D(n) = -5 (1/2)n-1 What is the 3rd term in the sequence?
2 answers:
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Answer:
A line passing through the points (-1,-4),(0,0) and (1,4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
Part 1) A line passing through the points (-4,0) and (0,-2)
This line not represent a direct variation, because the line not passes through the origin.
Part 2) A line passing through the points (-5,4) and (0,3)
This line not represent a direct variation, because the line not passes through the origin.
Part 3) A line passing through the points (-4,-6) and (0,3)
This line not represent a direct variation, because the line not passes through the origin.
Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)
The line passes through the origin
Find out the value of k
For the point (-1,-4)
substitute
For the point (1,4)
substitute
The linear equation is
This line represent a direct variation
The value of x (hypotenuse) using the Pythagorean Theorem is 5 units.
<h3>What is Pythagorean Theorem?</h3>- The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a² + b², are equal to the c² which is the hypotenuse.
So, the formula of the Pythagorean Theorem:
- c² = a² + b²
Where a (AC) = 4 and b (CB) = 3 as the given figure is symmetric and so line CB will be equal to 3.
Now,
- c² = a² + b²
- c² = 4² + 3²
- c² = 16 + 9
- c² = 25
- c = √25
- c = 5
Therefore, the value of x using the Pythagorean Theorem is 5 units.
Know more about Pythagorean Theorem here:
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