Has endpoints q(4, 10) and s(–2, 3). find the coordinates of the midpoint of . (1, 6.5) (1, 13) (6.5, 3.5) (6.5, 1)

Answers

Answer 1

Answer: The midpoint is (1, 6.5)

The best way to find the midpoint of a line is by taking the average of its respective coordinates.

The average of the x coordinates 4 and -2 is 1 because when they are added together and divided by 2 you get 1.

Similarly for the y coordinates, which are 10 and 3. Added together they give an answer of 13 and when that is divided by 2 we get 6.5.

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A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

Answers

The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95

Now,
y = 13.95 - 11
y = $2.95

Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16763389

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p = h - 11
53p + 45h = 784.10

just a matter of subbing and solving...
53(h - 11) + 45h = 784.10
53h - 583 + 45h = 784.10
98h = 784.10 + 583
98h = 1367.10
h = 1367.10/98
h = 13.95

p = h - 11
p = 13.95 - 11
p = 2.95

so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece

Determine the area of the regular hexagon

Answers

Answer:To determine the area of a regular hexagon, we need to use the formula:

Area = (3√3 * s^2) / 2

Where:

- s represents the length of one side of the hexagon.

In the given question, the side length of the regular hexagon is not provided. Therefore, we cannot calculate the exact area without that information.

However, if we assume the side length is 7.79 meters, we can substitute it into the formula to find the area:

Area = (3√3 * (7.79)^2) / 2

Area = (3√3 * 60.6641) / 2

Area ≈ 104.434 square meters (rounded to three decimal places).

Again, please note that this answer assumes the side length of the hexagon is 7.79 meters. If the actual side length is different, the area will also be different.

Step-by-step explanation:sorry for this guys meanness he did it to me to

Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains

Answers

sorry hun but i believe you got this!!!! But multiply boo trust me

65.2 hours

Which of the following is not in the domain of f(x) = log(x + 4)?
-4
-2
0
4

Answers

Answer:

-4

Step-by-step explanation:

The number inside of the ( ) for a log must be greater than 0.

What's the answer for this Patrick and his friends Jerome and Marina collect football cards. Altogether they have 3,000 cards. Patrick has 1,533 cards in his collection and Jerome has 837 cards

Answers

Marina collected 1000 cards

The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 104 Pa at a volume of 108 L. If the volume is expanded to 432 L, what will the new pressure be?26 Pa
27 Pa
416 Pa
1728 Pa

Answers

The answer is 26 Pa.

The ideal gas law can be presented as:
PV = nRT
where
P - pressure of the gas,
V - volume of the gas,
n - amount of substance of gas,
R - gas constant,
T - temperature of the gas.

But, we do not need to know all of the equation members since the right side of the equation is not affected and will remain the same. It is enough the left side of the equation:

P₁V₁ = P₂V₂

It is given:

P₁ = 104 Pa

V₁ = 108 L

V₂.= 432 L

The unknown is P₂ = ?

P₁V₁ = P₂V₂.

104 Pa × 108 L = P₂ × 432 L

11,232 Pa L = P₂ × 432 L

P₂ = 11,232 Pa ÷ 432

P₂ = 26 Pa

Therefore, the new pressure will be 26 Pa.

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John's library has 3 hardcover books for every 8 paperbacks. If he has 121 books in his library, how many of them are paperbacks. Will mark brainliest if correct. Pls show work.

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