What is the area of this triangle?

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).

Answer:

x = 42.67

Step-by-step explanation:

x + 2x + 7 + 45 = (3 - 2) * 180

3x + 52 = 180

   - 52       - 52

3x = 128

/ 3    / 3

x = 42.67

Answer:

X < -6

Step-by-step explanation:

The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have:

Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.

The line of best fit is:

y  = 70.28x + 425.77

Plug x = 3 in the line of best fit:

y  = 70.28(3) + 425.77

y = 21.084 + 425.77

y = 636.61 minutes ≈ 637 minutes

Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ5

Answer:

Step-by-step explanation:

the 1 one is the right one

Answer:

A. The afternoon temperature was 5 degrees above the night temperature

Step-by-step explanation:

have a nice day

Answer:

C my dude. have a merry christmassss

Answer:

A

Step-by-step explanation:

Both are negative, and largest is always first.

Answer:

See below!

Step-by-step explanation:

Only the first choice is accurate.

The second choice is incorrect since it doesn't accurately represent the situation described.

The third choice is incorrect since it also doesn't accurately represent the situation described.

The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.

While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.

Answer

Only option 1 is correct

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9 is where you graph it first, to start your line. this would mean that it is B

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

9514 1404 393

Answer:

  60%

Step-by-step explanation:

Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...

  48/80 × 100% = 60%

60% of the 80 coffees served were regular.

Answer:

Commutative

Please, mark as brainliest

Answer: 11w

Step-by-step explanation: you can add 4w and 7w since they both have the variable w.

Answer:

-5h-2   I think this is the answer.

Step-by-step explanation:

9514 1404 393

Answer:

  company B

Step-by-step explanation:

The growth rate is 1 less than the growth factor. The growth factor is the base of the exponential term.

Company A

  growth factor: 0.70

  growth rate: 0.70 -1 = -0.30 = -30%

__

Company B

  growth factor: 1.90

  growth rate: 1.90 -1 = 0.90 = 90%

__

Company B has a higher growth rate than Company A. (Company A has decreasing sales, not increasing.)

Company B has a higher growth rate than Company A.

Answer:

D is the answer

Step-by-step explanation:

5 units right and 3 units up

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

First of all A and B are Letters not numbers...

Answer: a-b

Step-by-step explanation:

Answer:

-5.1 , -14/3, -4

Step-by-step explanation:

In the negative side of the numberline -5 is lesser than -14/3 and -4.

Also -14/3 is aproximatedly -4. 6. so its less than -4

Answer:

1. -5.1

2. - 14/3

3. -4

Explanation:

- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.

Hope this helps!

I hope I explained well!

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.

Answer:

61,000

Step-by-step explanation:

Move it 4 places to the right.

The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.

61 + 62 + 63 + 64 = 250

Answer:

61 , 62 ,63 , 64

Answer:

-4x+5/3

Step-by-step explanation:

-2x+5/6

multiply by 2

-4x+5/3

you can also check by plugging in a number for x and see if the answer is the same.

Answer:

61 it is because it is in first