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motikmotik
3 years ago
6

If f(x) = 3x² tlo, what is f(-7)?

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Be careful how you handle this.

f(-7) = 3(-7)^2

f(-7) = 3* 49     Notice the minus sign disappears. That's because there are 2 of them.

f(-7) = 147

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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
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<u>To Find</u> :-

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We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

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\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

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