All categories

3 years ago

Which of the following is the quotient of the complex numbers below ? (10+2i)/(5-6i)

Mathematics

1 answer:

Tresset [83]3 years ago

3 0

Answer: 38/61+70/61i

Step-by-step explanation:

You might be interested in

Morton made 36 out of 48 free throws last season. What percent of his free throws did Morton make. Help!!! T-T

blondinia [14]

75 % free throws are made by Morton

Solution:

Given that Morton made 36 out of 48 free throws last season

To find: Percent of free throws made by Morton

From given statement,

total number of throws = 48

throws made by morton = 36

Thus the percent of free throws made by Morton is given as:

$percent = \frac{\text{number of throws made}}{\text{total number of throws}} \times 100$

Substituting the values, we get

$percent = \frac{36}{48} \times 100\\\\percent = 0.75 \times 100 = 75 %$

Thus 75 % of his free throws are made by Morton

4 0

3 years ago

Please answer this question

Tems11 [23]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :- </h3>

• $\sf{ Polynomial :- ax^{2} + bx + c }$

• The zeroes of the given polynomial are α and β .

<h3>Let's Begin :- </h3>

Here, we have polynomial

$\sf{ = ax^{2} + bx + c }$

We know that, 

Sum of the zeroes of the quadratic polynomial

$\sf{ {\alpha} + {\beta} = {\dfrac{-b}{a}}}$

And 

Product of zeroes

$\sf{ {\alpha}{\beta} = {\dfrac{c}{a}}}$

Now, we have to find the polynomials having zeroes :-

$\sf{ {\dfrac{{\alpha} + 1 }{{\beta}}} ,{\dfrac{{\beta} + 1 }{{\alpha}}}}$

Therefore ,

Sum of the zeroes

$\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} )+( {\beta}+{\dfrac{1 }{{\alpha}}})}$

$\sf{ ( {\alpha} + {\beta}) + ( {\dfrac{1}{{\beta}}} +{\dfrac{1 }{{\alpha}}})}$

$\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{{\alpha}+{\beta}}{{\alpha}{\beta}}}}$

$\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{-b/a}{c/a}}}$

$\sf{ {\dfrac{ -b}{a}} + {\dfrac{-b}{c}}}$

$\bold{{\dfrac{ -bc - ab}{ac}}}$

Thus, The sum of the zeroes of the quadratic polynomial are -bc - ab/ac

Product of zeroes

$\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} ){\times}( {\beta}+{\dfrac{1 }{{\alpha}}})}$

$\sf{ {\alpha}{\beta} + 1 + 1 + {\dfrac{1}{{\alpha}{\beta}}}}$

$\sf{ {\alpha}{\beta} + 2 + {\dfrac{1}{{\alpha}{\beta}}}}$

$\bold{ {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}$

Hence, The product of the zeroes are c/a + a/c + 2 .

We know that, 

For any quadratic equation

$\sf{ x^{2} + ( sum\: of \:zeroes )x + product\:of\: zeroes }$

$\bold{ x^{2} + ( {\dfrac{ -bc - ab}{ac}} )x + {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}$

Hence, The polynomial is x² + (-bc-ab/c)x + c/a + a/c + 2 .

<h3>Some basic information :-</h3>

• Polynomial is algebraic expression which contains coffiecients are variables.

• There are different types of polynomial like linear polynomial , quadratic polynomial , cubic polynomial etc.

• Quadratic polynomials are those polynomials which having highest power of degree as 2 .

• The general form of quadratic equation is ax² + bx + c.

• The quadratic equation can be solved by factorization method, quadratic formula or completing square method.

6 0

2 years ago

Can 1=2? I DON"T KNOW!

pshichka [43]

nope not at all lol

Step-by-step explanation:

8 0

3 years ago

Need help with the problem in the photo.

mr_godi [17]

Answer:

B. 3x -2y = 10

Step-by-step explanation:

The given line rises three units for each two units of run to the right. Hence its slope is 3/2. A parallel line will also have a slope of 3/2.

Of the equations we can see, selection B has a slope of 3/2. It can be rewritten in slope-intercept form as ...

3x -10 = 2y . . . . . add 2y-10 to isolate the y-term; next divide by 2.

y = 3/2x -5 . . . . . the coefficient of x is the slope

4 0

4 years ago

Read 2 more answers

-0.5, -0.67, -2/3, -13/20, -17/25

Alla [95]

Question: -0.5, -0.67, -2/3, -13/20, -17/25

Answer: = −19 /6

3 0

3 years ago