Answer: There are two dogs for every three cats. That means there are 2/3 as many dogs as cats
Step-by-step explanation: I don't really know i'm just using my small brain. Sorry if it is wrong.
X = 8
y = 6
a = 10
? = 1920
x + y + x = 22
8 + 6 + 8 = 22
a + a + x = 28
10 + 10 + 8 = 28
y + 2y + 2a = 38
6 + 2(6) + 2(10) = 38
2y * x * 2a =
2(6) * 8 * 2(10) = 1920
Answer: MN = 8.5
Step-by-step explanation:
Form it into a right triangle with MN being the hypotenuse (side opposite the right angle)
To make this a right triangle, plot a point at (8,-2) and connect the sides. The lengths of the legs that form the right angle are both 6 units. Use the Pythagorean theorem to solve for length of MN. a^2+b^2=c^2. (a and b are the legs that form the right angle and c is the hypotenuse)
6^2+6^2=c^2
36+36=c^2
72= c^2
8.48528137 = c.
Question says to round to nearest tenth of a unit
8.5 = c (line MN)
Answer:
(A) Set A is linearly independent and spans . Set is a basis for .
Step-by-Step Explanation
<u>Definition (Linear Independence)</u>
A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.
<u>Definition (Span of a Set of Vectors)</u>
The Span of a set of vectors is the set of all linear combinations of the vectors.
<u>Definition (A Basis of a Subspace).</u>
A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.
Given the set of vectors , we are to decide which of the given statements is true:
In Matrix , the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column. has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans .
Therefore Set A is linearly independent and spans . Thus it is basis for .