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Answer: 25</h3>
Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.
The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5
Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.
We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.
The spring constant, k, in Hooke's Law has units of Newton per meter since it is a constant for the force applied per unit of length. The spring constant measures how strong and stiff the spring is. Hope this answers the question. Have a nice day.
Answer:
hello, This can be solved using your standard rise over run slope calculation. Think of the number of years after 1990 as your input variable. 2007 would be 17 years after 1990, so the "y" variable would be 17. This is your "run", and it goes in the denominator of your slope calculation. Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500. Dividing, you will get 5441.17. Since we're talking about humans, we can't have a decimal, so let's round up to 5442.
Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000. Do you know why we add the 123000? It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.
Hope this helps.
Step-by-step explanation:
Answer:
min{5 x^2 - 20 x + 3} = -17 at x = 2
Step-by-step explanation: here's the graph
