The linear equation that defines the line G can be written as:
y = -(1/3)*x + 5
<h3>How to get the equation of the line G?</h3>
A general linear equation written in the slope-intercept form is:
y = a*x + b
Where a and b are real numbers, a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we know that the line passes through (-3, 6) and (0, 5), then the slope is:
a = (5 - 6)/(0 - (-3)) = -1/3
The linear equation is something like:
y = (-1/3)*x + b
We know that it passes through (0, 5), then:
5 = (-1/3)*0 + b
5 = b
We conclude that the linear equation can be written as:
y = -(1/3)*x + 5
If you want to learn more about linear equations:
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6 times $0.97 plus $2.64 minus 20 equals $11.54 remaining on the gift card.
Answer:
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Answer:
68.04 cm^3
Step-by-step explanation:
The volume of the prism is given by
V = Bh
where B is the area of the base and h is the height
B - area of the triangle
B = 1/2 bh = 1/2 (5.4) (3.6) = 9.72
The volume is
V = 9.72*7
68.04 cm^3
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
