)x - (1/3)x = -2-1
(-x-2x)/6= -3
-3x = -18
so : x = 6 put this value in (1) or (2) : y = (-1/6)(6)+1 =0 the solution is : (6 ;0)
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
12 bouquets.
12 is the only number that is divisible by 24, 60, and 84. So that is your only option.<span />
The range of the averages in a class with a maximum point of 100 point and a minimum point of 20 point is 80 points
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Range is the difference between the maximum value and minimum value of a data set. Hence:
Range = Maximum - Minimum
Let us assume that the maximum point is 100 point and the minimum point is 20 point, hence:
Range = 100 - 20 = 80 points
The range of the averages in a class with a maximum point of 100 point and a minimum point of 20 point is 80 points
Find out more on equation at: brainly.com/question/2972832
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