Vinnie drives his car 210 miles and has an average of a certain speed. If the average speed had been 3mph more, he could have tr
2 answers:
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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.
Answer:
g(x)<j(x)<k(x)<f(x)<m(x)<h(x)
Step-by-step explanation:
1.
The denominator of f is defined for all real values of x
Therefore, the function is continuous on the set of real numbers
3.
It cannot be factorize .
Therefore, it has no real values for which it is not defined .
Hence, function h is defined for all real values.
2.
The denominator of g is defined for all real values of x.
Therefore, the function g is continuous on the set of real numbers
4.
x-9=0
x=9
The function i is not defined for x=9
Therefore, the function i is not continuous on the set of real numbers.
5.
The denominator of j is defined for all real values of x.
Therefore, the function j is continuous on the set of real numbers.
6.
It cannot be factorize .
Therefore, it has no real values for which it is not defined .
Hence, function k is defined for all real values.
7.
The function is not defined for x=8 and x=1
Hence, function l is not defined for all real values.
8.
The denominator of m is defined for all real values of x.
Therefore, the function m is continuous on the set of real numbers.
g(x)<j(x)<k(x)<f(x)<m(x)<h(x)