Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5) C. (5, 2)

Answers

Answer 1

Answer:

A. (2, 5)

Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

[tex]P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y)[/tex] (Eq. 1)

If we know that [tex]B(x,y) = (2,8)[/tex] and [tex]B'(x,y) = (2,2)[/tex], then the location of P is:

[tex]P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)[/tex]

[tex]P(x,y) = (1, 4)+(1,1)[/tex]

[tex]P(x,y) = (2, 5)[/tex]

Which corresponds to option A.


Related Questions

PLEASE HELP ASAP
IT'S AN EMERGENCY ​

Answers

Answer:SSS

Step-by-step explanation:

plz help and ty very much​

Answers

Answer:

True

Step-by-step explanation:

For a compound inequality using the word "or" to be true, all you need is for one of the parts to be true.

-6 < 7 is true

-2 <= -2 is also true

Answer: True

One case of books weighs 34 pounds. One case of magazines weighs 25 pounds. A book store wants to ship 73 cases of books and 91 cases of magazines to another store. What is the total weight of the shipment?

Answers

Answer:

4,757 pounds

Step-by-step explanation:

One case book weighs 34 pounds

One case of magazines weigh 25 pounds

A book store wants to ship 73 cases of book 91 cases of magazines

Therefore the total weight of the shipment can be calculated as follows

= 34×73 + 25×91

= 2482 + 2275

= 4,757

Hence the total weight of the shipment is 4,757 pounds

how to find the area figure of square inches​

Answers

It is length times width in^3

thanks who ever helped ​

Answers

Answer:

60 × 50 = 3000

7 × 50 = 350

60 × 4 = 240

7 × 4 = 28

3000 + 350 + 240 + 28 =3618

54 × 67 = 3618

5/8 + 3/4
_________
-2/3 - 5/6


What does it equal? Please solve.

Answers

Add the two top fractions and you’ll get 11/8. Calculate the difference. Then simplify to get 11/12

Answer : 11/12

What is the slope of the line below?

(2,4)
(-4,-2)


A. zero
B. negative
C. undefined
D. positive

Answers

Answer: d. positive.

Step-by-step explanation: the graph shows a line that is increasing.

Solve graphically, 2x^2+2x-4=0

Answers

The answer is in the picture below !

Evaluate
4x4+ (2x3)x 9+11+1

Answers

Answer:

82

Step-by-step explanation:

calculator

Choose all pairs of points that are reflections of each other across both axes.
A. (–4 1/2, 1) and (–1, 4 1/2)
B. (2.5, –1) and (–2 1/2, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 2 1/4)
E. (–2, 2 1/3) and (2, 2 1/3)

Answers

Answer:

c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?

Answers

Answer:

about 37.31 inches of space

Step-by-step explanation:

In this case, you would need to find the area of a cylinder with these dimensions.

Formula: 2πrh+2πr²

The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.

2π(1.25)(3.5)+2π(1.25)²

2π4.375+2π1.5625

8.75π+3.125π

37.3064128

about 37.31 inches of space

What is the area of quadrilateral WXYZ?

Answers

Answer:

[tex]Area = 105[/tex]

Step-by-step explanation:

Given

[tex]W = (-5,4)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]X = (3,4)[/tex] ------ [tex](x_2,y_2)[/tex]

[tex]Y = (6,-6)[/tex] ----- [tex](x_3,y_3)[/tex]

[tex]Z = (-7,-6)[/tex] ---- [tex](x_4,y_4)[/tex]

Required

Determine the area;

Area is calculated as thus:

[tex]Area = \frac{1}{2}[(x_1.y_2 +x_2.y_3 + x_3.y_4 + x_4.y_1)-(x_2.y_1 +x_3.y_2 + x_4.y_3 + x_1.y_4)][/tex]

Substitute values

[tex]Area = \frac{1}{2}[(-5*4 +3*-6 + 6*-6 + -7*4)-(3*4 +6*4 + -7*-6 + -5*-6)][/tex]

[tex]Area = \frac{1}{2}[(-102)-(108)][/tex]

[tex]Area = \frac{1}{2}[-102-108][/tex]

[tex]Area = \frac{1}{2}[-210][/tex]

[tex]Area = -105[/tex]

[tex]Area = 105[/tex]

None of the options answer the question:

Peach Produces pays its employees by the formula of P(b) = 5/2b + 45 ,where p(b) is the employee's total pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?

A. $2.50
B. $5.00
C. $2.00
D. $45.00

Answers

Answer:

The rate is $2.5

Step-by-step explanation:

Given that the expression for the pay of employee is given as

P(b) = 5/2b + 45

we can simplify the fraction and write it as decimal as

P(b) = 2.5b + 45

This means that the employees have a fixed pay of $45

and also a rate of $2.5 per peaches picked

therefore the answer is A. $2.5

The rate is $2.5

Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500

Answers

Answer:

The median monthly sales goal is $30000

Step-by-step explanation:

Monthly Sales Goals (in thousands)

Stem Leaf

1 8 9

2 5 6 6 8

3 2 3 3 6 9

4 0

Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40

n = 12(even)

[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]

[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]

So, The median monthly sales goal is $30000

So, Option C is true

Please help me!!! URGENT!!!!
Look at the image!!!!

Answers

Answer:

It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.

Step-by-step explanation:

The answer is A hehehhe

Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?

Answers

Answer:

[tex]\angle ABD =42.4^{\circ}[/tex]

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

[tex]\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)[/tex]

Since we are given that ∠ABC ≅ ∠CBD

So, [tex]\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3[/tex]

[tex]\angle CBD = (4x)=4(5.3)=21.2^{\circ}[/tex]

[tex]\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}[/tex]

Hence [tex]\angle ABD =42.4^{\circ}[/tex]

A cereal company estimates that its monthly cost is
C(x) = 400x2 + 300x and its monthly revenue is
R(x) = -0.6x3 + 900x2 – 400x + 700, where x is in thousands of
boxes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?

Answers

Answer:

P(x)= -0.6x^3 + 500x^2  

Step-by-step explanation:

given data

monthly cost

C(x) = 400x^2 + 300x

revenue is

R(x) = -0.6x^3 + 900x^2 – 400x + 700,

where x is in thousands of boxes sold.

we know that the profit is the difference between the revenue and the cost.

therefore P(x)=R(x)-C(x)

P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )

P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x

P(x)= -0.6x^3 + 500x^2  

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.

Answers

Answer:

The 90% confidence interval is   [tex]15.66< \mu < 15.94 [/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma = 2.2[/tex]

  The  sample mean is  [tex]\= x = 15.8 \ gallon[/tex]

   The sample size is  n  =  669

   

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.645  *  \frac{ 2.2}{\sqrt{669} }[/tex]

=>  [tex]E = 0.1399[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]15.8  - 0.1399 <\mu<  15.8  + 0.1399 [/tex]

=>    [tex]15.66< \mu < 15.94 [/tex]

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.

Answers

Answer:

28.9

Step-by-step explanation:

tan (18) = 9.4/x times x

x times tan(18) = 9.4 / tan(18)

            tan(18)

        crosses out.

On a calculator do 9.4/

                             tan(18).

x = 28.9

         

What are decimals? (And their place values.)

Answers

Answer:

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

hope that helps!

Answer:

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place.

Step-by-step explanation:

I will give brainliest! 2(6x+3)

Answers

Answer: 12x+6

Step-by-step explanation:

distributive property

Answer:

=12x + 6

Step-by-step explanation:

A veterinarian interested in studying the causes of enteroliths in horses suspects that a diet high in alfalfa may be a cause. The veterinarian decides to use the following design: identify 30 horses at high risk for enteroliths and divide them into groups 10 groups of 3 horses. Some groups consisted of horses in barn stalls, some groups consisted of horses in outdoor paddocks, and some groups consisted of horses in pasture. Within each group one horse is randomly assigned to an alfalfa diet, one is assigned to a grass hay diet, and one horse is fed oat hay. When a horse is in pasture all the other horses in pasture will also receive the diet of the study horse. Therefore, only one horse could be selected from the same pasture. This study has:

Answers

Answer:

Randomized block design

Step-by-step explanation:

A randomized block design is essentially an experimental design where the units of the experiment are in groups which are called blocks. Now, treatments are usually randomly allocated to the units of experiment inside each block and when all the treatments appear a minimum of one time in each block, we can conclude that we have achieved a completely randomized block design.

Now, in the question we see that the experimental units which is the "30 horses at high risk for enteroliths" are divided into 3 groups. We can call these groups blocks. Now we see that further treatments such as alfalfa diet, grass hay diet and oat hay diet are assigned to different horses each within those groups/blocks.

Now, this description fits the definition of a randomized block design given above.

Thus, the study is a randomized block design

Graph the system. Tell whether the system hlas no solution, one solution, or infinitely many solutions.
y = 4.2 – 3
y + 3 = 40

Answers

no solution. this is because the equations are bot equal
to each other. and cannot become equal

If you pls help lol I only have 52 mins left

Answers

Step-by-step explanation:

[tex]2y + 106 = 180[/tex]

[tex]y = 106 \div 2 = 53[/tex]

[tex]y = 53[/tex]

[tex]4z + 16 = 180[/tex]

[tex]4z = 180 - 16[/tex]

[tex]z = 164 \div 4 = 41[/tex]

and the answer for x is 106

what is the slope intercept form of 7,-1 5,6

Answers

Answer:

[tex]y = - \frac{7}{2} x + \frac{47}{2}[/tex]

What is the slope of the line represented by
y – 3 = 4(x + 7)?

Answers

Answer: 4

Step-by-step explanation:

The following equation represents the total price of hot dogs, p=3.25h. How many hot dogs can you buy with $32.00? Hint: Be sure to round appropriately for the situation.

A. 8
B. 9
C. 10
D. 11
E. 104

Answers

Answer:

Appropriately 10 hot dogs

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPP

Answers

X = 100 degrees

This is because the straight angle equals 180 degrees in total so to find the value of x you write the following equation

X + X -20 = 180 degrees
2x -20 = 180 degrees
+20 +20
2x = 200
Divide by 2 on both sides
X = 100

Calcula la circunferencia y el círculo con estos datos Radio: 8 cm. CF= ?

Answers

Answer:

50.27

Step-by-step explanation:

PLEASE HELP(look at picture)!

Answers

Answer:

see the picture there is the answer

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