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jarptica [38.1K]
2 years ago
15

If g(x) = x2 − 4, find g(5). 6 14 21 29

Mathematics
2 answers:
Shtirlitz [24]2 years ago
5 0

Answer:

21

Step-by-step explanation:

I used to have trouble with these too! So what you are going to need to do first, is replace the x in the equation with 5. After you do that, things are pretty straightforward from there. 5 to the second power is 25, and 25 minus 4 is 21. I hope I helped :)

Tcecarenko [31]2 years ago
3 0

Answer:

21

Step-by-step explanation:

I am guessing it is the problem where the 2 is an exponent? I had that one. 5x5 is 25, minus that by 4 and you get 21.

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Answer:

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Step-by-step explanation:

6 0
2 years ago
The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
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6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
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However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
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Answer choice:  [C]:  " 7.2 units" .
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3 years ago
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Answer:

Step-by-step explanation:

Reasons

2. If two lines are parallel, their corresponding angles are congruent.

3. Congruent angles are equal... Why do they even have this step?

4. A straight line forms a linear pair.

5. Angles in a linear pair are supplementary.

6. ∠1 is supplementary to ∠3. Reason: If an angle is congruent to an angle that is supplementary to a third angle, the first and third angles are congruent OR Transitive Property.

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Answer:

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Step-by-step explanation:

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