What is the slope of the line that passes through the points (-6,1) and (4,-4)
1 answer:
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Answer:
The length of the shortest side of the triangle is 10 units.
Step-by-step explanation:
Let <em>a</em> be the shortest side of the isosceles triangle and <em>b</em> be the two congruent sides.
The congruent sides <em>b</em> are each one unit longer than the shortest side. Hence:
The perimeter of the isosceles triangle is given by:
This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be <em>s</em>. Hence:
The perimeter of the square is:
Since the two perimeters are equivalent:
Substitute for <em>b: </em>
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Solve for <em>a</em>. Distribute:
Simplify:
Hence:
The length of the shortest side of the triangle is 10 units.
1.25t+7=43.25 can be used to determine the number of minutes that Raymond was on the trampoline.
Step-by-step explanation:
Given,
Total cost for session = $43.25
Entrance fee = $7
Charges per minute = $1.25
Let,
t be the number of minutes raymond was on Trampoline
Total cost for session = entrance fee + Charges per minute * No. of minutes
1.25t+7=43.25 can be used to determine the number of minutes that Raymond was on the trampoline.
Keywords: linear equation, addition
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Given that Janelle travels at 65 mph. the number of more hours it will
take her to reach her destination is approximately 5 hours.
<h3>How can the time to reach her destination be calculated?</h3>Possible part of the question that appear missing are;
The distance Janelle drove in 4 hours = 260 miles
The distance from which she started = 575 miles
Required:
The number of extra hours it will take her to reach her destination
Solution:
The remaining distance = 575 miles - 260 miles = 315 miles
Which gives;
The time it takes Janelle to reach her destination ≈<u> 5 hours</u>
Learn more about average speed during motion here: