Show that the 4 points form a square. A. DA = AB = BC =CD = √32 DB = AC =8 B. DA = AB = BC = CD = √32 C. DB = AC =8 D. DA = AB = BC = CD = √7 DB = AC = 8​

Answers

Answer 1

Finding the distances between the 4 consecutive points, using the formula, all will be equal, hence the points will form a square.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, four consecutive points will be given in the cartesian plan, and their distances should be calculated. If they are equal, these points will form a square.

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Related Questions

What fraction of this shape is shaded?
Time
Running
Give your answer in its simplest form.

Answers

15% it’s running
That’s all I’m aware of

If the cost of 5m of cloth is Rs 375,find the cost of 80m of cloth​

Answers

Step-by-step explanation:

If the cost of 5m cloth is Rs.375

Then cost of 80m cloth is (80m× Rs 375)÷ 5m

then the cost of  is 6000 Rs. you can use the criss cross method

5m = 375 Rs

80m = ?

80 × 375 = (30,000) ÷5

?= 6000

A boat is heading towards a lighthouse, whose beacon-light is 148 feet above
the water. The boat's crew measures the angle of elevation to the beacon, 8°.
What is the ship's horizontal distance from the lighthouse (and the shore)?
Round your answer to the nearest hundredth of a foot if necessary.
Answer:
feet
Submit Answer
attempt 1 out of 2 / problem 2 out of max 4

Answers

Answer:

x = 1053.07 ft

Step-by-step explanation:

So if you look at the diagram I drew it might become a bit more apparent what you have to do. For this problem you'll need to use one of the six trigonometric functions. In this case you know the angle and the opposite side of the angle, and you need the adjacent side. The trigonometric function tan is defined as [tex]\frac{oppposite}{adjacent}[/tex]. So let's plug in the known values:

[tex]tan(8) = \frac{148}{x}[/tex]

multiply both sides by x

[tex]tan(8) * x = 148[/tex]

Divide both sides by tan(8)

[tex]x=\frac{148}{tan(8)}[/tex]

Calculating tan of 8 degrees using a calculator

[tex]x=\frac{148}{0.141}[/tex]

Simplify

x = 1053.07 ft

!!HELP!! PLEASE I NEED THIS DONE IN AN HOUR IF ANYONE CAN HELP

Answers

Answer:

 the 1st answer is x = 5, the 2nd answer is x = 7, the 3rd answer is x = 4, the 4th answer is: x = 4, the 5th answer is the exact form: x = - 1/3 but the decimal form is: x = - 0.3, the 6th answer is x = 3.

Brainliest?

if anyone knows how to answer this do so pleass

Answers

Answer:

x = 4.08

Step-by-step explanation:

As we now, from Trigonometric Identities

that   [tex]tan(\alpha )=\frac{Opposite}{Adjacent}[/tex]

So for our Problem , [tex]\alpha =27[/tex]  , [tex]Opposite=x[/tex]  ,  [tex]Adjacent = 8[/tex]

by substituting , then  [tex]tan(27)=\frac{x}{8}[/tex]

by multiplying both sides by 8 , then [tex]x=8tan(27)=4.0762=4.08[/tex]

The price of an item has been reduced by 85%. The original price was $33.

Answers

Answer:

4.95

Step-by-step explanation:

85% of 33 = 28.5

33 - 28.5 = 4.5

Simplify the expression: 2 * | 12 - 14 | =

Answers

[tex]2 \times |12-14|=2 \times |-2| =2\times 2=\boxed{4}[/tex]

i’m pretty sure it’s 4

Word problem involving conversion between compound units...
A business based in South Africa pays a consultant in the U.S. 1,570,000 rand per year. Assume that the conversion is 1 rand to 0.074 dollars. What is the
consultant's salary in dollars per month?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side o
the equation.
Ratios:
1 rand
0.074 dollars
1,570,000 rand
1 yr
0.074 dollars
1 rand
1 yr
12 mo
0
0

I need help with this math problem.

Answers

Using proportions, it is found that the consultant's salary in dollars per month is of $9,681.67.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

A business based in South Africa pays a consultant in the U.S. 1,570,000 rand per year. Considering the conversion rate, his salary in dollars per year is given as follows:

S = 1570000 x 0.074 = $116,180.

Since a year has 12 months, his salary in dollars per month is given by:

Sm = $116,180/12 = $9,681.67.

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Select the correct answer.

Here's another plant stand. It has 2 rows, each holding 4 plants. Suppose this plant stand is turned upright.

Choose the number sentence that represents the plants on the upright plant stand.

8 × 1 = 8
4 × 2 = 8
2 × 2 = 4
4 × 4 = 16

Answers

The number sentence that gives the best representation of the plants on the upright stand is 8 × 1 = 8.

How to solve for the plant on the upright stand.

Given that the plant is said to be upright, then the number of row would be seen as 1.

The rows of the plants are made up of 2 and the plants in them are said to be 4. Hence we would have 4 x 2 = 8

From here we would conclude that 8 × 1 = 8 is the plants on the upright stand.

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The data below represents the relationship between the number of incidences of UFO sightings in late 1930s and early 1940s. Draw a scatter plot for the data.
Year of Incidence
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
Number of Incidences (percent)
0.9
0.8
0.8
1.3
1.4
1.2
1.7
1.8
1.6
1.5
1.5

a.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).
c.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5).
b.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 1.7), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).
d.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).

Answers

The description of graph of the data about relationship of UFO sightings in late 1930s and early 1940s will be :A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).

Given:

Year of incidence                    percent

1936                                         0.9

1937                                         0.8

1938                                          0.8

1939                                          1.3

1940                                           1.4

1941                                            1.2

1942                                            1.7

1943                                             1.8

1944                                              1.6

1945                                              1.5

1946                                              1.5

We have been given the percentages of different years. The points will be (1936,0.9) , (1937,0.8) , (1938,0.8) , (1939,1.3) , (1940,1.4) , (1941,1.2) , (1942,1.7), (1943,1.8) , (1944,1.6) , (1945,1.5) , (1946,1.5).

We have to just plot the points on the graph to find scatter plot. It is called scatter plot as the points are not in line but they are scattered.

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Find data on the increase in consumer credit card debt in the U.S.A. Based on your findings, do you think the extent of the consumer debt is (a) a crisis, (b) a significant occurrence but nothing to worry about or (c)a good thing?

Justify your conclusion.

Answers

Increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.

What is Consumer Credit Card Debt ?

It is the debt which has been accumulated due to the consumers buying products and services out of the credit card and not paying them back in the period of 90 days.

In USA , the credit card balance is $841 billion in the first quarter of 2022 , which is $15 billion less form the last year but at a significant peak.

This extent of the consumer debt is a debt crisis.

The debt on the bank increases as the debt on the consumer increases , causing in bank recession and a recession brings harm to the economy , It is a crisis situation and need to be handled before it affects the market.

Therefore increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.

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using this diagram, find x and y

Answers

Answer:

x=13

y=11

Step-by-step explanation:

3y+5+52=90

3y=90-57

3y=33

y=33/3=11

4x=52

x=52/4=13

3y+5 and 52 are complementary

3y+5+52=903y+57=903(y+19)=90y+19=30y=11

Apply angle sum property

4x+3(11)+5+90=1804x+33+5=904x+38=904x=52x=13

The volume of a fish tank is 50 cubic feet. if the density is 0.2 fish over feet cubed, how many fish are in the tank? 5 10 125 250

Answers

Answer: 10

Step-by-step explanation:

I just took the test!! :)

Do you know the answer to 8+(10-4)-3*2 and how to solve it?

Answers

Answer:

8

Step-by-step explanation:

10 minus 4 goes first because of BODMAS so thats 6

then 3 times 2 because again bodmas to thats 6

so then its 8 + 6 - 6

can be done in any order not affected by bodmas

6-6 cancels out so the answer is 8

comment if you want an in depth explanation on bodmas lol

Take into account of PEMDAS. So in the equation 8+(10-4)-3*2, you would do 10-4 which gives you 6. Then, do 3*2 which is also 6. Now, since you see a 6-6, you can cancel them both out since 6-6 is 0. The only number remaining is 8, your answer. Hope this helps.

Given: -2x^(2)-3x+4=0, use the quadratic formula to solve for the roots

Answers

The roots of the quadratic equations are -4 and -1

How to determine the roots

-2x^(2)-3x+4=0

Expand the equation first

[tex]-2(x^2 - 3x + 4) = 0[/tex]

Find two factor that are multiples of -8 and sum up to give -3, the facors are -4 and -1

Replace -3x with 4x and -x

[tex]-2(x^2 -4x + x + 4) = 0[/tex]

Factorize the equation

[tex]-2 (x (x + 4) + 1 (x + 4)[/tex]

We have

2(x + 1) = 0 and 2(x+ 4) = 0

2(x + 1) = 0

2x + 2 = 0

x = -1

2(x+ 4) = 0

2x + 8 = 0

x = -8/2

x = -4

Therefore, the roots of the quadratic equations are -4 and -1

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En la feria el juego de gusano da 5 vueltas y equivale a 150 metros, calcula a cuento equivale lo siguiente: 8/4 de vuelta =_____3 4/6 de vuelta =_____1 4/6 de vuelta= _____3/4 de vuelta= ___4/6 de vuelta= ____7/9 de vuelta =___

Answers

las ecuaciones con fracciones dan:

8/4 de vuelta = 60m(3 + 4/6) de vuelta = 110m4/6 de vuelta = 20m3/4 de vuelta = 22.5m7/9 de vuelta= 23.33 m

¿Cuanto vale cada una de las expresiones?

Sabemos que 5 vueltas es igual a 150 metros, entonces cada vuelta es equivalente a:

v = 150m/5 = 30m

Es decir, cada vuelta equivale a 30 metros.

Ahora simplemente podemos resolver las ecuaciones con fracciones:

8/4 de vuelta = (8/4)*30m = 60m(3 + 4/6) de vuelta = (3 + 4/6)*30m = 110m4/6 de vuelta = (4/6)*30m = 20m3/4 de vuelta = (3/4)*30m = 22.5m7/9 de vuelta = (7/9)*30m = 23.33 m

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If 12 +22+ 32 +
+ 5122
= m, then 22 +42 +62+ 10242 is
equal to:
4m
2m
3m
M2
M4

Answers

Answer:

m2

Step-by-step explanation:

the 2nd equation is double the first one and the first one is 1

Use the function below to find F(-4)
F(x) = 2^x

Answers

Answer:

1/16

Step-by-step explanation:

F(-4) = 2^-4

= 1/(2^4) = 1/16

pls help! i need an explanation and the steps that show how it’s solved too. tysm!

Answers

Answer:

true

Step-by-step explanation:

6(6(13x-2)

36(13x-2)

468x-72

please mark brainliest :D

Answer:

True

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=3x-7\\g(x)=13x-2\\h(x)=6x\end{cases}[/tex]

[tex]h(h(g(x)))[/tex] is a composite function.  

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function means to substitute the function g(x) in place of the x in function h(x), then substitute this in place of the x in function h(x).

Step 1

Substitute the function g(x) in place of the x in function h(x):

[tex]\begin{aligned}h(x) & = 6x\\\implies h(g(x)) & =6(g(x))\\& = 6(13x-2)\\ & = 78x-12\\\end{aligned}[/tex]

Step 2

Now substitute the above in place of the x in function h(x):

[tex]\begin{aligned}h(x) & = 6x\\\implies h \left(h(g(x))\right) & =6(h(g(x)))\\& = 6(78x-12)\\& = 468x-72\end{aligned}[/tex]

Therefore, the statement is true.

To carry out the composite function in one step:

[tex]\begin{aligned}h(x) &=6x\\\implies h(h(g(x))) & = 6\:(h(g(x)))\\& = 6(6(g(x)))\\& = 6( 6(13x-2))\\& = 6(78x-12)\\& = 468x-72\end{aligned}[/tex]

Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the equation Vh=500(1.025)^t , where Vh is the value of the account after t years. Andres begins a savings account three years later with the same initial amount of money at the same interest rate. Which equations represent the value of Andres’s account after t years?
A) Va=500(1.025)^t-3 and Va=464.30(1.025)^t
B) Va=500(1.025)^t+3 and Va=538.45(1.025)^t
C)Va=500(1.025)^t-3 and Va=538.45(1.025)^t
D)Va=500(1.025)^t+3 and Va=464.30(1.025)^t

Answers

The exponential function that represents the value of Andres’s account after t years is:

A) Va=500(1.025)^t-3 and Va=464.30(1.025)^t

What is the equation for the value of Andres's account?

For Henry, it is given by:

[tex]Vh = 500(1.025)^t[/tex]

Andres starts 3 years later than Henry, hence the equation is:

[tex]Va = 500(1.025)^{t - 3}[/tex]

Applying an exponential simplification, we have that:

[tex]Va = 500\frac{1.025^t}{1.025^3} = 464.3(1.025)^t[/tex]

Hence option A is correct.

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QUESTION 4
.
1 POINT
The sum of eight times a number and four is ninety-two. Find the number.
Provide your answer below:

Answers

Answer:

The missing number is 11

Step-by-step explanation:

Step-by-step explanation:

x is the number

8x + 4 = 92 (8 times the number plus 4 is 92).

8x = 88

x = 11

the number is 11.

The current salaries in Sasha’s department are $42,000, $32,000, $33,000, $38,000, and $50,000. Sasha wants to adjust the lowest salary up to $40,000. If Sasha gives every employee a $1,000 raise in addition to adjusting the lowest salary, Find the total cost for the increment?

Answers

The total cost for the increment is $13,000.

What is the total cost for the increment?

There are 5 employee's in Sasha's department. The total amount of increment is $5000. (5 x $1000).

The lowest salary is 32,000. If it is increased to $40,000. The total cost of the increment is $8000 (40,000 - 32,000)

Total cost of the increment = $8000 + $5000 = $13,000

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The area of the parallelogram below is ____ square meters. A parallelogram with height labeled with 7 meters. The top horizontal side is labeled 6 meters. The base of the left triangle formed by the height is 2 meters. Numerical Answers Expected

Answers

The area of the parallelogram in the image given is: 42 m².

What is the Area of a Parallelogram?

Area of a parallelogram = base × height

Given the parameters:

Base = 6 metersHeight = 7 meters

Area of the parallelogram = (6)(7)

Area of the parallelogram = 42 m²

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Which table matches the graph below

Answers

The table that matches the graph shown is the second table.

How to depict the table?

It should be noted that in the graph, there's a quadratic equation. The form is given as ax² + bx + c.

When x = 0, y = 2. When x = 1, y is a number between 3 and 4. In the second table x we have y(1) = 7/2. This is in the range.

The graph is attached.

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Find the coordinates of the circumcenter of DEF.

11. D (6,0), E (0,6), F (-6,0)
12. D (0,0) E (6,0), F (0,4)

Answers

The coordinates of the circumcenter of triangle DEF with the given vertices are (0, 0).The coordinates of the circumcenter of triangle DEF with the given vertices are (-1/3, 3).

How to determine the coordinates?

In order to determine the coordinates of the circumcenter of triangle DEF with the given vertices, let its circumcenter be P(x, y). Hence, PD = PE = PF.

By squaring all sides of triangle DEF, we have:

PD² = PE² = PF²

From PD² = PE², we have:

(x - 6)² + (y - 0)² = (x - 0)² + (y - 6)²

x² - 12x + 36 + y² = x² + y² - 12y + 36

-12x + 12y = 0    ..........equation 1.

From PE² = PF², we have:

(x - 0)² + (y - 6)² = (x - (-6))² + (y - 0)²

x² + y² - 12y + 36 = (x + 6)² + y²

x² + y² - 12y + 36 = x² + 12x + 36 + y²

-12x - 12y = 0     ..........equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

x = 0 and y = 0.

Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (0, 0).

At D (0,0) E (6,0), F (0,4).

From PD² = PE², we have:

(x - 0)² + (y - 0)² = (x - 6)² + (y - 0)²

x² + y² = x² - 12y + 36 + y²

12y = 36    

y = 3.

From PE² = PF², we have:

(x - 6)² + (y - 0)² = (x - 0)² + (y - 4)²

x² - 12x + 36 + y² = x² + y² - 8y + 16

-12x - 8y = -20    

-12x - 8(3) = -20

-12x - 24 = -20

12x = -4

x = -1/3.

Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (-1/3, 3).

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A landscaping company is hired to mow the grass for several large properties. The total area of the properties combined is 1,345 acres. The rate at which one person can mow is as follows:

ŷ = 1350 – 1.2x where x is the number of hours and ŷ represents the number of acres left to mow.

How many acres will be left to mow after 20 hours of work?
How many acres will be left to mow after 100 hours of work?
How many hours will it take to mow all of the lawns? (When is ŷ = 0?)

Answers

Using the given linear function, we have that:

After 20 hours, 1326 acres will be left to mow.After 100 hours, 1230 acres will be left to mow.It will take 1125 hours to mow all the lawns.

What is the linear function?


The linear function for the number of acres left to mow after x hours is given as follows:

y  = 1350 - 1.2x.

After 20 hours, the number acres is given as follows:

y  = 1350 - 1.2(20) = 1326.

After 100 hours, the number acres is given as follows:

y  = 1350 - 1.2(100) = 1230.

The time it takes to mow all the lawns is given by:

1350 - 1.2x = 0.

1.2x = 1350

x = 1350/1.2

x = 1125 hours

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A rectangular sheet of metal has a perimeter of 82 inches. Its area is 348 square inches. What are the dimensions of the sheet?

Answers

The area of a 2D form is the amount of space within its perimeter. The length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the width of the sheet be represented by x and the length be represented by y.

Area = x × y

348 = xy

x = 348/y

Perimeter = 2(x+y)

82 = 2(x+y)

41 = x + y

41 = (348/y) + y

0 = y² - 41y + 348

y = 29, 12

Therefore, the length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

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What is the value of x if e³x+6 - 87

Answers

The value of the x if e3*6 - 87 equals e3x - 81

the cost c(x) for a taxi ride is given by c(x) =2x + 3.00, where x is the number of minutes. on a piece of paper graph c(x) =2x + 3.00. then determine which answer matches the graph you drew, including the correct axis

Answers

A function assigns the values. The correct option is D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The complete options of the question are mentioned in the below image.

The cost  cost c(x) for a taxi ride is given by c(x) =2x + 3.00, where x is the number of minutes. Therefore, the graph of the equation can be drawn as shown below.

Hence, the correct option is D.

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You are 22 years old and are starting a savings plan and will deposit $200 every 2 months until you retire. The account will give you 7% interest. How much do you expect your account to be worth when you retire at 67 years old?

Answers

Answer:

Formulae can be searched for confirmation : compounding interest with regular payments

Step-by-step explanation:

Calculations do it by yourself

Answer:

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4. Every morning we begin our day with a cup of tea which is made up of different components. Identify the process involved and mention its significance. How much did Chevron pay in cash dividends to common shareholders during the first nine months of 2013? How should you approach a dock when the wind or current is pushing you toward the dock?. A stack of 100 nickels has a height of 6.25 inches. What is the value, in dollars, of an 8-foot stack of nickels Identify and explain at least three common diseases that affect the cardiovascular system?. what are food habits influenced by Oder the following expressions NEED HELP WITH 9 and 10 for brainlest answer!! melissa worked 7 hours and 40 minutes last monday. she makes 16 dollars and hour.how much did she make for those hours she worked on that day? How did American settlersspread in the easternpart of the thirteen coloniesand, after 1776, in the United States. Which sentence contains a metaphor? A. If we all knew more about badgers, we'd appreciate their role in nature.B. The badger shook and snarled as if he were a grumpy old man.C. Not every badger is a vicious, snarling menace, just the angry ones.D. The badger's babies are little puffy balls of fluff with a few teeth thrown in. URGENT!!!A solution of 51% fertilizer is to be mixed with a solution of 26% fertilizer to form 250 liters of a 50% solution. How many liters of the 51% solution must be used? Jenny likes to paint. she estimates the number of paintings she completes using the function p of w equals one half times w plus one, where w is the number of weeks she spends painting. the function j(y) represents how many weeks per year she spends painting. which composite function would represent how many paintings jenny completes in a year? Find the equation of a straight line which passes through the point (3, 2) and is perpendicular to the line 3x + 5y =10. Hence, determine the gradient and y-intercept of the equation. plss helpp its due tmr and i dont really get ittt Select the correct answer.A historian publishes a paper on the ancient Greek leader Alexander the Great. However, most scholars reject his paper on the basis that the research is not reliable. Which factor could have led to this conclusion?A. The historian chose a subject that was unpopular among other scholars.B. The paper credited too many sources by renowned historians.C. The paper showed signs of bias and lacked proper citations.D. The historian taught history at a prestigious but small university.E. The historian regularly maintained personal historical blogs. How many formula units are in 239.2g of Br2MgCl2H2OFe The function g(x) = 10x2 100x + 213 written in vertex form is g(x) 10(* - 5)2 - 37. Which statements are trueabout g(x)? Select three options.The axis of symmetry is the line x = -5.The vertex of thegraph is (5, -37).The parabola has a minimum.The parabola opens up..The value of a, when the equation is written in vertex form, is negative. James needs to mix a 10% acid solution with a 50% acid solution to create 100 milliliters of a 26% solution. How many milliliters of each solution must James use?James must mix _____ milliliters of 10% solution and____milliliters of 50% solution. In a republic, elected officials create laws to regulate the economy.a. Tb. F(true or false question)