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Mars2501 [29]
3 years ago
13

What is the wrong with the problem

Mathematics
1 answer:
galben [10]3 years ago
5 0
You did the top right but the denominator is 0 so the slope in undefined or 0.

Hope this helps!
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Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
g100num [7]

Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

D) For c ≡ a² + b² ( mod 13 ); C is 6

E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

2 x 13 = 26

36 - 26 = 10

Thus, the answer to "What is 36 mod 13?" is 10

So C = 10

B) c ≡ 11 b ( mod 13 ) = 11 x 9 ( mod 13 ) = 99 ( mod 13 )

Using the same method as above,

99 ( mod 13 );

99 / 13 = 7.6155

7 x 13 = 91

99 - 91 = 8

So, C = 8

C)c ≡ a + b ( mod 13 ) = 4 + 9 (mod 13) = 13 (mod 13)

Thus;

13 / 13 = 1

1 x 13 = 13

13 - 13 = 0

So, C = 0

D)c ≡ a² + b² ( mod 13 ) = 4² + 9²( mod 13 ) = 16 + 81 ( mod 13 ) = 97 ( mod 13 )

Thus;

97 / 13 = 7.46154

7 x 13 = 91

97 - 91 = 6

So, C = 6

E)c ≡ a² − b² ( mod 13 )= 4² - 9²( mod 13 ) = 16 - 81 ( mod 13 ) = - 65 ( mod 13 )

Thus;

-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

3 0
3 years ago
Which pair of figures appears to be congruent
inn [45]

Answer:

when they have equal sides and the exact shape and the same angle measures. they have tobe the same size.

Step-by-step explanation:

For example, when you have a square with sides 3 cm, then you compare it with the exact copy of the square. These squares are congruent. Two figures are congruent if and only if they have the exact same shape and the exact same size. If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.

7 0
3 years ago
Which number produces a rational number when added to 0.42
kenny6666 [7]
Any Whole or Rational Number, 1 can be used as an Example if you want it Simple

4 0
3 years ago
I need two answers to 0.75x + 0.8(x + 10) = 101. Please do your best
DanielleElmas [232]

Answer:

60

Step-by-step explanation:

7 0
2 years ago
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Which statement is true about the y- intercept of a quadratic function
liraira [26]

Answer:

A. a quadratic function can only have one y-intercep

7 0
2 years ago
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