1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
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The area is length times width. So the answer is 2304x^11
For all probability exercises, the probability is always
(the number of possible 'successful' results)
divided by
(the total possible number of results).
1). Number of diamonds in the deck = 13
Total cards in the deck = 52.
Probability = (13/52) = 1/4 = 25%
2). Probability of the first one being a diamond = 1/4 .
Now there are 51 cards left, and 12 of them are diamonds.
Probability of the second one being a diamond = 12/51
Probability of both events =
(1/4) x (12/51) = 3/51 = about 5.88% (rounded)
3). First one is a diamond: 13/52
Now there are 51 cards left, and 13 of them are clubs.
Second one is a club: 13/51.
Probability of both events = (13/52) x (13/51)
= 169/2652 = about 6.37% (rounded)
4). Same logic, same solution, as #3.
5). 6.37% chance that it happens with the diamond coming up first,
6.37% chance that it happens with the club coming up first.
Probability of either one happening = 12.74% (rounded).
1. Vertical shift, when k is outside of the parenthesis it indicates the translation up or down. Positive k is up and negative k is down.
2. Horizontal shift, when k is inside of the parenthesis it indicates the translation left or right. BE CAREFUL: positive k is left and negative k is right. Don’t get these mixed up
Answer:
I am not 100 percent sure, it's been a long time since I've done this type of math but I think that these are the answers
Step-by-step explanation:
1. x= -3, y=-3
2. x= 5, y= -2
3. x= -3, y = -7
4. x=2, y= 1
5. x=0, y= -4