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FinnZ [79.3K]
3 years ago
5

Carter and his cousin are playing a game where they pick up colored sticks. Carter currently has 24 points

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0
The answer is 15 because I checked it with Socratic
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Show that there do not exist scalar c1 c2 and c3 c1(-2,9,6)+c2(-3,2,1)+c3(1,7,5)= (0,5,4)​
fredd [130]

This is the same as showing the following system of equations doesn't have a solution:

\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}

or in matrix form,

\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}

The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.

And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:

(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)

So there are indeed no such scalars <em>c₁</em>, <em>c₂</em>, and <em>c₃</em>.

5 0
2 years ago
Help me find surface area of this shape
lozanna [386]
The triangle <span>pyramid</span>  is made up of 4 triangles.

------------------------------------
Formula:
------------------------------------
Area of triangle = 1/2 x base x height

------------------------------------
Area of the bottom triangle:
------------------------------------
Area = 1/2 x 9 x 7.8
Area = 35.1 yd²

------------------------------------
Area of the 3 side triangles:
------------------------------------
Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²

------------------------------------
Total Area:
------------------------------------
Total Area = 135 + 35.1 
Total Area = 170.1 yd²

------------------------------------------------------------------------
Answer: Surface Area = 170.1 yd².
------------------------------------------------------------------------

4 0
3 years ago
hey girlies im bored and need friends add my discord fruitloops#5035 anyone is welcomed. Also enjoy the free points
Virty [35]

Answer:

ok

Step-by-step explanation:

ok and thank you for the free points

3 0
2 years ago
Read 2 more answers
Work out the value of angle x ​
kobusy [5.1K]

Answer:

its an equallateral so its 60 degrees

Step-by-step explanation:

5 0
2 years ago
-what is the answer<br>​
faust18 [17]

Answer:

answer

Step-by-step explanation:

4 0
2 years ago
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