Answer:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
Step-by-step explanation:
According to the statement, we have the following information about the lengths of the right triangle:
Hypotenuse
Long leg
Short leg
By the Pythagoric Theorem, we have the following expression:
(1)
As length is a positive variable by nature, then the only possible solution is . Lastly, the side lengths of the right triangle are:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
A table can be represented with a linear function equation as y = mx + b, where m is the slope and b is the y-intercept.
<h3>How to Represent a Table with Linear Function?</h3>Assuming we have a table of values as shown in the image attached below, to write an equation of linear function for the table, do the following:
Pick two pairs of values, say, (1, 5) and (2, 25) and find the slope (m):
Slope (m) = change in y / change in x = (25 - 5)/(2 - 1)
Slope (m) = 20
Find the y-intercept (b) by substituting (x, y) = (1, 5) and m = 20 into y = mx + b:
5 = 20(1) + b
5 = 20 + b
5 - 20 = b
-15 = b
b = -15
Write the equation of the linear function by substituting m = 20 and b = -15 into y = mx + b:
y = 20x - 15
Learn more about the linear function on:
#SPJ1
Answer:
6x = 16
Step-by-step explanation:
Given:
The equation can be rewritten as:
Multiply both sides by 2x.
Simplify the equation in simplest form.
Therefore, the answer to this question is 6x = 16.
Please let me know if you have any questions regarding my answer or explanation!