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tia_tia [17]
3 years ago
8

If X =3 calculate the value of 2x2+X

Mathematics
2 answers:
Serga [27]3 years ago
6 0
If X=3 then 2x2=4 and 4+3=7 so 7 would be your answer
lbvjy [14]3 years ago
3 0
It should be 7 wouldnt it be

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Find two unit vectos that are orthogonal to both [0,1,2] and [1,-2,3]
alekssr [168]

Answer:

Let the vectors be

a = [0, 1, 2] and

b = [1, -2, 3]

( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.

Let the cross product be another vector c.

To find the cross product (c) of a and b, we have

\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]

c = i(3 + 4) - j(0 - 2) + k(0 - 1)

c = 7i + 2j - k

c = [7, 2, -1]

( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:

c / | c |

Where | c | = √ (7)² + (2)² + (-1)²  = 3√6

Therefore, the unit vector is

\frac{[7,2,-1]}{3\sqrt{6} }

or

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

In conclusion, the two unit vectors are;

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

and

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

<em>Hope this helps!</em>

7 0
3 years ago
What do you start with?<br> 6(3+8n)=210
neonofarm [45]
Always start with what’s in the parentheses:)
3 0
3 years ago
Read 2 more answers
Si gasto el 90% de mis ahorros, me queda la decima parte de los que habia ahorrado?
barxatty [35]

Answer:

Si

Step-by-step explanation:

100% - 90% = 10%

10% = 0.10 = 1/10

Respuesta: Si

8 0
3 years ago
(y 3 - y 2 + y + 3) ÷ (y + 1)
Rufina [12.5K]

Answer:

y^2-2y+3

Step-by-step explanation:

use synthetic division

-1| 1  -1  1  3

      -1  2 -3

   1  -2  3 (0)

  y^2 -2y +3  

3 0
2 years ago
The length of a rectangle is 12ft longer than twice the width. If the perimeter is 108ft, find the length and width of the recta
Tcecarenko [31]

Answer:

Down below

Step-by-step explanation:

P = 2L + 2W

P = 108

L = 2W+12

108 = 2(2W+12) + 2W

108 = 4W + 24 + 2W

108 = 6W + 24

84 = 6W

14 = W

W = 14

If the width is 14, then the length is twice that plus 12, or 38

38 + 38 + 14 + 14 = 108

3 0
3 years ago
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