Solve for d: by simplifying both sides of the equation, then isolating the variable.
C. d>0
Answer:
The distance between A(-8, 4) and B(4, -1) is 13 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula given by:
We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:
Evaluate:
So:
The distance between A(-8, 4) and B(4, -1) is 13 units.
The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4
Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
The required maximum value of the function C = x - 2y is 4.
Given that,
The function C = x - 2y is maximized at the vertex point of the feasible region at (8, 2). What is the maximum value is to be determined.
<h3>What is the equation?</h3>
The equation is the relationship between variables and represented as y =ax +m is an example of a polynomial equation.
Here,
Function C = x - 2y
At the vertex point of the feasible region at (8, 2)
C = 8 - 2 *2
C= 4
Thus, the required maximum value of the function C = x - 2y is 4.
Learn more about equation here:
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