Answer:
The product of given matrix is 
Step-by-step explanation:
Given : Two matrix
and 
We have to find the product of given matrix
Multiply the rows of first matrix by the columns of second matrix , we have,
On , simplifying , we get,
Thus, the product of given matrix is
If you divide both sides by -4 you get
So, you wrote the equation in the form y=kx, and in this form k is the constant of variation. So, the constant is -2.
Answer:
Step-by-step explanation:
Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining
substract the science problems from the total 43-3=40
And now we can determine the amount of math problems
4/5 = 40/x where x is the total amount of math problems Ivan was assigned
cross multiply
4x = 5*40
4x=200
isolate the variable
4x/4 = 200/4
x=50
So Ivan was assigned a total of 50 math problems
(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation
Hope this helps!
The idea being, when you run a perpendicular line to the base, from the right-angle in a right-triangle, like in this case, what you end up with is, three similar triangles, a Large triangle containing the two smaller ones, a Medium triangle and a Small one, check the picture below.
since all three are similar, we can use the proportions on the corresponding sides, as you see in the picture, the base of the triangle then will just be x + y.
The solution to this would be x=2, y=-2
