Omega House Family restaurant is midway between Forsyth Tech Community College
and the Dash baseball stadium. The coordinates of Forsyth Tech are (7, −5) and the
coordinates of the Dash baseball stadium are (−4, 3). What are the coordinates of the
Omega House?

Answers

Answer 1

The coordinates of Omega house is (3/2, 1)

Data;

Forsyth Tech = (7,-5)Stadium = (-4, 3)

Midpoint of a Line

To find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium

[tex]x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})[/tex]

We can substitute the values and solve for both x and y coordinates.

[tex]x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}[/tex]

The value of the y-coordinate is

[tex]y = \frac{-5+ 3}{2} = 1[/tex]

The coordinates of Omega house is (3/2, 1)

Learn more on midpoint of a line here;

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Related Questions

If the scale factor here is 3 (k=3), and if the distance from A to B is 8 units, then what would be the distance from A’ to B’?

8

8/3

24

3

Answers

Distance between AB=8unitsScale factor=3=k

Distance between A'B':-

8k8(3)24

Option C

Given triangle ABC is congruent to DEC find m

Answers

Answer:

angle d = 106

Jackson recorded the following data: 2,5, X, 2, 4, 3. If the mean
of the data is 3, what is the value of x? Explain how you found your answer

Answers

Answer:

x = 2

Step-by-step explanation:

mean = sum of data / number of data

3 = 2 + 5 + x + 2 + 4 + 3 / 6

3 = 16 + x / 6

18 = 16 + x

2 = x

The missing value of data is 2.

What is arithmetic Mean?

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

We have,

Data: 2,5, X, 2, 4, 3

Mean= 3

So, Mean

3 = Sum of data/ Total number of data

3 = (2 + 5 +x + 2 + 4 +3)/ 6

18 = 16 + x

x = 18 - 16

x= 2

So, the missing value of data is 2.

Learn more about Arithmetic Mean here:

https://brainly.com/question/13000783

#SPJ2

You and your friend buy a bag of assorted fruit that contains 3 apples, 5 oranges, and 2 bananas. You each randomly choose a piece of fruit and eat it. What is the probability you both will get a banana?

Answers

The probability is 2/10 because there is 10 fruits in total and 2 bananas

Sarah and Lily mow lawns during the summer to earn money. Sarah
determined that she can earn between $6. 00 and $6. 25 per hour. Lily estimates
that she earns between $7. 50 and $8. 00 per hour. About how much more money will
Lily earn than Sarah if they each work 22 hours?

Answers

Answer:

21.75

Step-by-step explanation:

Because 6.00+6.25=12.25+7.00=19.75+8.00=27.75

Arnold borrowed $7890 at 11.5 percent for five years.

What is the amount of Arnold's total payment?


$11,580


$10,410


$9,520


$8,560

CAN SOMEONE PLEASE HELP ME ASAP IM STUCK

Answers

The answer is 9,520 I think

BRAINLIEST HURRY HURRY By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 280 minutes on the phone, and paid $23.80. In another month, you spent 340 minutes on the phone, and paid $25.90.
Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill, in dollars, for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.
This linear model’s slope-intercept equation is_______ .
If you spent 160 minutes over the phone in a month, you would pay _____.
If in a month, you paid $30.80 of cell phone bill, you must have spent _____ minutes on the phone in that month.

Answers

Answer:Y = Co + C*x.22.45 = Co + C*200,Co = 22.45 - 200C.29.65 = Co + C*350.Co = 29.65 - 350C. = 22.45 - 200C150C = 7.20, C = 0.048/min.Co = 22.45 - 200*0.048 = $12.85/mo. = Initial cost.Y = 0.048x + 12.85.2. Y = 0.048*110 + 12.85 = $18.13.3. 34.10 = 0.048x + 12.85, X = ?.

Step-by-step explanation:

A group of students is riding in a bike tour. They have biked 15 miles, which is 25% of the tour. How long is the tour?

Answers

Answer:

60 miles

Step-by-step explanation:

25% of 60 = 15

Hoped this helped<33

What is 3x + 2y = 12 (show your work)

Answers

Answer:

y = (-3/2)x + 6

Step-by-step explanation:

3x + 2y = 12

2y = -3x + 12

÷2    ÷2    ÷2

y = (-3/2)x + 6

Slope: (-3/2)

Y-intercept: (0,6)

I hope this helps!

Tina buys 5 pounds of potatoes for $4. 35 and 3 pounds of carrots for $3. 57 how much does 1 pound of potatoes cost

Answers

Answer:

1 pound of potatoes costs $0.87

6.
Rahman sets off by car to his office at 08 55. He takes 20 minutes to arrive at his office, What time does he
arrive at his office?

huh its was so hardd can someone explain and solve it for me? :(

Answers

Answer:

he will arrive at work by 9:25 to push the time but its rea£y 9:20

Answer: 09:15

Steps:
Time to travel is 00:20
Start time is 08:55
Time of arrival is ?

20 minutes from 8:55.
An hour has 60 minutes.
There is 5 more minutes until 09:00.
20 - 5 = 15
15 minutes from 09:00 is 9:15.

Find the distance between A(5, -2) B(3, -6)

Answers

Answer:

Over 2 up 4

Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6

Jacob had a cube. When Jacob made a cross section parallel to the base, what shape did the cross section form? trapezoid square parallel triangle

Answers

Answer: Square

Step-by-step explanation:

A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)

Answer:

A square because it is not diagonal.

Step-by-step explanation:

Find the value of a. Round your answer to the nearest tenth. B 10 77.5 A C 7.9

Answers

Answer:

[tex]\displaystyle 11,3[/tex]

Step-by-step explanation:

Use the Law of Cosines to find the length of the third edge:

Solving for Angles

[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]

Use [tex]\displaystyle cos^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]

Take the square root of the final result or it will be thrown off!

Let us get to wourk:

[tex]\displaystyle 10^2 + 7,9^2 - 2[10][7,9]\:cos\:77,5 = a^2 \hookrightarrow 100 + 62,41 - 158\:cos\:77,5 = a^2 \hookrightarrow \sqrt{128,212541} = \sqrt{a^2}; 11,323097677... \\ \\ \boxed{11,3 \approx a}[/tex]

I am joyous to assist you at any time.

The perimeter of a rectangular garage
is 46 meters. The garage is 10 meters
wide. How long is it?
meters

Answers

Divide area by width:

46/10 = 4.6 meters


Answer: 4.6 meters

Answer:

The rectangular garage is 13m long.

Step-by-step explanation:

[tex]\sf\large{\star Given:-}[/tex]

Perimeter of rectangular garage = [tex]\sf\pink{46 \:m.}[/tex]Width of the rectangular garage = [tex]\sf\pink{10\:m.}[/tex]

[tex]\sf\large{\star To\: find:-}[/tex]

How long is the garage (length of garage).

[tex]\sf\large{\star Solution:-}[/tex]

[tex]\rightarrow[/tex]As we know that,

Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]

So, by putting the value of perimeter and width in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]

Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]

_______________________________

Hope it helps you:)

In a survey of 250 voters, 3 out of 5 voters said they planned to vote for a proposed
new county library.
a) how many of these voters plan to vote for the library?
N
b) how many are not planning to vote for the library?

Answers

3/5 of 250 is 150, so 150 voters are planning to vote for the library and 100 are not.

The height of a building in a drawing is 15 inches at the actual height of the building is 165 feet find the scale factor of the drawling

Answers

165 ft / 15 inches = 11


scale = 1 inch = 11 feet

which is written as 1:11

165ft/1:11total =14.11

What is the difference?

74 – 26 =

47
48
52
58

Answers

48 is the correct answer

The second one 48 is the answer

what is 5x15= what help me please to hard

Answers

Answer:

75

Step-by-step explanation:

Which inequality can be used to find how many $1.25 snack packs can be purchased for $10.00?

Answers

Answer:

1.25s [tex]\leq[/tex] 10.00

Step-by-step explanation:

Let's snack = s

Note:

[tex]\leq[/tex] ⇒ Less than or equal to

[tex]\geq[/tex] ⇒ Greater than or equal to

< ⇒ Less than

> ⇒ Greater than

Since we are trying to find how many $1.25 snack packs can be purchased for $10.00.. Thus, that less than or equal to $10.00 which also means we use [tex]\leq[/tex].

Thus the equation is 1.25s [tex]\leq[/tex] 10.00

`lenvy`

Answer:

8 snacks can be purchased

Step-by-step explanation:

10.00/1.25=8

help pls asap i be grateful

Answers

16 Square feet.
Area of a cube is length times width times height
4 x 2 x 2 = 16

Answer: number a

Step-by-step explanation:4 times 2 is 8 8 times 2 is 16

What are the circumstances under which a person will feel disadvantage, if the parking ticket is lost​

Answers

The circumstances where an individual will feel disadvantaged if they misplace or lost a parking ticket is that:

The parking attendant will find it difficult and tasking to locate your car in an absence of a parking ticket.You'll also be charged an extra expensive fee for a lost ticket.

What is a parking ticket?

A parking ticket is a piece of paper informing someone that they have parked a car unlawfully or for an excessively lengthy period of time and must pay a fine.

It is also know to be a notice informing a driver of a fee levied for improperly parking, usually written by a traffic officer and placed to a vehicle windscreen.

However, an individual will feel disadvantaged if they misplace or lost the ticket because:

The parking attendant will find it difficult and tasking to locate your car in an absence of a parking ticket.You'll also be charged an extra expensive fee for a lost ticket.

Learn more about a parking ticket here:

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Find the number if 2 1/2 of it is 15
(please help)

Answers

[tex]2.5x = 15[/tex]

[tex]x = \frac{15}{2.5} = 6[/tex]

Answer:

or Also

[tex] \frac{5}{2} x = 15 \\ 5x = 15 \times 2 \\ 5x = 30 \\ 5x \div 5 = 30 \div 5 \\ x = 6[/tex]

write down the next two terms of the number pattern 2,5,8,11,14

Answers

Answer:

17 and 20

Step-by-step explanation:

Write down the next two terms of the number pattern 2, 5, 8, 11, 14

Looking at the numbers, we can tell that they are increasing by 3:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Hope this helps!

17 and 20 because they are adding 3 every time so 14+3=17 and 17+3=20

Help solve this circle

Answers

You're basically using the supplement angle to find the missing number.

The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function y = 14t2. A second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 130 feet per second and can be modeled by the function y = 130t + 1200. Solve the system of equations. Which solution represents a viable time that the trains are side by side?

A. 14 sec
B. 15 sec
C. 16 sec
D. 17 sec

Answers

Solving the system of equations, it is found that a viable time that the trains are side by side is given by:

B. 15 sec

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

[tex]y = 14t^2[/tex]

[tex]y = 130t + 1200[/tex]

They will be side by side when:

[tex]14t^2 = 130t + 1200[/tex]

[tex]14t^2 - 130t - 1200 = 0[/tex]

It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:

[tex]\Delta = (-130)^2 - 4(14)(-1200) = 84100[/tex]

[tex]x_1 = \frac{130 + \sqrt{84100}}{28} = 15[/tex]

[tex]x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71[/tex]

Time is a non-negative measure, hence option B is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

B: 15 sec

Step-by-step explanation:

I took the algebra exam

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

Its A

Step-by-step explanation

just trust me

The experimental probability of a quarter landing on HEADS is 3/5 if the quarter landed on TAILS 36 times how many times tossed.

Answers

Answer:

90 times

Step-by-step explanation:

I don't rly know how to explain it but it's 90 and I hope this helps you at least know the answer if not then sorry for wasting your time and may God bless you:)

17. Kayden creates a linear function where x is the input, y, is the output, and
m and b are constants.
A. Which equation could represent Kayden's function?
y=1/x+ mb
y = mx + b
© x = my • by
.
B.
Which statement about the graph of Kayden's function is true for all
values of m and b?
~ The graph is increasing.
® The graph is decreasing.
© The graph goes through the origin.
The graph has a constant rate of change.

Answers

Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. if claudius started paying off the loan when he graduated, what is his monthly payment? round all dollar values to the nearest cent. a. $71.37 b. $81.25 c. $55.07 d. $76.55

Answers

Answer:

b.

$81.25

Step-by-step explanation:

taking it rn

Answer:

b 81.25

seen it on quizlet

Step-by-step explanation:

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