The linear equation representing the above said pair of points is "y=12x+9"
Step-by-step explanation:
The given set of points are
x Y
1 21
2 33
3 45
4 57
For finding the linear equation for the given sets of value
We must know the generic form of a linear equation is y=m*x + c
m= slope of the line where y= Δy/Δx
Δy= change in y value
Δx= change in x value
Thus slope ”m” = 33-21/2-1 = 12
we put slope “m” in the equation which becomes y=12x+c
Now we put any of the set value in the equation
33= 12*2+c ∴ c=9
Hence required linear equation is y=12x+9

just to clarify the engineering notation, E6 is just 1 and 6 zeros, or a million, thus, 107,000,000 is just 107E6.
Answer:
a = $17.25
Step-by-step explanation:
let the money spend on the necklace be a
we have
15.75 +1.5*2 +a + 14 = 50
-> a = 50 -15.75 -3-14
-> a = $17.25
Answer:
The correct answer is 61.08 foot.
Step-by-step explanation:
Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.
Angle of elevation is 70°.
We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.
Let the height be x foot.
Thus sin 70° = 
⇒ x = sin 70° × 65
⇒ x = 61.08
Thus the height of the kite above Mr. Black head is 61.08 foot.
Answer:
60 times
Step-by-step explanation:
Since each roll has a 50% chance of rolling an even number
50% of 120 is 60