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Blababa [14]
2 years ago
13

PLEASE HELP VERY URGENT

Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

Answer:

A. square root of a^2 + b^2 for both answers

Step-by-step explanation:

The first problem, we are given

a^2 + b^2 = c^2

What we do is solve for c.

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

For problem 2,

WE can apply the Pythagorean theorem because we have a right triangle.

The equations is

a^2 + b^2 = c^2 like the first problem

Solving gets us

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

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Determine whether each table represents a linear, quadratic, exponential function.
Nesterboy [21]

Answer:

A: Exponential

B: Quadratic

C: Linear

Step-by-step explanation:

Let analyse each table

  • Table A

X            Y              ΔY/ΔX

1             5               xxxxxx              

2            11            11 - 5 = 6            

3           29             29 - 11 = 18          

4           83             83 - 29 = 54

.....................

We can see that, [ ΔY/ΔX ]   increases at the fastest rate out of all functions, so it must be exponential function

  • Table B

X            Y                 ΔY/ΔX            Δ^2Y/ΔX^2          

0             5                 xxxxxx              xxx              

1              7                 7 - 5 = 2            xxx            

2             13               13 - 7 = 6           6-2 = 4        

3             23              23 - 13 = 10       10-6 = 4

..............................

It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values

  • Table C

X            Y                 ΔY/ΔX                      

3             20               xxxxxx                  

6             18                 2 / 3

9             16                 2 / 3                    

15            12                 2 / 3      

..............

It is a linear because ΔY/ΔX = 2/3 are constant for all values

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