Hi please help me thank you

Answer:

To write the equation of a circle given its center and a point on the circle, we need to use the standard form of the equation of a circle, which is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is the radius.

Let's use point A as the point on the circle. We are given that the center of the circle is (4, -2) and point A is (6, 1). We can use the distance formula to find the radius of the circle:

r = √[(6 - 4)^2 + (1 - (-2))^2] = √[4^2 + 3^2] = 5

Now we can substitute the center and radius into the standard form equation:

(x - 4)^2 + (y + 2)^2 = 5^2

Simplifying and expanding the right-hand side, we get:

Therefore, the equation of the circle is (x - 4)^2 + (y + 2)^2 = 25 and we used point A to find it.

Therefore , the solution of the given problem of percentage comes out to be were tuned in to a specific program or show at a given moment.

A number or figure stated as a fraction of 100 is referred to as "a%" in statistics. The versions that begin with "pct," "pct," and "pc" are also uncommon. The common way to indicate it is with the numeral "%," though. Furthermore, there are no indicators and a flat ratio of every single thing to the total number. Percentages are basically integers because they frequently add up to 100.

Here,

The TV ratings, also known as the TV audience share, are a measurement of the proportion of all television-owning households that are watching the same program at the same moment.

Networks and marketers use it as a gauge of a TV show's popularity to decide how successful a program will be and how much to charge for advertising during it.

Companies like Nielsen, which use a sample of homes with televisions to estimate the audience size for a given program or show, are usually in charge of gathering the TV ratings.

TV ratings are expressed as a proportion of all households with televisions that were tuned in to a specific program or show at a given moment.

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

Answer:

a. The sample chosen from magazine subscription lists, automobile registration lists, phone books, and club membership lists was not representative of the population of the United States at that time for several reasons. Firstly, in 1936, only a small fraction of the US population had magazine subscriptions or owned cars, telephones or club memberships. Hence, the sample was biased towards the more affluent and educated sections of society, and did not include a representative cross-section of the population. Secondly, the sample was limited to people who could read and write, which excluded many poor and illiterate people who may have had different political views.

b. The low response rate of 2,300,000 out of the 10,000,000 postcards sent out indicates a response rate of only 23%. This means that the sample was not a random sample, and that the respondents were not representative of the larger population. Low response rates tend to increase sampling error and decrease the reliability of the sample.

c. These problems are examples of nonsampling error, which occur due to factors other than the sample selection process. The bias in the sample resulted from the sampling frame, which was not representative of the population, and the low response rate.

d. Quota sampling is an example of non-probability sampling, where researchers select a specific number of participants from different subgroups of the population based on predetermined quotas. In this method, the goal is to obtain a sample that is representative of the population in terms of certain characteristics, such as age, gender, or ethnicity. Quota sampling was used by George Gallup in 1936, and is still used today in various forms, such as stratified sampling.

(please could you kindly mark my answer as brainliest)

The data we get from the question is a random experiment can result in one of the outcomes {a,b,c,d} with probabilities from that information, P(A U B U C) = 0.8.
         

The given probabilities of events and outcomes are:

       P({a}) = 0.4,P({b}) = 0.1,P({c}) = 0.3,P({d}) 0.2

 So the given events are:

        A = {a,b},B = {b,c,d},C = {d}

   We have to find P(A U B U C) Using the formula of the probability of the union of two events,

    we get:

          P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

Now we will find the values of all probabilities:

                  P(A) = P({a}) + P({b})

                         = 0.4 + 0.1

                         = 0.5

                   P(B) = P({b}) + P({c}) + P({d})

                          = 0.1 + 0.3 + 0.2

                           = 0.6

                   P(C) = P({d})

                            = 0.2

                      P(A ∩ B) = P({b})

                                     = 0.1

                      P(A ∩ C) = P({d})

                                     = 0.2

                      P(B ∩ C) = P({d})

                                     = 0.2

               P(A ∩ B ∩ C) = 0

 (No common event) Put all the above values in the formula:

           P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) +

                                     P(A ∩ B ∩ C)

                                 = 0.5 + 0.6 + 0.2 - 0.1 - 0.2 - 0.2 + 0

                                 = 0.8

         Therefore, P(A U B U C) = 0.8 is the required probability.

To learn more about outcomes with probabilities: https://brainly.com/question/25688842

#SPJ11

Answer:

1/3

Step-by-step explanation:

There is an equal chance of getting a blue, red or yellow disk.

The daily dose is 40mg, this dose per kilogram per day is within the therapeutic range of 2-3mg/kg/day, which means that the medication is within the safe and effective range for this patient's weight.

The weight of the patient is 20kg, and the prescribed dosage is 10mg every 6 hours. To calculate the daily dose, we need to multiply the prescribed dosage by the number of doses per day. Since the medication is prescribed every 6 hours, this means that the patient will take it 4 times a day.

=> (10mg x 4 doses) = 40 mg

The therapeutic range is the range of doses at which the medication is most effective and safe. In this case, the therapeutic range is 2-3mg/kg/day. To determine if the daily dose is within the therapeutic range, we need to divide the daily dose (40mg) by the patient's weight (20kg) to get the dose per kilogram per day, which is 2mg/kg/day.

However, it's important to note that the therapeutic range is a general guideline and may vary depending on the patient's individual circumstances and medical history.

To know more about therapeutic here

https://brainly.com/question/14598348

#SPJ4

209 went to the first game.

192+17=209

Happy to help.

She must purchase and sell at least 61 jars to make a profit of $214.

First, calculate the cost per jar of honey that Alissa purchased:

$65/6 jars = $10.83/jar

Then, calculate the selling price per jar of honey:

$72/5 jars = $14.40/Jar

The profit per jar of honey is the selling price minus the cost price:

$14.40 - $10.83 = $3.57/jar

To find the number of jars that Alissa needs to sell to make a profit of $214, divide the total profit by the profit per jar:

$214 ÷ $3.57/jar ≈ 60.03 jars

Since Alissa cannot sell 0.03 of a jar of honey, she must purchase and sell at least 61 jars to make a profit of $214.

Learn more about cost price at

https://brainly.com/question/29511226

#SPJ11

The value of' b' is 27 when' a' is three.

The presented equation is a x 9 = b, wherein' a' is a variable and' b' is the product of' a' and nine. we are asked to find the value of' b' when' a' is 3.

Substituting the value of' a' into the equation, we get

3 x 9 = b

27 = b

Thus, the value of' b' is 27 when' a' is three.

On this equation,' a' is a variable, this means that that its cost can trade. still, the value of' b' is dependent on the price of' a'. whilst' a' is 3, the price of' b' is 27. this is an illustration of a easy linear equation, in which the value of one variable is dependent on the figure of any other variable, and can be used to model real-global situations.

Learn more about linear equation:-

https://brainly.com/question/28732353

#SPJ4

Answer: 7.8%

Step-by-step explanation:

Because it is.

Answer: 844344.55555

Answer: The null hypothesis (H0) is the statement that there is no significant difference between the proportion of people in the region with the O positive blood type (p) and the population proportion (p0) of 0.38.

The null hypothesis is usually denoted as:

H0: p = p0

In this case, p0 is given as 0.38, so the correct answer is:

H0: p = 0.38

Step-by-step explanation:

It took 25 hours and 48 minutes employee worked for the week. Thus, option B is correct.

A timesheet is a data table which an emplοyer can use tο track the time a particular emplοyee has wοrked during a certain periοd. Businesses use timesheets tο recοrd time spent οn tasks, prοjects, οr clients. There are different methοds that have been used tο recοrd timesheets, such as paper, spreadsheet sοftware, and οnline time-tracking sοftware. Paper-based timesheets have nοw given way tο the digital fοrmats.

1st Day = 12 + 4 pm - 8:45 am

             = 16 - 8:45

              = 7:15 hours

2nd day = 12 + 5 pm - 9:14 am

              = 17 - 9:14

              = 7:46 hours

3rd day = 12 + 4:02 pm - 8:30 am

              = 16:02 - 8:30

              = 7:32 hours

4th day  = 12 + 5:00 pm - 9:08am

              = 17:00 - 8:30

              = 8:30 hours

5th day  = 12 + 3:30 pm - 8:07 am

              = 15:30 - 8:07

              = 7:23 hours

Adding all the hours of work =  7:15 hours + 7:46 hours +7:32 hours + 8:30 hours + 7:23 hours =  25 hours and 48 minutes

Thus, It took 25 hours and 48 minutes employee worked for the week. Thus, option B is correct.

To know more about nearest rounded visit:-

brainly.com/question/1285194

#SPJ1

In response to the stated question, we may state that To conclude, the function problem's relation is a function for all x values except x between 3 and 4.

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.

If and only if each input has precisely one output, a relation is a function. To determine whether the connection stated in the issue is a function, we must examine whether any x values have more than one output.

We may achieve this by putting the specified points on a graph and looking for vertical lines that cross the graph more than once. If so, the relationship is not a function.

We may create the following graph with the supplied points:

    |                    

8  |                    

    |                    

7  |              ●      

    |                    

6  |           ●        

    |                    

5  |                    

    |                    

4  |          ●          

    |                    

3  |              ●      

    |                    

2  |    ●                

    |                    

 1  |                    

    |                    

0  |                    

    |                    

-1 |                    

    |                    

-2 |                    

    |                    

-3 |                    

    |                    

-4 |                    

    |                    

    |_____________________

       -4  -3  -2  -1  0  1  2  3  4

Apart for the line travelling through the points (3, 2) and (4, 2), there is no vertical line that intersects the graph in more than one spot (4, -3). As a result, if x is between 3 and 4, the relation specified in the issue is not a function.

To conclude, the problem's relation is a function for all x values except x between 3 and 4.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

We cannot use arccos (28/53) and arcsin (28/53) because they correspond to angle B, not angle A. Similarly, arctan (28/45) and arctan (45/28) do not give the measure of angle A.

The cosine function has an opposite known as the arccos function. It provides the angle whose cosine is the specified value. Try it. Drag any vertex of the triangle and watch how the angle C is determined using the arccos() function. Meaning: A 30 degree angle is one whose cosine is 0.866.

The inverse cosine function is the arccosine. The arccosine function's input values range from -1 to 1, matching the cosine function's output range of -1 to 1. So, for x=2, arccos x is undefined.

From the given figure, we can see that:

cos A = 28/53

sin A = 45/53

Therefore, the expressions that give the measure of angle A are:

(B.) arccos (45/53)

(D.) arcsin (45/53)

To know more about angle visit:-

brainly.com/question/28451077

#SPJ1

Therefore, we need 6 pounds of pecans and 10 pounds of cashews to form 16 pounds of a nut mixture worth $6.50 per pound.

by the question.

Let x be the number of pounds of pecans and y be the number of pounds of cashews in the mixture.

We know that the total weight of the mixture is 16 pounds. Therefore, we have:

[tex]x + y = 16[/tex]

We also know that the mixture is worth $6.50 per pound. This means that the total cost of the mixture is:

[tex]16($6.50) = $104[/tex]

The cost of the pecans is $4 per pound, and the cost of the cashews is $8 per pound. Therefore, the total cost of the pecans in the mixture is 4x, and the total cost of the cashews is 8y. So we have:

4x + 8y = $104

Now we have two equations with two variables. We can solve for x and y using substitution or elimination.

Let's use substitution. We can rearrange the first equation to solve for x:

[tex]x = 16 - y[/tex]

Substitute this expression for x into the second equation:

[tex]4x + 8y = $104[/tex]

[tex]4(16 - y) + 8y = $104[/tex]

[tex]64 - 4y + 8y = $104[/tex]

[tex]4y = $40[/tex]

[tex]y = 10[/tex]

Now we know that there are 10 pounds of cashews in the mixture. We can use the first equation to find the number of pounds of pecans:

[tex]x + y = 16[/tex]

[tex]x + 10 = 16[/tex]

[tex]x = 6[/tex]

To learn more about total cost:

https://brainly.com/question/14927680

#SPJ1

Assuming each spider has 8 legs, it would take 877,256 legs to make 109,657 spiders

The equation of the line that passes through the points (1,3) and (2,2) is y = -x + 4.

To find the equation of the line, we can use the slope-intercept form of a linear equation, y = mx + c, where m is the slope and c is the y-intercept.

First, we need to find the slope of the line. The slope is given by:

where (x1, y1) and (x2, y2) are the coordinates of the two given points. Plugging in the values, we get:

Next, we can use one of the given points and the slope to find the y-intercept. Using the point (1,3), we get:

Simplifying this equation gives us:

c = 4

Therefore, the equation of the line in slope-intercept form is:

y = -x + 4.

Learn more about Line:

https://brainly.com/question/24644930
#SPJ4

Based on the information in the graph, it can be inferred that the false sentence is: The ball landed 11 feet from the person (option C).

To identify the false option we must read all the options and check them with the information in the graph:

According to the above, the correct answer to this question would be option C because the sentence is false with respect to the information in the graph.

Learn more about Cartesian plane in: https://brainly.com/question/28574364

#SPJ1

Check the picture below.

The valid proof approaches are: b. Show P(0), P(1),P(-1) and that Vk E Z P(k) → P(k + 1) and e. Show P(0), P(1),P(-1) and that Vk e Z+ P(k) → P(k + 1) and Vk e Z+ P(-k) → P(-(k + 1))

Approach a is invalid because it only shows that P holds for some integers, but not for all integers.

Approach c is invalid because it only shows that P holds for non-negative integers, but not necessarily for negative integers.

Approach d is invalid because it only shows that P holds for non-negative integers and negative even integers, but not necessarily for negative odd integers.

Approach f is invalid because it only shows that P(0) and P(1) imply P(-k) for all positive integers k, but not necessarily for all integers.

Approach b is a valid proof approach because it establishes a base case for P(0), and then shows that P holds for P(1) and P(-1), and that if P holds for an arbitrary integer k, then it also holds for k+1.

Approach e is also a valid proof approach because it establishes a base case for P(0), and then shows that P holds for P(1), P(-1), and that if P holds for a positive integer k, then it also holds for k+1, and if it holds for a negative integer -k, then it also holds for -(k+1).

Learn more about  mathematical proof techniques:https://brainly.com/question/29521826

#SPJ11

The original wordle has 10657 allowed guess words. Of which 3901 words have at least one letter repeat. In other words, the probability of the word having at least one letter repeat is 36.6%  749 solution words have at least one letter repeat out of a total of 2315 solution words. the number of possible 5-tuples of 26 letters that have at least one letter repeat is "3987776."

In other words, the probability of a solution word having at least one letter repeat is 32.3%To find the number of possible 5-tuples of 26 letters with at least one letter repeat

Step 1: We will find out the number of 5-tuples that do not have any repeated lettersFor the first letter, we have 26 options. As there can be no repetitions, we have 25 options for the second letter. Similarly, for the third, fourth, and fifth letter we have 24, 23, and 22 options respectively.Therefore, the number of 5-tuples that do not have any repeated letters is given by26 × 25 × 24 × 23 × 22 = 7893600

Step 2: We will find out the number of 5-tuples that have at least one repeated letterTotal number of 5-tuples = 26^5Using the formula for finding the number of 5-tuples without any repetition, we can find the number of 5-tuples that have no repetition:26 × 25 × 24 × 23 × 22 = 7893600 Therefore, the number of 5-tuples that have at least one repeated letter is given by the total number of 5-tuples – the number of 5-tuples that have no repetitions= 26^5 - 7893600= 11881376 - 7893600= 3987776Therefore, the number of possible 5-tuples of 26 letters that have at least one letter repeat is 3987776.

For more such questions on probability

https://brainly.com/question/24756209

#SPJ11

Answer: -1x + 2y = 5

Step-by-step explanation:

let me know if i got this right for you broski

Answer:

y= x+7

Step-by-step explanation:

y= mx+c

substitute to find c

5= -1(2) + c

c = 7

therefore slope = -1, (2, 5) in standard form is y=x+7

Using the vertex form the quadratic model for Jordan's monthly revenue is y = 20 / 9(x - 13.5)² + 844.44.

We can use the vertex form of a quadratic equation to create a model for Jordan's monthly revenue:

y = a(x - h)² + k

where y is the monthly revenue, x is the price that Jordan sets for all pieces, and (h, k) is the vertex of the parabola. We can find the vertex by using the formula:

h = -b / 2a

where b and a are coefficients in the standard form of the quadratic equation (y = ax² + bx + c).

To get started, we can substitute two points from the given data to form a system of equations:

864 = a(12 - h)² + k

884 = a(13 - h)² + k

When we deduct the first equation from the second, we obtain:

20 = a(13 - h)² - a(12 - h)²

Simplifying, we get:

20 = a(25 - 24h + h²) - a(16 - 24h + h²)

20 = 9a(h² - 1)

Solving for a, we get:

a = 20 / 9(h² - 1)

Next, we can use the third point to solve for h:

896 = a(14 - h)² + k

Substituting the expression we found for a, we get:

896 = 20 / 9(h² - 1)(14 - h)² + k

Simplifying, we get:

h = 13.5

Now we can solve for k by substituting in the values we found for h and a:

864 = a(12 - h)² + k

k = 844.44

Finally, we can write the quadratic model for Jordan's monthly revenue using the values we found for h, k, and a:

y = 20 / 9(x - 13.5)² + 844.44

Therefore, the quadratic model for Jordan's monthly revenue is:

y = 20 / 9(x - 13.5)² + 844.44

Learn more about the vertex form at

https://brainly.com/question/13921516

#SPJ4

The question is -

Jordan sells jewelry online. Monthly revenue varies as a function of the single price that Jordan sets for all pieces. Use vertex form to create a quadratic model for Jordon’s monthly revenue.

Price(s)           12       13      14      15     16

Revenue(s)   864    884   896  900  896

Answer: The total number of students is the sum of the number of students who have vanilla and those who have chocolate:

Total = 25 + (68 - 25) = 43

The ratio of the number of students who have vanilla to the total number of students is:

Vanilla : Total = 25 : 43

This ratio cannot be simplified any further because 25 and 43 do not have any common factors other than 1. Therefore, the ratio of the number of students who have vanilla to the total number of students is:

25 : 43

Step-by-step explanation:

The shipping arrangement which minimizes costs will be 1.5x + 1.2y + 0.8z + 1.1(240 - x - y - z) subject to

x + z + s1 = 160

y + (240 - x - z) + s2 = 90

x - 100 + s3 = 0

y - 140 + s4 = 0

The minimum cost is $372.00.

There will be product left in either warehouse after fulfilling the orders.

Let x be the number of sheets delivered from the north-side warehouse to Customer A,

Let y be the number of sheets delivered from the north-side warehouse to Customer B and z be the number of sheets delivered from the south-side warehouse to Customer A.

Then the objective function to be minimized is:

1.5x + 1.2y + 0.8z + 1.1(240 - x - y - z).

There will be 60 sheets of drywall board left in the north-side warehouse and 70 sheets left in the south-side warehouse after fulfilling the orders.

Learn more about linear programming on

https://brainly.com/question/14309521

#SPJ1

The rule that applies here is the addition rule of probability, which states that the probability of the union of two events A and B is the sum of their individual probabilities minus the probability of their intersection

The probability of choosing a red card or a king from a deck of 52 cards is 8/52 or 2/13. To calculate this, we first need to determine the number of cards that are either red or a king. There are 26 red cards in a deck of 52 cards, so the probability of choosing a red card is 26/52 or 1/2. There are four kings in a deck of 52 cards, so the probability of choosing a king is 4/52 or 1/13.

However, we need to be careful to avoid counting the red kings (two of which exist in a deck of 52 cards) twice. To account for this, we subtract the probability of choosing a red king from the sum of the probabilities of choosing a red card and a king. The probability of choosing a red king is 2/52 or 1/26, so the probability of choosing a red card or a king is:

P(red card or king) = P(red card) + P(king) - P(red king)
P(red card or king) = 26/52 + 4/52 - 2/52
P(red card or king) = 28/52
P(red card or king) = 2/13

The rule that applies here is the addition rule of probability, which states that the probability of the union of two events A and B is the sum of their individual probabilities minus the probability of their intersection (i.e., the probability that they occur jointly).

See more about probability at: https://brainly.com/question/24756209

#SPJ11

Statement d is also correct because it means the same thing as statement b, just using different phrasing.

It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equal sign (=). The equation represents a relationship between the expressions on both sides, indicating that they have the same value.

The two correct statements that describe the equation y = 4 × 18 are:

b. The value of y is 4 times as many as 18.

d. The value of y is 4 times as much as 18.

Statement b is correct because the equation y = 4 × 18 means that y is equal to 4 times the value of 18, or y = 4 × 18 = 72.

Statement d is also correct because it means the same thing as statement b, just using different phrasing. "As much as" and "many as" are interchangeable in this context, and both mean "multiplied by."

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ1

Step-by-step explanation:

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle.

176 ft

You want to make a scale drawing of your bedroom to help arrange your furniture. You decide on a scale of 3 in. = 2 ft. Your bedroom is a 12 ft by 14 ft rectangle. What should the dimensions of your drawing be?

18 in. by 21 in.

If 5/y + 7/x=24 and 12/y + 2/x=24, find the ratio of x to y.

5/7

Simplify the ratio 8ft/12in. Use the conversion 12 in. = 1 ft.

8/1

Analyze the proportion below and complete the instructions that follow.

2x+5/3 = x-5/4

-7

If a+b/2a-b = 5/4 and b/a+9 = 5/9, find the value of b.

30

Analyze the ratio below and complete the instructions that follow.

$30:$6

Simplify the ratio.

5:1

If 14/3 = x/y then 14/x =

3/y

Analyze the diagram below and complete the instructions that follow.

In the diagram, AB:BC is 3:4 and AC = 42. Find BC.

24

Analyze the diagram below and complete the instructions that follow.

If AB:BC is 3:11, solve for x.

9

If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, which of the following is false?

b/a = c/d

Analyze the diagram below and complete the instructions that follow.

Find the ratio of the width to the length of the rectangle, then simplify the ratio. Use the conversion 100 cm = 1 m.

3/4

Simplify the ratio 3 gal./24 qt. Use the conversion 4 qt = 1 gal.

1/2

The area of a rectangle is 4,320 ft2. The ratio of the length to the width is 6:5. Find the length of the rectangle.

72 ft

Analyze the diagram below and complete the instructions that follow.

Given that CB/CA = DE/DF, find BA.

10.5

Analyze the proportion below and complete the instructions that follow.

2/3 = 8/x

3, 8

Analyze the diagram below and complete the instructions that follow.

Are the polygons shown here similar? Justify your answer. The images are not drawn to scale.

Yes, PQR ~TSV with a scale factor of 1:√3

All __________ are similar.

squares

Analyze the diagram below and complete the instructions that follow.

Determine which 2 triangles are similar to each other. The images are not drawn to scale.

GHI ~ JKL

Analyze the diagram below and complete the instructions that follow.

Pentagon PQRST ~ pentagon XYZVW. Find the value of b. The images are not drawn to scale.

3

Analyze the diagram below and complete the instructions that follow.

If ABC ~ XYZ, find XY. The images are not drawn to scale.

24

ABC is a right triangle. The legs of ABC are 9 ft and 12 ft. The shortest side of XYZ is 13.5 ft, and ABC ~ XYZ How long is the hypotenuse of XYZ?

22.5 ft

Answer:

The roots are

[tex]x=-2+\dfrac{3}{2} \ i \ \ or \ \ x=-2-\dfrac{3}{2} \ i[/tex]

Step-by-step explanation:

4x² + 16x + 25 = 0

Using the quadratic formula

That's

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

From the question

a = 4 , b = 16 , c = 25

Substitute the values into the above formula and solve

We have

[tex]x=\dfrac{-16\pm\sqrt{16^2-4(4)(25)} }{2(4)}[/tex]

[tex]x=\dfrac{-16\pm\sqrt{256-400} }{8}[/tex]

[tex]x=\dfrac{-16\pm\sqrt{-144} }{8}[/tex]

[tex]x=\dfrac{-16\pm12 \ i}{8}[/tex]

Separate the real and imaginary parts

That's

[tex]x=\dfrac{-16}{8}\pm\dfrac{12}{8} \ i[/tex]

[tex]x=-2\pm\dfrac{3}{2} \ i[/tex]

We have the final answer as

[tex]x=-2+\dfrac{3}{2} \ i \ \ or \ \ x=-2-\dfrac{3}{2} \ i[/tex]

Hope this helps you