Answer:
d =
≈ 5.1 ( to 1 dec. place )
Step-by-step explanation:
to calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (
, 3) and (x₂, y₂ ) = (
, 8)
d =√ (
-
)² - (8 - 3)²
=
=
≈ 5.1
x and y varies directly and the equation will be: y=480.x
Step-by-step explanation:
We need to write the equation to represent the relationship between x and y
We can find if x and y varies directly or indirectly.
Checking if x and y varies directly
if x and y varies directly then y=kx or y/x = k then k is constant
if x=2 and y=960 then k is:
k=y/x= 960/2 = 480
if x=2 and y=960 then k is:
k=y/x = 1440/3=480
if x=2 and y=960 then k is:
k=y/x= 2880/6=480
if x=2 and y=960 then k is:
k=y/x=3840/8 = 480
Since y/x = 480 for every value of y and x in the table, so x and y varies directly and the equation will be:
y= kx
y=480.x
Keywords: Finding Relationship between x and y
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We convert 2.3181818 to fraction as follows:
Let x = 2.3181818 . . . . . (1)
as can be seen, the repeating digits are 18
Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)
Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)
Subtract equation (3) from equation (2) to get
990x = 2,295
Thus,