Grady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence

Answers

Answer 1

Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).

What is a proportion?

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

The midpoint of a segment is the mean of the coordinates of the endpoints, hence:

[tex]3.5 = \frac{x + 8}{2}[/tex]

x + 8 = 7

x = -1.

[tex]-1 = \frac{y + 5}{2}[/tex]

y + 5 = -2.

y = -7.

The coordinates of the other end of the fence are (-1,-7).

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Related Questions

PLEASE HELP!!! DUE BY THE END OF NIGHT (LOOK AT PICTURE PLEASE)

Answers

Answer: 60%, or D. hope this helps!

Step-by-step explanation:

Add all Blue - 30 + 20 = 50  so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%

Answer:

D. 60%

Step-by-step explanation:

50 total blue candies (20 + 30)

30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%

could someone PLEASE help me with this slope activity? any help would be appreciated, ive been stuck on it for days. this is 10th grade geometry, whoever helps i will gladly give you 5 stars, im just rlly stuck on this

Answers

Answer:

Slope = (y₁-y₂) / (x₁- x₂)JM
y₁ = 1

y₂ = -3

x₁ = 2

x₂ = 2

Slope = ( 1 + 3) / 0 = undefined

JK

y₁ = 1

y₂ = 4

x₁ = 2

x₂ = 5

Slope = ( 1-4) / (2-5) = 1

KL

y₁ = 4

y₂ = 1

x₁ = 5

x₂ = 7

Slope = (4-1) / ( 5-7 ) = -1.5

ML

y₁ = -3

y₂ = 1

x₁ = 2

x₂ = 7

slope = (-3-1) / ( 2-7) = 4/5

Here's the question, please help!

Answers

x=2sinty=3sint

#1

x²/2+y²/3(2sint)²/2+(3sint)²/34sin²t/2+9sim²t/32sin²t+3sim²t5sin²t

False

#2

x²+y²4sin²t+9sin²t13sin²t

False

#3

3x²+2y²3(4sin²t)+2(9sin²t)12sin²+18sin²t30sin²t

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

whats the median number mode and mean for 95, 97, 100, 86, 78, 96

Answers

Answer:

Mean = 92

Median = 95.5

There is no mode.

What is mean, median, and mode?

Mean, median, and mode are terms in math when it comes to looking at charts and sets/groups of numbers.

1. The mean is the average of a data set.

2. The median is the middle of a data set.

3. The mode is the most common number in a data set.

Mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Before we start, let's put the set of numbers in order from least to greatest,

95, 97, 100, 86, 78, 96

78, 86, 95, 96, 97, 100

Now that we have done that let's find the mean,

78 + 86 + 95 + 96 + 97 + 100 = 552

There are 6 numbers in this set so we need to divide 552 by 6,

552 ÷ 6 = 92

92 is the mean/average of this data set,

Now let's find the median,

If we take a look at the data set we can see that there are two numbers in the middle because there are 6 in total,

78, 86, 95, 96, 97, 100

Because there are two values that are in the middle we need to add them up and divide the sum of them by 2,

95 + 96 = 191

191 ÷ 2 = 95.5

95.5 is the median of this data set,

Now let's find the mode,

If we take a look at the date set we can see that none of the numbers are repeated,

So this means there is no mode to this data set,

Therefore the mean is 92, the median is 95.5, and there is no mode.

simplify 8w+12/4 and make it correct

Answers

Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

This question is related to algebraic expression and simplification.

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

PLEASE HELP ASAP!!
Describe the transformations from the parent function, and define the function of the following graph.

Answers

Answer:

-x^2-4x+2

Step-by-step explanation:

(-2,6) (0,2) (2,-4)

How many degress will the hour hand of a well clock move from 1:00am to 4:00am

Answers

Answer:

90

Step-by-step explanation:

each minute on the clock is 6 degrees so 6*5=30= 1 hour

30*3=90 because 3 hours

A window is shaped like a parallelogram
The base of the window is 14.25 inches.
The area is 356.25 square inches. What
is the height of the window?

Answers

Answer:

Do the area divided by the base on a calculator for the answer

Answer:

Height of the window= 25 inches

Step-by-step explanation:

Area of a parallelogram : base * height (of the side taken as base)

so height = area/base =  356.25/14.25 = 25 inches

Which expression calculates the time in hours and object takes to travel 38 miles at the speed of 2 m/h?
38/2
38—2
38+2
38 • 2​

Answers

Answer:  Choice A)  38/2

Reason:

Distance = rate*time

time = distance/rate

time = (38 miles)/(2 mph)

time = 38/2 hours

time = 19 hours

A class contains 5 girls and 5 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?

Answers

Answer:

20/39.

Step-by-step explanation:

There are a total of 13 students.

Prob(Boy is selected) = 8/13

Prob(Girl is then selected) = 5/12

So probability ( Boy selected then a girl)  = 8/13 * 5/12 = 10/39

- and the probability of Girl then a boy selected is also  10/39

So the required probability = 2 * 10/39

= 20/39.

Does anybody know this?The two pentagons shown are similar if the area of the smaller pentagon is 232m^3 find the area of the larger pentagon

Answers

Answer:

  (a)  362.5 m²

Step-by-step explanation:

The ratio of areas is proportional to the square of the ratio of side lengths.

__

scale factor

  larger/smaller = (35 cm)/(28 cm) = 5/4

area

The larger area is the square of this scale factor times the smaller area.

  (5/4)²(232 m²) = 362.5 m²

_____

Additional comment

We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called __________. Group of answer choices measurement error sample bias probability sampling sampling error

Answers

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called Sampling Error , Option D is the correct answer.

What is Sampling Error ?

Sampling error is the difference between the estimated value and the  true value if the whole population was enumerated while doing the sampling.

By following the sampling principles one can keep the sampling error to the minimum.

The knowledge of the sampling error  will help in evaluating the sampling process and defining gits efficiency.

The factors that affect Sampling Error are

Sample Size: When the sample size is large , the Sampling error decreases , They do not have a direct proportion.

Sample Design : These define how the sample will be taken , cluster , random , stratified , Different methods have different extent of sampling error , The design should be selected according to the population and resources constraints.

Population Variability : The variability in the population increases the sampling error as the sampling is then cannot be uniform and cannot represent the entire population , By increasing sample size , the population variability can be minimized and so the sampling error.

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called sampling Error.

Therefore , Option D is the correct answer.

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I need help with my math!! help me pleaasee.

Answers

Answer:

60 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

79 add 41 is 120

180 minus 120 is 60

Area of triangle = 180 degrees

79+41= 120
180-120=60

X=60

Parallel lines cut by transversal line what is the measurement of angle D?

Answers

Answer:

110

Step-by-step explanation:

The angle with given measure 110 and the angle that is represented with letter d are alternate angle and the measure of alternate angles is equal to each other

so the measure of d = 110

PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).


How long is each side of the park?

Answers

Answer:

13

Step-by-step explanation:

26.5 - 13.5 = 13

109, 94, 87, 103, 89, 112, 98, 115, 99 Find the lower quartile



109, 94, 87, 103, 89, 112, 98, 115, 99 Find the median.




2 QUESTIONS TO ANSWER PLEASE ANSWER THIS ASAP WILL GIVE BRAINIEST

Answers

Answer:

Below in bold.

Step-by-step explanation:

109, 94, 87, 103, 89, 112, 98, 115, 99

First arrange them in ascending order.

87 89 94 98 99 103 109 112 115

The median is the middle value:

= 99.

The lower quartile

= (89+94) / 2

= 183/2

= 91.5.

Donald bought a box of golf balls for $9.26. There were 18 golf balls in the box. About how much did each golf ball cost?

Answers

Answer:

$0.51 per golf ball.

Step-by-step explanation:

9.26 divided by 18 is 0.51.

Answer:

$1.94 dollars

Step-by-step explanation:

hehe

Give an example of a strong, negative correlation
coefficient.

Answers

Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

somebody please help me​

Answers

Answer:

1/18

Step-by-step explanation:

I have provided a tree diagram showing all the possibilities

Answer:

[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball

[tex]P=\frac{2}{8} =0.25[/tex] for red ball

Step-by-step explanation:

For green ball probability will be,

[tex]P=\frac{2}{9}=0.222\\[/tex]

while for the red ball, it will be,

[tex]P=\frac{2}{8} =0.25[/tex]

What is the answer to the problem 20.754 - 14.526

Answers

Answer:

6.228

Step-by-step explanation:

You just really like math to answer this one ngl

Answers

Answer:

p(a tail on the second toss) = 4/8

p(exactly one head) = 3/8

p(a head on each of the last two tosses) = 2/8

Step-by-step explanation:

Julia earned $2,000 during the month of September. Use the paycheck statement to find the missing amounts and percent rates of the taxes Julia paid. I WILL MARK BRAINLIEST. only want answers

Answers

Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

What is the income tax rate?

It is defined as the tax rate applied on the solely earned money by a single entity.

Julia paid to social security as a payroll tax = 6.2% of 2000

= (6.2×2000)/100

= $124

Julia paid to Medicare as a payroll tax = 1.45% of 2000

= (1.45×2000)/100

= $29

Julia paid a percent of her income to the federal government as an income tax:

= (260/2000)×100

= 13%

Julia paid a percent of her income to state government as an income tax:

= (120/2000)×100

= 6%

Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

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Simplify 12.4 and 12.39

Answers

Answer:

12.4 and 12.39 = 4.836x12

Step-by-step explanation:

Express 2x² - 12x + 7 in the form a (x + b)² + c, where a, b and c are constants.

Answers

Answer:

2(x-3)² - 11 where a = 2, b = -3, c = -11

Step-by-step explanation:

Taking the first 2 terms,

2x² - 12x ==> 2(x² -6x)   [1]

x² -6x can be rewritten as (x -3)² - 9 [2]

since (x-3)² = x² -6x + 9  

Substituting for x² -6x in [1] we get

2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18

Therefore substituting for 2x² - 12x in the original equation we get

2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11

this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11

Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7

A number cube has edges of 8 centimeters. What is the surface area of the number cube?
-64 square centimeters
-192 square centimeters
-384 square centimeters
-512 square centimeters

Answers

Answer:

384 square centimeters

Step-by-step explanation:

The surface area formula for a cube is 6L^2

(L=length or in this case edge)

Plug in values and solve the formula.

SA=6L^2

SA=6(8^2)

SA=6(64)

SA=384 square centimeters

8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate i.
A = [? ] ft2

Answers

Answer:

49.12 ft squared

Step-by-step explanation:

1/2(6*8) = 24

1/2(16)pi = 8pi = 25.12

total: 49.12

Jamal is looking for a summer job. One job pays $10 per hour. Another pays $15 per hour but requires a uniform that costs $50. What are the two quantities that vary in relation to each other in this situation?

Answers

Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500

The table below shows the hours the restaurant is open each week.
Monday through Friday 10 A.M.-7 P.M.
Saturday and Sunday 9:30 AM.-8 P.M.
How many hours is the restaurant open each week?

Answers

Answer:

66 hours

Step-by-step explanation:

Monday through Friday is 45 hours

and Saturday and Sunday is 21 hours

PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid

Answers

1. 429 cm^2
BH + 4(1/2BH)
11*11 + 4*1/2(11*14)
2. 179.1 yds^2
1/2BH+ 4*1/2BH
1/2(9*7.8) + 4(1/2*9*8)

(Express the answer as dollar.cents)

Answers

Answer:

$46.20

Step-by-step explanation:

Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20

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