Triangle inequality theorem-are the lengths 7, 4, and 2 of a triangle possible?
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Answer:
Step-by-step explanation:
NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2
AT = √[(8 - 1 )² + (1 - 2)²] = 5√2
TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2
NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2
NA = AT = TS = NS = 5√2
= (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>
= (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>
From (1) and (2) ⇒ NA║TS
= ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... <em>(3)</em>
= ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... <em>(4)</em>
From (3) and (4) ⇒ AT║NS
Thus, NATS is rhombus.
Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students get to attend college.
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A decaying linear function has the following format:
In which
- A(0) is the initial amount.
- m is the slope, that is, the yearly decay.
- In 2000, 45% believed, thus,
- Decaying by 1.7 each year, thus
.
The equation is:
It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:
2000 + 20 = 2020
By 2020 only 11% of all American adults believe that most qualified students get to attend college.
A similar problem is given at brainly.com/question/24282972