Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

Answers

Answer 1

Answer:

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

How to use distance formula?

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

To know more about distance formula click on,

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Answer 2

Answer:

Answer:

$d = √(13)$ or d = 3.61

Step-by-step explanation:

$d= √((x_2-x_1)^2+(y_2-y_1)^2)\nd= √((2-(-1))^2+(8-6)^2)\nd= √((3)^2+(2)^2)\nd= √(9+4)\nd= √(13)$

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With Ad = vt + at, solve for Ad given that v; =5.4, a = -9.8, and 1 = 3 d. 74

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Hello, I've uploaded the photo with the answer to your question here: https://t.ly/iTbeU

If r and s can be any integers such that s > 10 and 2r + s = 15, which of the following is the solution set for r ?

Answers

R = -2
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Jamar has a bag that contains apple chews, lemon chews, and peach chews. He performs an experiment. Jamar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jamar performs the experiment 59 times. The results are shown below: An apple chew was selected 53 times. A lemon chew was selected 3 times. A peach chew was selected 3 times. Based on these results, express the probability that the next chew Jamar removes from the bag will be apple chew as a decimal to the nearest hundredth.

Answers

Answer:

the answer is 0.90

Step-by-step explanation:

Answer:

The probability that the next chew Jamar removes from the bag will be an apple chew is:

P(apple) = number of times an apple chew was selected / total number of experiments

P(apple) = 53 / 59

P(apple) ≈ 0.90

Rounded to the nearest hundredth, the probability that the next chew Jamar removes from the bag will be an apple chew is 0.90.

Step-by-step explanation:

One number is 4 more than another, and their sum is 60. What is the smaller number?

Answers

According to your question, there are 2 unknown numbers mentioned.Let the 2 unknown numbers be represented by the variables x & y, thenx is considered to be one of the numbers being more than y by the addition of 4, .ie.x = 4 + y --- (1)The sum of the 2 numbers is 60, i.e.x + y = 60 --- (2)To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e.4 + y + y = 604 + 2y = 602y = 60 - 42y = 56y = 28 ...Ans.Recall that x is more than y by 4, then 28 is the smaller number.

April sold 75 tickets to a school play and collected a total of $495. If the adult tickets cost $8 each and child tickets cost $5 each, how many adult tickets and how many child tickets did she sell?

Answers

Answer: 40 adult tickets and 35 child tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of child tickets that were sold.

April sold 75 tickets to a school play. It means that

x + y = 75

If the adult tickets cost $8 each and child tickets cost $5 each and and a total of $495 was collected from ticket sales, it means that

8x + 5y = 495- - -- - - - - - - - -1

Substituting x = 75 - y into equation 1, it becomes

8(75 - y) + 5y = 495

600 - 8y + 5y = 495

- 8y + 5y = 495 - 600

- 3y = - 105

y = - 105/-3

y = 35

x = 75 - y = 75 - 35

x = 40

a section in a stained glass window is shaped like a trapezoid. the top base is 4 centimeters and the bottom base is 2.5 centimeters long. if the area of the section of glass is 3.9 square centimeters. how tall is the section

Answers

Hello, so the equation for the area of a trapezoid is A = (a+b)*(h/2)

In which, a is one of the bases, b is the other base, and h is the height. A is the Area. If you wanna solve for height, rearrange the equation to what h equals.

First divide (a+b) from both sides
A/(a+b) = h/2

Now multiply 2 on both sides

2(A/(a+b)) = h

Now you have it rearranged equal to just h. Plug in the values now.

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2(3.9/(6.5)) = h

2(.6) = h

1.2 = h

The section is 1.2 centimeters tall.your welcome

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