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Semmy [17]
2 years ago
15

I need help on number 6 plz!

Mathematics
1 answer:
expeople1 [14]2 years ago
8 0

Woah that looks hard

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The three lines 8x+3y=12, 6y-7x=24, x+9y+33=0 intersect to form a triangle. Find the coordinates of its centroid
kicyunya [14]

Answer:

coordinates of its centroid=(-1,-1)

Step-by-step explanation:

The given three lines are:

8x+3y=12,                                     (1)

6y-7x=24                                      (2)

and x+9y+33.                               (3)

Multiplying equation (1) by 2 and subtract the equation (2), we get

23x=0⇒x=0,

Putting the value of x=0 in equation (2), we get

6y=24

y=4

Now, multiply the first equation by 3 and subtract the equation (3), we get

23x=69⇒x=3

Putting the value of x=3 in equation (1), we get

24+3y=12

3y=-12

y=-4

Also, multiplying the equation (3) by 7 and add the equation (2), we get

69y=-207

y=-3

Putting the value of y=-3 in equation (2), we get

6(-3)-7x=24

-18-24=7x

x=-6

So the centroid is located at (the average of the three vertices):  

x=\frac{0+3-6}{3}=\frac{-3}{3}=-1 and y=\frac{4-4-3}{3}=\frac{-3}{3}=-1.

Thus, the coordinates of its centroid=(-1,-1)


3 0
3 years ago
I need help? if someone could please help me that would be awesome.
Andre45 [30]

Answer:

35 millimeters

Step-by-step explanation:

1.4 inches * 1millimeters / 0.04inches = 35 millimeters

use this equation:

starting units * desired units / starting units = desired units

3 0
3 years ago
Read 2 more answers
Solve. Tell whether the equations have all real numbers or no solutions.
GenaCL600 [577]
The answer is zero, so no solution is your answer.
4 0
2 years ago
Read 2 more answers
Four cookies and three cupcakes code $13.25. Five cookies and two cupcakes cost $11.75. Give the system of equations that could
Kaylis [27]

Answer:

  • cookie: $1.25
  • cupcake: $2.75

Step-by-step explanation:

Let x and y represent the cost of a cookie and a cupcake, respectively.

  4x +3y = 13.25

  5x +2y = 11.75 . . . . . . the system of equations

___

By Cramer's rule:

  x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25

  y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75

The cost of one cookie is $1.25; the cost of one cupcake is $2.75.

_____

Cramer's rule gives the solution to the system of equations ...

  ax +by =c

  dx +ey = f

as ...

  ∆ = bd -ea

  x = (bf -ec)/∆

  y = (cd -fa)/∆

7 0
3 years ago
A. -5<br> B. 4<br> C. -4<br> D. 5
Nostrana [21]
The answer is D. In the function y=4/(x-5), A value of 5 would make the denominator 0. This is undefined, so 5 is excluded.
4 0
3 years ago
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