Answer:
Step-by-step explanation:
given are four statements and we have to find whether true or false.
.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.
True
2.Different sequences of row operations can lead to different echelon forms for the same matrix.
True in whatever way we do the reduced form would be equivalent matrices
3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.
False the resulting matrices would be equivalent.
4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.
True, because variables are more than equations. So parametric solutions infinite only is possible
This is the same as averaging. You add them and divide by 2.
((m/n) + (p/q))/2 would be a number in between m/n and p/q.
Do note that n and q must be nonzero, but luckily that is a given.
The answer to this problem is C.
Here's why:
The area of a triangle = 1/2 * (base) * (height) (Note: a triangle is half of a rectangle, and rectangles have Area = (base) * (height))
<span>Because the base of ΔAED is half of ΔACB (2 = (1/2) * 4), and height of ΔAED is half of ΔACB (3 = (1/2) * 6), we know that the area of ΔAED will be half of ΔAED.
</span>
So, it's C. I am sure =)
If it helped you, please mark me brainliest! =D
Have a nice day!
The ratio indicates that there are 8 dolls for every 7 teddy bears. That means that if there is 16 dolls, then there is 14 teddy bears. And that if there is 24 dolls, then there is 21 teddy bears. You could continue this pattern, or you could divide and multiply. If you have 160 dolls, then do 160/8 to simplify the ratio. You get 20. So if there is (8x20) dolls, then there is (7x20) teddy bears. 7x20 is 140, so there are 140 teddy bears.
Answer:
Step-by-step explanation:
"Inversely proportional to x" in this situation is represented by a = k/x.
Find k:
Let a = 15 and x = 25, then calculate k:
15 = k/25)
Multiplying both sides by 25 yields k = 15(25), or k = 3/5
3
and so a = -----------
5x
