Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Answer:

The unknown number is 2.

Step-by-step explanation:

Let x represent the unknown number.

It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:

[tex]9x + 3[/tex]

The sum is equal to the product of 3 and 7, or 21. Therefore:

[tex]9x + 3 = 21[/tex]

Solve for x. Subtract 3 from both sides:

[tex]9x = 18[/tex]

And divide both sides by 2. Hence:

[tex]x = 2[/tex]

In conclusion, the unknown number is 2.

Answer:

Whenever the denom is 0, that's where it's undefined -- or in your case "restrictions"

So factoring 2x^2 + x - 21 gets you (x-3)(2x+7). That means 3 and -7/2 are the restricted values.

To simplify, I'm going to factor it. (Assuming what you wrote is 8x^2 for the numerator)

[(4x-7)(2x+7)] / (x-3)(2x+7)

You can cancel 2x+7 out,

so you get 4x-7/x-3

Answer:

1. 1,246

2. 0,545

3. 0,9539

Step-by-step explanation:

semoga membantu :)

Answer:

here

I =p×t×r/100

= 24000×2×10/100

= 4800

again,

sum = p+I

= 24000+4800

= 28800

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A table and graph are attached.

__

b) The relationship is NOT PROPORTIONAL. The line does not go through the origin (0, 0).

Using proportions, it is found that the Big Board market had the largest fraction.

------------------------

Big board:

The proportion that rose is:

[tex]p_B = \frac{1788}{3154} = 0.5669[/tex]

------------------------

NASDAQ:

The proportion that rose is:

[tex]p_N = \frac{2068}{3655} = 0.5658[/tex]

[tex]p_B > p_N[/tex], thus, the Big Board market had the largest fraction.

A similar problem is given at https://brainly.com/question/19905617

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEDMAS says parentheses first

Work from the inside out

9 - [4^2 - (5)]

9 - [16-5]

9 - [11]

Subtract

9-11

-2

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

Answer:

Linear Function

Step-by-step explanation:

This is a linear function. A linear function is a function with the degree of 1, where the line increases continuously the whole graph. The growth of the graph is constant, making a straight line. This function is written in slope-intercept form, f(x) = mx+b. Where m is the slope and b is the y-intercept. The function will have 1 solution.

9514 1404 393

Answer:

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.

Answer:

11

Step-by-step explanation:

The answer will be 11

as she is thinking of prime number so

111 is not a prime number

aswell as 77 is not a prime number

11 is a prime number and is also a multiple of 11

Answer:

11

Step-by-step explanation:

Answer:

(0, 1 )

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis

On the y- axis the x- coordinate of any point is zero

From the table when x = 0 , y = 1

Then y- intercept is (0, 1 )

Answer:

8 or 9

Step-by-step explanation:

4 times 8 equals 32, and 4 times 9 equals 36

Answer:

27

Step-by-step explanation:

Midpoint has coordinates [tex](x_m,y_m)[/tex] which equal to,

[tex]x_m=\frac{x_1+x_2}{2}[/tex]

[tex]y_m=\frac{y_1+y_2}{2}[/tex]

We know the coordinates of a midpoint as well as the coordinates of [tex]A(x_1,y_1)[/tex] so we should be able to find coordinates of [tex]B(x_2,y_2)[/tex].

First solve both equations for [tex]x_2[/tex] and [tex]y_2[/tex] respectively,

[tex]x_2=2x_m-x_1[/tex]

[tex]y_2=2y_m-y_1[/tex]

Now insert the data,

[tex]x_2=2\cdot1-(-3)=\boxed{5}[/tex]

[tex]y_2=2\cdot2-6=\boxed{-2}[/tex]

The coordinates of B are therefore [tex](5,-2)[/tex].

Hope this helps :)

The midpoint of AB is (1, 2) the coordinates of A are (-3,6) coordinates of B coordinates of point B are (5, -2).

To find the coordinates of point B given that the midpoint of AB is (1, 2) and the coordinates of A are (-3, 6),  use the midpoint formula:

Midpoint formula: M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Given that M is the midpoint (1, 2) and A is (-3, 6), we have:

(1, 2) = ((-3 + x2) / 2, (6 + y2) / 2)

Solve for x2 and y2:

For x-coordinate:

1 = (-3 + x2) / 2

2 = -3 + x2

x2 = 2 + 3

x2 = 5

For y-coordinate:

2 = (6 + y2) / 2

4 = 6 + y2

y2 = 4 - 6

y2 = -2

To know more about coordinates here

https://brainly.com/question/32836021

#SPJ3

Answer:

C

Step-by-step explanation:

-4*(-2)=7(r+9)

8=7r+63

-7r=55

r=-55/7=-7 6/7

Step-by-step explanation:

The correct answer is 4 (option B)

3(4x+3)=12x+9

i don't know what do you need,

if roots, let 12x+9=0

the root is x=-3/4

Answer:

a:h=square root of 0.6

Step-by-step explanation:

thank you for your time today

Answer:

none of the above

Step-by-step explanation:

KHAN

Answer:

120 customers on the 2nd day

Step-by-step explanation:

100/1ST DAY

120/2nd day

140/3rd day

160/ 4TH DAY

Answer:

Not too sure about this one, but I hope this helps.

Step-by-step explanation:

basically I just used the formula y=mx+b

m is the slope

and b is the y intercept

Answer:

(x-27)(x+4) = 0

Step-by-step explanation:

I think you have a typo, and meant

x^2 -23x-108

what are two factors of 108 that differ by 23?

x^2 -24x-108 does not factor with rational coefficients.

Answer:

5^6

Step-by-step explanation:

This is because the exponent is how many numbers are in the multiplication equation, in this case, five. Because there are six five's being multiplied together, our exponent is six.

Answer:

731 and 164 rounded off to the nearest tens is 730 and 160.

the difference is 570

570. rounded off to the nearest hundred is 600

Answer:

you either need to score a perfect on one exam and get a 80 on the second or get two 90s on both exams.

Step-by-step explanation:

9514 1404 393

Answer:

  T, T, F, F, T

Step-by-step explanation:

First of all, it is helpful to know ...

  √8 ≈ 2.8284

  √7 ≈ 2.6458

Now you can check the inequalities:

0, 1, 2, and √7 are left of √8 on a number line, so are all less than √8.

3 and 8 are right of √8 on a number line, so are greater than √8.

Answer:

T, T, F, F, T.

Step-by-step explanation:

Person above is correct!!

Answer:

2x + 3 + 3x +12 + 90 = 180 (degree )

5x +105=180 (degree )

5x= 180-105 (degree )

5x = 75 (degree )

x = 75/5 (degree )

x = 15 #

therefore, 2x + 3= 2*15 + 3

=30+3

= 33#

3x + 12 = 3*15+12

= 45 +12

= 57#