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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Answer:
-50
Step-by-step explanation:
b-5 
b-5 = -45 ( collect like terms)
b = -45 + -5
b = -45 -5 b = -50
Answer:
B
Step-by-step explanation:
First, we are decreasing the number so it has to be a decrease.
Next, we divide 7/31 and get around 0.23, which also represents 23 percent.
This only shows that 7 is 23 percent of 31, so we need to find the decrease by seeing the difference of 100 and 23.
We get 100 - 23 = 77, and because it is a decrease we get B.
The triangle is illustrated below.
<h3>How to explain the triangle?</h3>
The first thing you should find are the new vertices:
(x, y) ---> (2x, 2y) ---> (x', y')
(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)
(-4, 4) ---> (2 (-4), 2 (4)) ---> (-8, 8)
(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)
Then, you must join the ordered pairs and graph the new triangle.
See the attached graph.
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