Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.
<h3>Linear equation</h3>Linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the number of balloons for x animals.
Amira uses 4 balloons for each animal.
For Mandisa, using the table using (20, 225) and (60, 25):
Therefore Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.
Find out more on linear equation at: brainly.com/question/14323743
Answer:
Measure of side YX is 22 units.
Step-by-step explanation:
Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.
By substituting the values given in the picture in the ratio,
By cross multiplication,
2(3x - 9) = 3(x + 8)
6x - 18 = 3x + 24
(6x -18) + 18 = 3x + 24 + 18
6x - 3x = (3x + 42) - 3x
6x - 3x = 42
3x = 42
x =
x = 14
m(YX) = x + 8
= 14 + 8
= 22
Therefore, measure of side YX is 22 units.
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Explanation:
There are probably a number of ways to approach this problem, but row reduction was the only method I could think of at the moment.
If you were to follow the steps shown in the attached image, then you'll be on the process of applying row reduction. The last step in that diagram isn't in full REF (row echelon form), but that doesn't technically matter.
What does matter is the 2k-14 entry in the bottom row. If that entry was 0, while the entry just to the right of it was nonzero, then this would lead the entire system of equations to be inconsistent. This is because the bottom equation would be in the form 0x+0y+0z = m, where m is some nonzero constant. As you can see, that equation would simplify to 0 = m; however, m is nonzero, so we have a contradiction.
If 2k - 14 were 0, then
2k - 14 = 0
2k = 14
k = 14/2
k = 7
This is the only k value in which the system is inconsistent. In other words, the system wouldn't have any solutions with this k value. You can verify this through completing the row reduction with k = 7 (it should be far easier now that we can nail down a fixed k value) and find that you'll get a contradiction. You could also use substitution to find an inconsistency would arise when k = 7.
Side notes:
