Answer:
It is B the right triangle altitude theorem
Step-by-step explanation:
edg. 2021
Answer: If the dimension of V is n, then V has n elements.
Now, dim(U) + dim(W) = n, this means that the addition of the dimensions of U and W also has n elements.
and because U and W are subspaces of V, you know that every element on U and W is also an element of V.
If U ∩ W = ∅, means that there are no elements in common between U and W.
Because there are no elements in common, then Dim(U) + Dim(W) = dim(U ∪ W) = n
So U ∪ W has the same number of elements as V, and every element of W and U is also an element of V
this means that U ∪ W = V.
Answer:
The square would be 25p^2 - 90p + 81
Step-by-step explanation:
To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.
First - Multiply the first number in each parenthesis.
5p * 5p = 25p^2
Outer - Multiply the outside numbers in each parenthesis.
5p * -9 = -45p
Inner - Multiply the inner numbers in each parenthesis.
-9 * 5p = -45p
Last = Multiply the last numbers in each parenthesis
-9 * -9 = 81
Now take all of those numbers and add together. Then simplify.
25p^2 - 45p - 45p + 81
25p^2 - 90p + 81
Answer:
The system of equations is
y = 0.25(x - 10)² + 6
y = -0.7941x - 0.2938