Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is
.
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that
and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is:
,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75
Sam bought 3 pounds of apples at new price and it cost him 5.88
so we form an equation:
3 (x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 5.88 - 2.25
3x = 3.63
x = 3.63 / 3
x = 1.21
Therefore the original price per pound is 1.21 dollars
Answer:
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Step-by-step explanation:
$1800 is spent on a washing machine. This number never changes, so we just need to add that to our annual total
$89 is spent every year. This means that this number needs to be with our variable, x, as it is dependent on the number of years that occur. When we put these two things together, we get the following equation:
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Answer:
Angle ABD
Step-by-step explanation:
I think it is so because the angles are aligned already so you what has the same value.