True or false a corollary is a statement that can be easily proved using a theorem
1 answer:
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Answer: The shortest is 22.4 feet
Step-by-step explanation: For the gecko to walk the shortest distance, it has to go straight from where it is to the celling, diagonally from the celling to the wall where the fly is and straight from the corner of the celling to where the fly is.
straight from where it is to the celling: 1 feet
diagonally from the celling to the wall where the fly:
it is a right triangle hipotenuse what we want, leg 12 and 8. (see picture attached): h² = 12² + 8² h = √208 h = 14.4 feet
straight from the corner of the celling to where the fly is: 7 feet.
1 + 14.4 + 7 = 22.4
<h2>Answer</h2>
2. The Graph Contains The Point (5, 12)
<h2>Explanation</h2>Remember that in a linear function of the form ,
is the slope/rate of change of the line and
is the y-intercept.
From our equation we can infer that , so the y-intercept of our graph is 12 units above the origin on the point (0, 12). Therefore, choice 2 correctly describe the graph of y = 5x + 12
We can also infer that , so the slope of our line is 5, which is constant, so our line has a constant rate of change. Also, since every integer can be written as a fraction with denominator 1, we can write our slope as
. Therefore, choices 1 and 2 correctly describe the graph of y = 5x + 12.
Now, remember that any point on the plane has coordinates , so, to check if a point is on a line, we just need to replace the
and
values in the line equation and check if the equation holds. Our point is (5, 12), so x = 5 and y = 12. Lets replace the values in our line:
Since the equation equation doesn't hold (12 is not equal 37), we can conclude that the graph doesn't contain the point (5, 12). Therefore, choice 2 does NOT correctly describe the graph y = 5x +12.