what is the standard form of 7+3i/2-5i

Answer:

98 centimeters

Step-by-step explanation:

perimeter of rectangle=2(l+b)

width=breadth=77centimetrs

perimeter=340 centimeters

340=2(l+77)

340=2l+144

340-144=2l

196=2l

l=98 centimetrs

Answer:

A. Domain : (-∞, ∞)

B. Function is increasing in the interval (-2, 0) and (2, ∞)

   Decreasing in the interval of (-∞, -2) and (0, 2).

Step-by-step explanation:

A. Given function is, y = |2x - 1|

This function is the transformed form of the parent function, y = |x|

Domain of the parent function is { x | x is a set of real numbers}

Therefore, domain of the transformed function will be the same as the domain of the parent function.

Domain of the function = {x | x is a real number}

B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]

Domain of the function : (-∞, ∞)

Critical points of the function are,

⇒ x = 0, ±2

Now we find the three intervals where we have to check the function to be increasing or decreasing.

(-∞ -2), (-2, 0), (0, 2), (2, ∞)

Derivative of the function f(x),

f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]

Here, f'(x) < 0 for (-∞, -2)

f'(x) > 0 for (-2, 0)

f'(x) < 0 for (0, 2)

f'(x) > 0 for (2, ∞)

Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)

And it's decreasing in the interval of (-∞, -2), and (0, 2).

Answer:

Hello dear,

5.102 ×10⁸km

300000000

2.4×10⁵

149600000000m

Hope it will help you

please thank

Answer:

144 degrees.

Step-by-step explanation:

Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.

After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.

First, before we get to the angle of 4, we have to find the value of x:

1) angle 1 + angle 2 = 180

3x + 12x = 180

2) solve the above equation for x

15x = 180

3) divide both sides by 15 for x

x= 12 degrees

We know that angle 4 is the same as angle 2, which is 12x degrees.

So, now that we know what x is, 12 x 12 degrees =  144 degrees.

Hope this helped : )

The measure of angle ∠4 is 144°

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

The measure of angle 1 = ( 3x )°

The measure of angle 2 = ( 12x )°

Angle 1 and Angle 2 are on the straight lines

So , the sum of the measures of angles = 180°

On simplifying the equation , we get

3x + 12x = 180

15x = 180

Divide by 15 on both sides of the equation , we get

x = 12

Substituting the value of x in the equation , we get

The measure of angle 2 = measure of angle 4 ( corresponding angles )

So , the measure of angle 4 = ( 12x )°

And , the measure of angle ∠4 = 144°

Hence , the angle ∠4 = 144°

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Answer:

work is shown and pictured

Answer:

(4x + 5)(4x + 5)

Step-by-step explanation:

Took test.

Want a more in-depth explanation? Try visiting the Math Nation site.

Answer:

Option C.

Step-by-step explanation:

The given table is

x   f(x)

-4    0

-2    2

0    8

2    2

4    0

6   -2

A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.

From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).

Therefore, the correct option is C.

Answer:

it is c (-4,0), (4,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

most probably secant

hope it helps

Answer:32/3

Step-by-step explanation:

1/3(2)4^2

1/3(2)(4^2)

2/3(16)

32/2

Answer:

f(2)=16/3

Step-by-step explanation:

f(2)=1/3 (4^2)

f(2)=1/3(16)

f(2)=16/3

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

Answer:

The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22

Step-by-step explanation:

We convert the equation to the form (x - h)² + (y - k)² = r²

Where:

(h, k) = Coordinates of the center of the circle

We therefore have;

x² + y² - 2·x + 3·y = 8 which gives;

x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8

(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8

(x - 1)² + (y + 3/2)²  = 8 +  1 + (3/2)² = 45/4

Therefore, the center = (1, -3/2) and the radius = √5 × 3/2

The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;

Midpoint between (1, -3/2) and  (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]

Which gives;

y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]

Which gives;

4·h -2·k -13 = 0.......(1)

Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles

Therefore;

The slope of the line, y = 2·x - 3 = 2, hence we have;

[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]

Which gives;

2·h -4·k -12 = 0.......(2)

Multiplying equation (2) and subtracting from equation (1) gives

4·h -2·k -13 - 2×(2·h -4·k -12) = 0

6·k + 11 = 0

k = -11/6

From which we have;

2·h -4×(-11/6) -12 = 0

Hence;

h = 7/3

Therefore, the center of the reflected circle = (7/3, -11/6)

The equation of the reflected circle is therefore;

(x - 7/3)² + (y + 11/6)² = 45/4

Which gives;

9·x² + 9·y² - 42·x + 33·y - 22 = 0

or x² + y² - 42/9·x + 33/9·y = 22/9.

Answer:

(-1,-2)

Step-by-step explanation:

I graphed the equation on the graph below so you can see that (-1,-2) is a solution.

Answer:

i think it is -9x/7

Step-by-step explanation:

Answer:

82units²

Step-by-step explanation:

=2(3*7)+2(3*2)+2(7*2)

=82 units²

Answer:

[tex]82 {units}^{2} [/tex]

Step-by-step

explanation

explanation is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

18 books per box

Step-by-step explanation:

This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.

Answer:

[tex]18[/tex] books per box.

Step-by-step explanation:

To figure out out many books are in each box, divide the total amount by how many boxes there are.

[tex]126/7=18[/tex]

There are 18 books in each box.

:)

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

Answer:6

Step-by-step explanation:

The base is 3 and the height is 4

3*4/2 = 6

Answer:

6 units^2

Step-by-step explanation:

The base (segment DE) is 3 units.

The height is 4 units. (From point F going horizontally until it intersects segment DE)

Formula for area of a triangle: (1/2)BH

(1/2)(3)(4) = (1/2)12 = 6

Answer:

y=3/2x+11/2

Step-by-step explanation:

divide the whole thing by 2

2y=3x+11 divided by 2 equals

y-3/2x+11/2

then just plug in the 3 points

Answer: D

Step-by-step explanation:

Answer:

2( 6x+5+2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2*6x + 2*5 + 2*2y

2( 6x+5+2y)

Answer:

7/15

Step-by-step explanation:

probability of one being a a 3-pointer is

1 2 3 4 5 6 7

7/15

Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.

" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of  any event."

Formula used

Probability =  [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Random number represents 15 trials

Therefore,

Total number of outcomes = 15

At least one of the 5 team baskets made by the team is a 3- pointer

Sample space of favourable outcomes

                         =  { 81357, 21761, 51537, 62135, 16687, 41662, 27135}

Number of favourable outcome = 7

Required probability = 7 / 15

Hence, Option (D) is the correct answer.

Learn more about probability here

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Answer:

B)

Step-by-step explanation:

6x - 9

Here, 6x is a term and -9 is another term

Answer:

Total Students = 3a - 2b

Step-by-step explanation:

Given

Students in drama club = a

There are twice as many students in cooking club as in drama club;

So, Students in cooking club = 2a

Members of both clubs = b

Required

Expression for total students in cooking or drama club but not both;

To do this, number of students in individual clubs need to be calculated;

Let Students in drama club only  be represented by D and Students in cooking club only be represented by C

So,

D = Students in drama club - Members of both clubs

D = a - b

Similarly,

C = Students in cooking club - Members of both clubs

C = 2a - b

So, total students in cooking or drama club but not both D + C

Total students = a - b + 2a - b

Collect like terms

Total Students = a + 2a - b - b

Total Students = 3a - 2b

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.

Answer:

We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.

Answer:

4, -1

Step-by-step explanation:

2x-3=5

x=4

2x-3=-5

x=-1

Answer:

(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)

Step-by-step explanation:

Answer:

x, y = -3/2, -3/2

Step-by-step explanation:

photo math will be your best friend

Answer: y = 2/3 x -2/3

Answer:

The answer is option D.

A n B is { 7 }

Hope this helps.

Answer:

it will still be zero

Step-by-step explanation:

12-12 = 0