Answer:
the number that produces a rational number when added to 0.25 is 2/9
Answer:
12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94
Step-by-step explanation:
there is none
The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
Read more about linear equations at
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Isolate y
2x + y = 5
y = -2x + 5
The slope of the new line should be -2, since parallel lines have same slope.
Since y-int. is 4:
y = -2x + 4 is the new equation.
Answer:
Option (E)
Step-by-step explanation:
LMNO is a rectangle.
MO = 54
By the property of a rectangle,
1). Diagonals are equal in length.
2). Diagonals equally bisect each other.
Since, MO = LN
Therefore, LN = 54
Since, NP = 
NP = 
= 27
Option (E) will be the correct option.
