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Sergio039 [100]
3 years ago
15

What is the remainder of the following division problem

Mathematics
2 answers:
OlgaM077 [116]3 years ago
7 0

Answer:

The remainder is 1

Step-by-step explanation:

topjm [15]3 years ago
6 0

Answer:

The remainder of the following division problem is 1.

Step-by-step explanation:

In the given division problem

Divisor = x

Dividend = x+1

If one polynomial divided by another polynomial, then the remaining polynomial is known as remainder.

The result of division is called the quotient.

\frac{x+1}{x}=\frac{x}{x}+\frac{1}{x}=1+\frac{1}{x}

Here the result is 1 and remaining expression is 1.

From the given figure it is clear that

Quotient = 1

Remainder = 1

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N is the sum of three consecutive primes and is also the product of two 2-digit primes, what is the least possible value of N
Nookie1986 [14]

Hello from MrBillDoesMath!

Answer:   N = 143

Discussion:

This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers:  11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of  3 consecutive primes.   I went back to my list of primes,  added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on  43, 47, and 53!

43 + 47 + 53 =  143 !


Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.


Thank you,

MrB


7 0
3 years ago
Is perpendicular to ? Explain.
olga2289 [7]
Two lines are perpendicular if and only if the product of their slopes is - 1.

So, you just need to find the slope of each line and find out the product of their slopes.

I will do one example for you.

L1: y = 3x + 5

L2: y = - 3x + 14

L3: y = -x/3 + 14

The slope of a line is the coefficient of the x.

So the slopes are:

L1: slope 3
L2: slope -3
L3: slope -1/3

So now multiply the slopes of each pair of lines:

L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular

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6 0
3 years ago
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Strike441 [17]
Triangle WYZ and triangle TWY are congruent, therefore WZ = TW
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6 0
3 years ago
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Convert the complex number z = -12 + 5i from rectangular form to polar form.​
Paha777 [63]

Answer:

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Step-by-step explanation:

The given complex number is

z=-12+5i

The polar form of this complex number is;

z=r(\cos \theta +i\sin \theta), where

r=\sqrt{(-12)^2+5^2}

r=\sqrt{144+25}=\sqrt{169}=13

and

\theta =\tan^{-1}(\frac{5}{-12})

This implies that;

\theta=157\degree to the nearest degree.

Hence the polar form is

z=13(\cos 157\degree +i\sin157\degree)

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