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2 years ago

The gradient of the line y = x+3y=9

Mathematics

1 answer:

Karolina [17]2 years ago

4 0

Answer:

change the expression to y

Step-by-step explanation:

$x + 3y = 9$

$3y = - x + 9$

$y = \frac{ - 1}{3} x + \frac{9}{3}$

the gradient is the coefficient of x,

$- \frac{1}{3}$

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What adds to 1 and multiplies to 2

kicyunya [14]

-2 and 1.

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3 years ago

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Multiplication in GF(24 ): Compute A(x)B(x) mod P(x) in GF(24 ) using the irreducible polynomial P(x) = x 4 + x + 1, where A(x)

tankabanditka [31]

Answer:

Step-by-step explanation:

hello,

i advice you check the question again if it is GF( $2^{4}$ ) or GF(24). i believe the question should rather be in this form;

multiplication in GF( $2^{4}$ ): Compute A(x)B(x) mod P(x) = $x^{4}$ + $x$ +1, where A(x)= $x^{2}$ +1, and B(x)= $x^{3} + x+1$ .

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)= $(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1 ) = (x^{5} +x^{3}+x^{2} ) + (x^{3}+x+1 ) mod (x^{4} + x+1 )$

= $x^{5}+2x^{3} +x^{2} + x + 1 mod(x^{4}+x+1 )$

= $2x^{2} +1$

please note that the division by the modulus above we used

$\frac{x^{5}+2x^{3}+x^{2} +1 }{x^{4}+x+1}= x+\frac{2x^{3} +1}{x^{4}+x+1}$

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2 years ago

Rewrite 1/100,000,000 as a power of 10

yarga [219]

1/100,000,000 , note that 100,000,000 = 10⁸ , then:

1/100,000,000 = 1/10⁸
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2 years ago

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Tell whether the sequence is arithmetic. If it is, what is the common difference?

Ilya [14]

The answer is B. Yes; 4

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2 years ago

Ashley has a sprinkler that has several varieties of coverage. The quarter circle sprinkler head sprays water a distance of up t

alukav5142 [94]

Answer:

314 square feet

Step-by-step explanation:

we know that

The area that will be covered by the spray of the quarter-circle sprinkler head, is equal to the area of a quarter circle with radius of 20 feet

The area of a quarter circle is

$A=\frac{1}{4}\pi r^{2}$