Answer:
408
Step-by-step explanation:
You would set up a proportion of 1/12 = 34/x. You would do the butterfly method and get 1x=408. Then divide 408 by 1 to get 408.
Answer:
254
Step-by-step explanation:
the angle is 254
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
![-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26-1%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%268%5C%5C-1%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2610%5C%5C-7%26-4%5Cend%7Barray%7D%5Cright%5D)
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
Answer:
The sum of the given vectors is ![[0,1,2]+[0,0,-3]=[0,1,-1]](https://tex.z-dn.net/?f=%5B0%2C1%2C2%5D%2B%5B0%2C0%2C-3%5D%3D%5B0%2C1%2C-1%5D)
Step-by-step explanation:
For the given vectors (which are R³ vectors), the sum is simply the sum of each coordinate, if a general vector is written as
![[x,y,z]](https://tex.z-dn.net/?f=%5Bx%2Cy%2Cz%5D)
<u>the sum of two vector will be in each coordinate at a time</u>.
To illustrate geometrically the resulting vector in the space xyz
![[0,1,-1]](https://tex.z-dn.net/?f=%5B0%2C1%2C-1%5D)
<em>we can say that the first coordinate is on the x-axis, the sencond on the y-axis, and the third one on the z-axis</em>, so the illustration will be a <em>vector starting from the center of coordinates, and ending in the coordinates 0 of the x-axis, 1 of the y-axis, and -1 of the z-axis</em>. <u>Or, in a plane yz (where x=0), a vector from the origin to the point 1 in y-axis, and -1 in z-axis</u>.
Here I have attached a photo to help you with this: