(0, 2), (5,0) what is the slope?
2 answers:
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Answer:
i-2.4j
Step-by-step explanation:
Given that,
The surface of a mountain is modeled by the equation as follows :
A mountain climber is at the point (500, 300, 4390).
We need to find the direction in which he should move in order to ascend at the greatest rate.
To find direction, first finding the gradient of h as follows :
Now put x = 500 and y = 300
So,
The direction of the climber is i-2.4j
The equation are true for x = -2 and x = 2.
The given equations are given as:
We need to select two equations that are true for x = -2 and x = 2.
<h3>What are the solutions to an equation ?</h3>
The solutions of an equation are the values that satisfy the given equation or make the equation true when substituted for unknowns in the equations.
Example:
x - 2 = 2
Here the solution for x - 2 = 2 is 4 because x = 4 will make the equation true.
4 - 2 = 2
2 = 2
Let's find the solutions for each equation.
1.
= 4
x = = ± 2
x = = 2 and x = -2
2.
x =
x = =
x = ± 2
x = 2i and x = -2i where i =
3.
3 + 12 = 0
= -12 / 3 = -4
x =
x = ± 2
x = 2i and x = -2i
4.
4 = 16
= 16 / 4
= 4
x =
x = ±2
x = 2 and x = -2
5.
x - 2 = 0
x = 2.
Thus the equation have solutions x = -2 and x = 2.
Learn more about solutions of equations here:
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