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2 years ago

Expand 4x(7x-11)expand 3x(7-5x)Can someone help me with tge questions above?

2 answers:

5 0

If we had a number, or a single algebraic term, multiplying bracketed terms, then all terms in thebrackets must be multiplied.....

melamori03 [73]2 years ago

4 0

( 7 x - 11 )

( 7 - 5x )

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Using the extended Euclidean algorithm, find the multiplicative inverse of a. 135 mod 61 b. 7465 mod 2464 c. 42828 mod 6407

rodikova [14]

Answer:

(a)1≡47 mod 61

(b)1≡2329 mod 2464

(c)Does not exist

Step-by-step explanation:

The operation a(mod b) has an inverse if the the two integers (a,b)

are co-prime. i.e. their g.c.d is 1.

(a)Given 135 mod 61

We first reduce it to its lowest form.

135 mod 61=13 mod 61

61=13(4)+9 ==> 9=61-13(4)

13=9(1)+4 ==> 4=13-9(1)

9=4(2)+1 ==> 1=9-4(2)

4=1(4)

Next we rewrite 1 as a linear combination of 13 and 61.

1=9-4(2)

=9-(13-9(1))2

=9(3)-13(2)

=(61-13(4))(3)-13(2)

=61(3)-13(12)-13(2)

1=61(3)-13(14)

1=61(3)+13(-14)

1≡-14 mod 61≡(-14+61)mod 61

1≡47 mod 61

(b)7465 mod 2464

Reducing it to its lowest form

7465 mod 2464=73 mod 2464

2464=73(33)+55 ==>55=2464-73(33)

73= 55(1)+18 ==> 18=73-55(1)

55=18(3)+1 ==>1=55-18(3)

18=1(18)

Rewriting 1 as a linear combination of 73 and 2464.

1=55-18(3)

=2464-73(33)-(73-55(1))(3)

=2464-73(33)-73(3)+55(3)

=2464-73(36)+55(3)

=2464-73(36)+(2464-73(33))(3)

=2464-73(36)+2464(3)-73(99)

=2464(4)-73(135)

1=2464(4)+73(-135)

Therefore:

1≡-135 mod 2464

1≡(-135+2464)mod 2464

1≡2329 mod 2464

The two numbers are not co-prime. In fact their g.c.d is 43.

Therefore their inverse does not exist.

4 0

2 years ago

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Which of the following are steps in multiplying fractions? Multiply the numerators. Divide the numerator by the denominator. Mul

aksik [14]

You times the numerator by the numerator and the denominator by the denominator
thats all

8 0

2 years ago

Read 2 more answers

The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?

Alecsey [184]

Answer:

Step-by-step explanation:

Whole numbers are the basic counting numbers: $0,\ 1,\ 2,\ 3,\ 4, \....$

Integers are whole numbers and negative numbers: $...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...$

Rational numbers are all fractions $\frac{m}{n},$ where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number $\pi$ is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number $\pi$ is irrational number $-2\pi$

Correct option - option D

7 0

1 year ago

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In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point o

Sergeu [11.5K]

Answer:

$arc\ JM=132^o$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

$arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o$ ----> by complete circle

substitute the given values

$(13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o$

solve for x

$(33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10$

step 2

Find the measure of arc JM

$arc\ JM=(13x+2)^o$

substitute the value of x

$arc\ JM=(13(10)+2)^o=132^o$

8 0

2 years ago

Read 2 more answers

Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He want

aleksandrvk [35]

Answer:

Scott will take 221 minutes to run 52 km

Step-by-step explanation:

Speed

The speed of an object can be calculated with the formula:

$\displaystyle v=\frac{d}{t}$

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

$\displaystyle v=\frac{20}{85}\ km/min$

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

$\displaystyle t=\frac{d}{v}$

Since the speed has been already determined:

$\displaystyle t=\frac{52}{\frac{20}{85}}$

Multiplying by the reciprocal of the denominator:

$\displaystyle t=52*\frac{85}{20}$

t = 221 min

Scott will take 221 minutes to run 52 km

4 0

1 year ago

Read 2 more answers