Answer:
5
Step-by-step explanation:
Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.
Then, if A is a matrix
the maximum number of pivots that can have is one by row, that is, 5.
Then the maximum rank that A can have is 5.
B should be the correct answer
77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find b, you first need to calculate slope and see where the line intersects the y-axis.
To get m (slope), use the form y1 - y2/x1 - x2. It would look like this:
2 - 12/-1 - 4. This simplifies to:
-10/-5, which further simplifies to 2. Now, graph the points to find y....
My graph shows that the line intersects at (0, 4), so slope-intercept form would look like:
y = 2x + 4 (remember, 2 is the slope and 4 is the y-intercept)
Hope this helps.
Answer:
Step-by-step explanation:
hypotenuse=2*AB
where AB is the smallest side.
Take AB as the base .
Draw a perpendicular at B.
A as the center and cut an arc AC=2 AB
Join AC.
CAB is the reqd. triangle.