The square of the binomial x-4 has the form x^2-ax+16. What is the value of a?
2 answers:
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Answer
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula
As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.
Point B is a solution to the system of inequalities
<h3>Further explanation </h3>Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates
General formula
or
y = mx + c
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant
The formula for a gradient (m) between 2 points
If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:
ax + by = c
It says inequality if there are symbol forms like <, >, ≤ or ≥
Whereas linear inequality can have forms:
ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c
In graphical form, line inequality can be
• dashed line because y does not include equals to
• a solid line because y includes equal to
For line inequality (positive coefficient y)
ax + by ≥ c then the solution is shaded upwards
ax + by ≤ c then the solution is shaded down
(Picture attached)
The line :
intersect x-axis at point : 5,0
Intersect y-axis at point : 0,10
And the solution is shaded upwards
intersect x-axis at point : 4,0
Intersect y-axis at point : 0,-2
And the solution is shaded upwards
And the point located in the shaded plane of the two inequality is point B and I
<h3>Learn more</h3>
Linear inequality represented by the graph
Keywords: linear inequality,graph
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