If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?

i will mark the brainlliest

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

P1(3, 2)P2(6, 8)

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

[tex]\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

  [tex]=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}[/tex]

  [tex]=\sqrt{3^2+6^2}[/tex]

  [tex]=\sqrt{45}[/tex]

  [tex]=\sqrt{5}\sqrt{3^2}[/tex]

  [tex]=3\sqrt{5}[/tex]

Thus, the length of the segment is:

[tex]\:\:\:l=3\sqrt{5}[/tex]

Determining the equation of a line containing the segment P1P2

Given the points

P1(3, 2)P2(6, 8)

Finding the slope between P1(3, 2) and P2(6, 8)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)[/tex]

[tex]m=\frac{8-2}{6-3}[/tex]

[tex]m=2[/tex]

Using the line point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

[tex]y-2=2\left(x-3\right)[/tex]

Add 2 to both sides

[tex]y-2+2=2\left(x-3\right)+2[/tex]

[tex]y=2x-4[/tex]

Thus, the equation of a line containing the line segment P1P2 is:

[tex]y=2x-4[/tex]


Related Questions

please i need help on this

Answers

Answer:

ur black lol

Step-by-step explanation:

being black is racist

Lena and 3 of her friends bought just enough food to go on a 12- day camping trip. Pete and Jane surprised them by showing up at the start of the trip and asking to join, but they brought no food. By what percent would the time for the trip shorten for the trip if everyone ate their normal portions?

Answers

The number of people increased by 2.

This means as a ratio it is now 6/4 as many as originally planned.

6/4 can be reduced to 3/2.

The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.

This means the length of time the food lasts is reduced by 1/3, which is 33.3%

What is the value of x in the equation 2.5 minus 0.25 x = negative 3

Answers

Answer:

-22

Step-by-step explanation:

A baker has 3/4 pound of sugar left in his Pantry needs one eighth of a pound for each batch of cookies he makes what is the greatest number of batches of cookies the baker can make with 3/4 of powdered sugar

Answers

He can make 6 batches

What does g=? Please helppp

Answers

The answer is g = 11 because all triangles always add up to 180. brainliest is appreciated

Write 81+72 as a proudect using gcf as one of the factors

Answers

Step-by-step explanation:

Since 81 = 9² and 72 = 9 * 8,

81 + 72 = 9(9 + 8) = 9 * 17.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression 81+72 as a product using GCF as one of the factors can be written as,

81+72

= 9(9+8)

Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Which expression is equivalent to the following?

(5×10−3)+(6×10−3)2.2×104
A.5 × 10-7
B.5 × 10-1
C.5 × 10-10
D.5 × 107

Answers

Answer:

1.32 * 10^2

Step-by-step explanation:

Given the expression;

(5×10−3)+(6×10−3)2.2×10^4

First we need to do the multiplication first;

= (5×10−3)+(13.2×10−3+4)

= (5×10−3)+(13.2×10^1)

= 0.005 + 132

= 132.005

= 1.32 * 10^2

Hence the equivalent expression is 1.32.0 * 10^2

What is the equation of the line written in general form?

-3 x - y + 2 = 0
3 x + y - 2 = 0
3 x - y - 2 = 0

Answers

Answer:

I think its the second one :)

Answer:

B. 3 x + y - 2 = 0

Step-by-step explanation:

Hope this helped have an amazing day!

is y=-3x+2 a function? why is it/is it not a function?

Answers

It is a function.

You can try plot the graph of that equation and then plot a vertical line. You will see that the graph will only intercept the vertical line only once. That is a function.

Or you can look at the equation. Functions have the equations that start with "y=". Rather say that if you see "y" only (not y² or y³ just only y) then that is mostly a function.

Can someone please help me on this question
I will give brainliest

Answers

Answer:

A) 3 in

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Surface Area of a Sphere: SA = 4πr²Diameter: d = 2r

Step-by-step explanation:

Step 1: Define

SA = 23 in²

Step 2: Find r

Substitute [SAS]:                    23 in² = 4πr²Isolate r term:                         23 in²/(4π) = r²Isolate r:                                  √[23 in²/(4π)] = rRewrite:                                   r = √[23 in²/(4π)]Evaluate:                                 r = 1.35288 in

Step 3: Find d

Substitute [D]:                    d = 2(1.35288 in)Multiply:                              d = 2.70576 inRound:                                d ≈ 3 in

Amanda read 30 pages of her 175 page book in 2 hours. At this rate how long will it take her to read the entire book?

Answers

Answer:

5.8 hours

Step-by-step explanation:

175 / 30

What’s the slope of the line for each of these! Hurry I at testing!

Answers

1. Slope (m) = 2/1 or 2
2. Slope (m) = 1/2
3. Slope (m) = -1/2
slope 1 is “2”
slope 2 is “1/2”
slope 3 is “1/2”
mark me brainliest please

Wer +266. A bag contains $3$ balls labeled $2, 4$ and $8$. A ball is to be picked, the value on the label is to be recorded and then the ball is to be returned to the bag. This will be done three times and then the values will be added together. What is the sum of all of the possible distinct sums?

Answers

Answer:

The sum of all the possible distinct sum is 128

Step-by-step explanation:

The number of balls in the bag = 3

The ball labels, (the numbers written on the balls) = 2, 4, and 8

The number of balls selected with replacement = 1

Therefore, we have have, the number of ways of selecting 1 ball from 3 = 3 ways

The distinct combination of the selected balls are;

2, 2, 2 with sum 2 + 2 + 2 = 6

2, 2, 4 with sum 2 + 2 + 4 = 8

2, 2, 8 with sum 2 + 2 + 8 = 12

2, 4, 4 with sum 2 + 4 + 4 = 10

2, 4, 8 with sum 2 + 4 + 8 = 14

2, 8, 8 with sum 2 + 8 + 8 = 18

4, 4, 4 with sum 4 + 4 + 4 = 12

4, 4, 8 with sum 4 + 4 + 8 = 16

8, 8, 4 with sum 8 + 8 + 4 = 20

8, 8. 8 with sum 8 + 8 + 8 = 24

The distinct sums are therefore;

6, 8, 12, 10, 14, 18, 16, 20, 24

The sum of the distinct sum is 6 + 8 + 12 + 10 + 14 + 18 + 16 + 20 + 24 = 128.

Answer: 128

Step-by-step explanation:  

Any sum formed by a combination of the numbers 2, 4, 8  and  must be divisible by 2. The smallest possible value of such a sum is equal to 3*2=6 , and the largest possible value of such a sum is equal to 3*8=24 . After testing, we find that

6 = 2+2+2,    8=4+2+2,    10=4+4+2

12 = 4+4+4,    14 = 8+4+2,   16 = 8+4+4

18 = 8+8+2,   20 = 8+8+4,    24 = 8+8+8

 However, we cannot find a combination that will add to be 22: if two of the numbers are not 8, then the maximum possible sum is 4+4+8 = 16. Thus, two of the numbers picked must be 8, but then the third ball must have the number 6, which is not possible. Thus, the answer is the sum of the even numbers from 6 to 24 excluding 22, which is 128 .

Is anyone good with triangle inequalities? I provided a picture for the problem.

Answers

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

how dose 3^x=10 and x^3=10 differ


Why do you need to use a different method in the two previous problems?

Answers

3^x is raising 3 to an unknown number or variable, while x^3 is raising a variable to 3 (x*x*x)

If a car travels 400 km in 2 hours, how fast is it going? pleasee i need the answer asap​

Answers

Answer:

124m/s

Step-by-step explanation:

Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes. Find the probability that a randomly selected customer will have to wait a) less than 25 minutes b) more than 38 minutes c) between 26 and 32 minutes

Answers

Answer:

a) 0.30854

b) 0.21186

c) 0.23468

Step-by-step explanation:

Mario's Pizza delivers pizzas within a 10-mile radius of the restaurant. Their delivery times are Normally distributed with a mean delivery time of 30 minutes and a standard deviation of 10 minutes.

We solve using z score formula.

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Find the probability that a randomly selected customer will have to wait

a) less than 25 minutes

for x < 25 minutes

z = 25 - 30/10

z = -0.5

Probability value from Z-Table:

P(x<25) = 0.30854

b) more than 38 minutes

For x > 38 minutes

z = 38 - 30/10

z = 0.8

Probability value from Z-Table:

P(x<38) = 0.78814

P(x>38) = 1 - P(x<38) = 0.21186

c) between 26 and 32 minutes

For x = 26 minutes

z = 26 - 30/10

z = -0.4

Probability value from Z-Table:

P(x = 26) = 0.34458

For x = 32 minutes

z = 32 - 30/10

z = 0.2

Probability value from Z-Table:

P(x = 32) = 0.57926

The probability that a randomly selected customer will have to wait between 26 and 32 minutes is calculated as:

P(x = 32) - P(x = 26)

= 0.57926 - 0.34458

= 0.23468

If you have $22 right now and $40 in the bank what % is the part you have from you total %62.

Answers

Answer:

35% on you

Step-by-step explanation:

22/62

Answer:

35.48% or 35.5% rounded

Step-by-step explanation:

So, let me just list the givens:

- You have $22 right now

- You have $40 in the bank

- You have a total of $62.

This is what we need to find:

- What percent is 22 of 62?

In order to get the what percent 22 is of 62, we need to divide 22 by 62.

[tex]\frac{22}{62} = .3548[/tex]

To change this to a percent we would move the decimal 2 times to the right so it will look like this:

.3548 --> 35.48%

Therefore, 20 is 35.48% of the total

I hope this is what you were asking for, if not let me know.

- Kay :)

Find the slope the line passes through (-1,7) and (5,-12)

Answers

Answer:

11/2

Step-by-step explanation:

Answer:

-19/6=-3.17

Step-by-step explanation:

hopefully this helps :)

Angad is 10 years older than Alex. Mark is 11 years younger than Alex. If the total of their ages is 68, how old is the youngest of them?

Answers

Answer:

47

Step-by-step explanation:

at what point do the graphs of 9x - 2y = 30 and x + 2y = 10 intersect

Answers

Answer:

(4,3)

Step-by-step explanation:

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

(2 × 1/2 × 20 × 15) + (16 ×15) + (20 × 16) + (25×16)

300 + 240 + 320 + 400 = 1260 ft²

Give three examples of ratios that are equivalent to 2:3

Answers

Answer:

12:18

8:12

4:6

are the correct answers

Answer:

4:6, 8:12, 6:9

Step-by-step explanation:

convert to radical form (3) 2/3

Answers

Answer:

The radical form of 3 2/3 is

[tex] \sqrt[3]{3 {}^{2} } [/tex]

can someone please help my ASAP

Answers

Domain: (-∞, ∞)

Range: (-∞,1]

Answer:

Domain = All Real Numbers

Range = y≤1

Step-by-step explanation:

Since parabolas are continuous, the domain is all real numbers. The range, or y value, is all real numbers less than or equal to 1 (y≤1), since 1 is the vertex.

Hope this helps :)

What is the parent function for f(x) = (x+7)^2?

Answers

Answer:

I think The parent function is the simplest form of the type of function given g(x)=x^2

Step-by-step explanation:

Evaluate the expression when b= 113

Answers

Need more info sorry hope you get a good grade
you still need some help?

0.018 ÷ 0.02 pls help​

Answers

The answer is 0.9 because if you divide 0.018 and 0.02 you would get 0.9

Mr. Tieu spent $23 on apples, bananas, and oranges. He bought 10 more apples than oranges, and 6 fewer bananas than apples. How many of each kind of fruit did he purchase if one apple costs 70 cents, one apples costs 50 cents, and an orange costs 80 cents each?

Answers

Answer:

apples: 17

oranges: 11

bananas: 7

Step-by-step explanation:

hope this helps!

Can I please get some help on question 8
I will give you brainliest

Answers

Answer:

A) 2.8 m

Step-by-step explanation:

The formula for the volume of a right rectangular prism is:

Volume = Length × breadth × height

We can just put in the values that we know to find the height.

110.1 = 7.8 × 5.1 × height

height = 110.1 ÷ 7.8 ÷ 5.1

height ≈ 2.8 (rounded to nearest tenth)

Thus, the answer is Option A.

Answer:

A) 2.8 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Step-by-step explanation:

Step 1: Define

l = 7.8 m

w = 5.1 m

V = 110.1 m³

Step 2: Solve for h

Substitute [VRP]:                    110.1 m³ = (7.8 m)(5.1 m)hMultiply:                                  110.1 m³ = (39.78 m²)hIsolate h:                                 2.76772 m = hRewrite:                                   h = 2.76772 mRound:                                     h ≈ 2.8 m
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