We have been given two matrices a and b. A has 6 rows and 7 columns, while b has 7 rows and 8 columns.
Since we know that order matters in matrix multiplication. In order for matrix multiplication to be defined number of columns in the first matrix should be equal to the number of rows of in the second matrix.
We can see that number of columns in matrix a and number of rows in matrix b is 7.
Therefore, size of ab will be equal to number of rows of matrix a and number of columns of matrix b that is 6 by 8.
Now we will see whether ba is defined or not. We can see columns in matrix b are 8 and rows in matrix a are 6, which is not equal. So we can say that ba is not defined.
Therefore, size of ba is not defined (dne).
Answer:
c<5, and c>-4.
<u>Steps used for answers:</u>
5c+3<28 =
1. Subtract 3 from both sides.
5c<28-3
2. Simplify 28-3 to 25.
5c<25
3. Divide both sides by 5.
c<25/5
4. Simplify 25/5 to 5.
c<5
-----------------------
-4c-2<14 =
1. Add 2 to both sides.
-4c<14+2
2. Simplify 14+2 to 16.
-4c<16
3. Divide both sides by -4.
c>-16/4
4. Simplify 16/4 to 4.
c>−4
<u>Done by NeighborhoodDealer</u>
It would be 750 dollars because you take 500 times .15 and get 750
Answer:
Kayla is correct The center is a fixed point in the middle of the sphere
Step-by-step explanation:
In mathematics we have certain habit of rules for notation of points, coordinates, segments, angles and so on.
Usually we denote points, by letters even more we denote with the first letter of the object we are denoting
Occasionally, we also denote segments as radius in a circle and in a sphere, with letters, that is r stands for radius, h stands for height, in most cases we denote point for capital letters ( in a segment)
When we denote radius, with small letter it should be placed at the center or over the segment we are traying to denote.
For points we only need to place the letter close to the to the point we want to denote.
Therefore Kayla is correct when says that c stand for " the center of the sphere"
C is the correct answer. A line is proportional if it is a straight line that passes through the origin, and while it does pass through the origin, it isn’t completely straight.
