Answer:
p ∈ IR - {6}
Step-by-step explanation:
The set of all linear combination of two vectors ''u'' and ''v'' that belong to R2
is all R2 ⇔
And also u and v must be linearly independent.
In order to achieve the final condition, we can make a matrix that belongs to 
using the vectors ''u'' and ''v'' to form its columns, and next calculate the determinant. Finally, we will need that this determinant must be different to zero.
Let's make the matrix :
![A=\left[\begin{array}{cc}3&1&p&2\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%26p%262%5Cend%7Barray%7D%5Cright%5D)
We used the first vector ''u'' as the first column of the matrix A
We used the second vector ''v'' as the second column of the matrix A
The determinant of the matrix ''A'' is
We need this determinant to be different to zero
The only restriction in order to the set of all linear combination of ''u'' and ''v'' to be R2 is that
We can write : p ∈ IR - {6}
Notice that is 
⇒
If we write 
, the vectors ''u'' and ''v'' wouldn't be linearly independent and therefore the set of all linear combination of ''u'' and ''b'' wouldn't be R2.
Answer:
Same as Angle B. 90 degrees.
Step-by-step explanation:
If triangles are similar then they have the exact same angle measures. Angle m will have the same value as angle B. If angle B's measure is not found, then find it by adding angle A and angle C together and subtract from 180.
The picture is cut off but if A =60 and C=30 then 60+30=90 and 180-90=90. Angle B and M are both 90 degrees.
Answer:
$31.18
Step-by-step explanation:
14.50 x 2 = 29
29 x 0.075 = 2.175
29 + 2.175 = 31.175
Round up to 31.18
Answer:
You're right! The 1st part is 25, and the second part is all real numbers
Step-by-step explanation:
She has to pay $25 to begin with. For the 2nd part, it's not going to be any crazy values, since we're dealing with money
Answer:
8.5 
inches
Step-by-step explanation:
Scientific scientific notation is where the super small / super large number is multiplied by a 10 (E) to the power of a number. Here, the number is smaller than 8.5 so our power must be negative. As we are making it four "places" bigger, we use the exponent of -4.
Hope this helps, have a nice day! :D
