The limit can be found by simplifying the expression.
The limit is -12.
Yes -1 is a rational number. We can express it as a fraction of two whole numbers
One way is -1 = -1/1
8) red and 1, red and 2, red and 3, blue and 1, blue and 2, blue and 3
So answer is 6
9) 0.5*1/3 = 0.17
10) 0.5*2/3 = 0.33
<h3>
Answer: 14 feet</h3>
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Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
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If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.
You start from 0. Since Barton saves $20 each week, you have to move 20. So, from 0 you will go to 20, then 40, then 60 and the pattern goes on. At the same time you go right in a diagonal line. I attached a picture but I'm not sure you will understand it well.