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2 years ago

Please write the solution

Mathematics

1 answer:

GrogVix [38]2 years ago

3 0

Answer:

Step-by-step explanation:

that is the answer to the question above

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Read 2 more answers

SOMEBODY PLZ HELP FAST!!! Use the data in the stem-and-leaf plot to match the term in Column A to the answer in Column B.

irakobra [83]

12, 13, 15, 20, 24, 25, 26, 31, 33, 34

First, let's just find everything (minimum, maximum, Q₁, median {Q₂}, Q₃)

Minimum : 12, because it is the lowest number.

Maximum : 34, because it is the highest number.

Median (Q₂) : 24.5, because it is the middle number.

Q₁ : 15, because it is between 24.5 and 34

Q₃ : 31

So,

1) d-12

2) c - 34

3) b-15

4) f-24.5

5) a-31

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3 years ago

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3 years ago

Find the equation for the plane through the points Po(3,-2,5), Qo(-3,-1,-5), and Ro(0,-4,4) The equation of the plane is Type an

Vedmedyk [2.9K]

Answer:

- 21 x + 24 y + 15 z =120

Step-by-step explanation:

Given that

Po(3,-2,5), Qo (-3,-1,-5), and Ro (0,-4,4) ,These are the point in the space.

We know that equation of a plane is given as

$\begin{vmatrix}x-x_1 & y-y_1 &z-z_1 \\ x_2-x_1 & y_2-y_1 &z_2-z_1 \\ x_3-x_1 &y_3-y_1 & z_3-z_1\end{vmatrix}=0\\$

$\begin{vmatrix}x-0 & y+4 &z-4 \\ 3-0 & -2+4 &5-4 \\ -3-0 &-1+4 & -5-4\end{vmatrix}=0.$

$\begin{vmatrix}x & y+4 &z-4 \\ 3 & 2 &1 \\ -3 &3 & -9\end{vmatrix}=0.$

Now by solving above determinate we get

x( -18 -3 ) -(y+4 ) ( -27 +3 ) + ( z- 4) (9+6) = 0

-21 x +24 y -24 x 4 + 15 z - 24 = 0

- 21 x + 24 y + 15 z -120 = 0

- 21 x + 24 y + 15 z =120

Therefore the equation of the plane will be

- 21 x + 24 y + 15 z =120

6 0

3 years ago