1.Find the perimeter of the polygon with the given vertices
D(-3, 2), E(4,2), F(4, -3)

The solution to the equation is i , -i , 4i , -4i

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the equation be represented as A

Now , the value of A is

x⁴ + 17x² + 16 = 0   be equation (1)

On simplifying the equation , we get

Substitute the value of x² = u

u² + 17u + 16 = 0

The roots of the quadratic equations are

u = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

u = [ -17 ± √ ( 289 - 4 ( 1 ) ( 16 ) ) ] / 2

On further simplification , we get

u = [ -17 ± √ ( 289 - 64 ) ] / 2

u = ( -17 ± √ 225 ) / 2

u = ( -17 ± 15 ) / 2

The two values of u are

u = ( -17 - 15 ) / 2

u = -16

And , u = ( -17 + 15 ) / 2

u = -1

Substitute the value of x² = u , we get

x² = -16

Taking square roots on both sides of the equation , we get

x = ± √ ( -16 )

x = ± 4i

And ,

x² = -1

x = ± i

So , the values of x are i , -i , -4i and 4i

Hence , the equations are solved

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Answer:

saturday ??? right ? i'm not sure

A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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Answer:

Step-by-step explanation: 216

Answer:

q

Step-by-step explanation:

q

Answer:

no B

Step-by-step explanation:

y=mx + b

welcome in advance

Answer:

108π cm^3/min

Step-by-step explanation:

At a time of t min, let the height be h cm

The volume of a cylinder;

V = π r^2 h

  = 36π h

differentiating both sides with respect to t;

dV/dt = 36π dh/dt

but dh/dt = 3 cm/min

dV/dt = 36π(3) = 108π cm^3/min

Answer:

A. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

The fifth postulate of Euclidean geometry is often referred to as the Parallel Postulate.

A. Through a given point not on a given line, there is exactly one line parallel to the given line. This statement is actually the Parallel Postulate, so it is the correct answer.

B. All right angles are equal to one another. This statement is actually the Fourth Postulate, also known as the Right Angle Postulate.

C. Any straight line segment can be extended indefinitely. This statement is the Second Postulate, also known as the Line Extension Postulate.

D. A circle can be drawn with any center and radius. This statement is the Third Postulate, also known as the Circle Postulate.

Therefore, the correct answer is:

A. Through a given point not on a given line, there is exactly one line parallel to the given line.

Answer:

Let

Angle A=x

Angle B=8x

\({:}\longrightarrow\)\(\sf x+8x=90 \)

\({:}\longrightarrow\)\(\sf 9x=90 \)

\({:}\longrightarrow\)\(\sf x={\dfrac {90}{9}}\)

\({:}\longrightarrow\)\(\sf x=10 \)

\(\therefore\) angle A=10°.

Answer:A,C,D

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

The number of adult that paid is 234 and the number of seniors that pad is 60.

A movie theatre charges 11$ for adults and 9$ for seniors. On a particular day when 294 people paid an admission, the total receipts were 3114.

Therefore, let's find how many paid for adult and for seniors.

Let

x = number that paid for adult

y = number that paid for senior

Hence, the situation forms the following equation.

x + y = 294

11x + 9y = 3114

multiply equation(i) by 11

11x + 11y = 3234

11x + 9y = 3114

subtract the equation

2y = 120

y = 120 / 2

y = 60

Let's find x

x = 294 - 60

x = 234

Therefore,

number of adults that paid= 234

number of seniors that paid = 60

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer: C

Step-by-step explanation:

Cause you multiply by the numbers that are shown

Answer:

Step-by-step explanation:

1. The measurement is actual and should be considered as such. Estimate is approximate most of the time.

2. The error is:

3. Percent error:

Answer:

b

Step-by-step explanation:

the styles of different cars are qualitative because it is not given a number, just the different styles.  

Hope this helps

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Length of the missing side. Leave your answer in the simplest radical form b= root of 69 feet

Pythagorean theorem:

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2

The Pythagorean Theorem is tremendously useful. In many realistic scenarios it is possible to measure a and b with ease, but it is often difficult to measure c. For instance, c might pass through a lake or private property or might be up in the air! We'll do a few example puzzles in class together to show you how this works.

Nonetheless, the Pythagorean Theorem still presents a substantial limitation to utility. Specifically, it requires that the angle between a and b is 90 degrees. If the angle is not 90 degrees, the Pythagorean Theorem doesn't help.

This is where the Law of Cosines comes in. The Law of Cosines allows us to find c even when the angle between a and b is not 90 degrees. Check out this applet which illustrates the relationship between a2 and b2 and c2 that also takes into account the angle C (note the angle is capital C to distinguish it from lower case c, the side opposite angle C) between the legs a and b.

Adjust the blue dots in the triangle on the right right side of the screen to see the relationship. At the outset, when angle C is 90 degrees, a2+b2 is exactly equal to c2. However, when you move any of the three vertices of the triangle, note that the equality is not maintained. The problem is that angle C becomes not 90 degrees.

Now ,

a= 10

c= 13

b=?

a2 + b2 = c2

\(10^{2} +b^{2} = 13^{2} \\\\100+ b^{2} = 169\\\\b^{2} = 169-100\\\\b=\sqrt{69}\)

Length of the missing side. Leave your answer in the simplest radical form

b= root of 69 feet

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Answer:

C is the correct answer to your question

Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

Answer:

It would cost $6 per butterfly wing, which multiplied by 13, gives 78.

Step-by-step explanation:

Treat 1 yard of fabric like the fraction 4/4, if this 1 fabric is equal to $8, then 3/4 of the fabric will be $6. That is for one pair of butterfly wings, there's 13 of those so multiply $6 by 13. It's easier this way because we know how much 1 fabric costs, but we don't know what 3/4 of it does, so we treat 1 yard of fabric as the fraction 4/4. This way we can simplify in a relatively easier way.

Answer:

he will need 9.75 yards of fabric i got that from 3/4 x 13= 9.75.

it will cost 78 dollars to buy all the fabric to make the wings. 6x13=78

instead of using 3/4 per butterfly wing we round it to 4/4 that way instead of having to find the price of 3/4 you get the answer and just take 2 dollars for every wing

Step-by-step explanation:

Answer:

5 > \(\sqrt{18\)

Step-by-step explanation:

The square root of 18 is approximately 4.24.

5 is greater than 4.24, so we can use the inequality sign >.

\(~~(3+6i)(2+8i)\\\\=3(2) + 3(8i) + 2(6i)+ (6i)(8i)\\\\=6 + 24i +12i+48i^2\\\\=6+36i-48~~~~~~~~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=-42+36i\)

Answer:

\(\dfrac{11}{8}\)

Step-by-step explanation:

A restaurant served a total of 1/2 of a loaf of wheat bread and 7/8 of a loaf of white bread.

We need to find how many loaves were served in all. It is equal to the sum of the fraction of 1/2 and 7/8.

Sum of these two fractions :

\(\dfrac{1}{2}+\dfrac{7}{8}\\\\=\dfrac{4+7}{8}\\\\=\dfrac{11}{8}\)

So, a total of 11/8 were served in all.

Answer:

28 - 4

Step-by-step explanation:

Answer:

-181 - 79x

Step-by-step explanation:

I am not sure your comment fits the given problem.

I get the following approach and solution :

T(1 + 4x) = 1×a + 4x×b = 2 + 2x

a = 2 + 2x - 4xb

T(4 + 15x) = 4×a + 15x×b = -3 + 3x

4×(2 + 2x - 4xb) + 15xb = -3 + 3x

8 + 8x - 16xb + 15xb = -3 + 3x

11 + 5x - xb = 0

11 + 5x = xb

b = (11 + 5x)/x

a = 2 + 2x - 4x(11 + 5x)/x = 2 + 2x - 44 - 20x = -42 - 18x

T(3 - 5x) = 3×a - 5xb = 3(-42 - 18x) - 5x(11 + 5x)/x =

= -126 - 54x - 55 - 25x = -181 - 79x

control :

T(1 + 4x) = a + 4xb = -42 - 18x + 44 + 20x = 2 + 2x

T(4 + 15x) = 4a + 15xb = -168 - 72x + 165 + 75x = -3 + 3x

Answer:

a

Step-by-step explanation:

rn rn m rn... rn

rn rn rn

rn em rn rnnn

Answer:

Dotted line on (0,4) and shaded upwards.

Step-by-step explanation:

y > 4 means that there is a dotted line on the Y-axis on the number 4. The shading will be done upwards, shading everything greater than 4.

The statement that there are approximately as many boys between 167 and 169 as there are between 169 and 170 is false.

In statistics, understanding and interpreting data is an essential skill. One way to interpret data is by analyzing the distribution of values within a certain range.

To determine whether the statement is true or false, we need to analyze the distribution of boy's heights between the two ranges. Assuming the heights of boys are normally distributed, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the percentage of boys within each range.

The empirical rule states that in a normal distribution:

68% of the values fall within one standard deviation of the mean

95% of the values fall within two standard deviations of the mean

99.7% of the values fall within three standard deviations of the mean

We can use this rule to estimate the percentage of boys within each range as follows:

Between 167 and 169: This range is one standard deviation below the mean. Therefore, approximately 68% of boys' heights fall within this range.

Between 169 and 170: This range is between one and two standard deviations below the mean. Therefore, approximately 27% of boys' heights fall within this range.

Based on this analysis, we can see that there are not approximately as many boys between 167 and 169 as there are between 169 and 170. In fact, there are significantly more boys between 167 and 169 than there are between 169 and 170.

The statement that there are approximately as many boys between 167 and 169 as there are between 169 and 170 is false.

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Based on an 8-percentage reduction, if the family was paying $120 per month for energy, by lowering their thermostat by 2 degrees in the winter, their bill will be $110.40.

The percentage refers to the ratio by which the cost of an item is increased or reduced.

A percentage reduction shows the quotient of the difference between the original value and the new value multiplied by 100.

Original energy bill per month = $120

Percentage reduction = 8%

New value of energy bill = $110.40 ($120 x (1 - 8%)

Thus, the new energy bill per month for the family will be $110.40.

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Answer:

x + 5

Step-by-step explanation:

Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5

I am so sorry if I am wrong!!