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:
y = -4
x = -2
Step-by-step explanation:
Hi there...
y = 2x
y = -x - 6
Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...
2x = -x - 6
add x on both sides...
3x = -6
divide by 3 on both sides...
x = -2
Now, plug in x for y. Here's what I mean...
y = 2x
y = 2 (-2)
y = -4
Hope this helps :)
Answer:
y = (4/7)x² - (24/7)(x)
Step-by-step explanation:
4 = a(-1)² + b(-1)
4 = a - b
0 = a(6)² + b(6)
36a + 6b = 0
b = -6a
4 = a - (-6a)
7a = 4
a = 4/7
b = -24/7
y = (4/7)x² - (24/7)(x)
doo
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Step-by-step explanation:
Answer:
24
Step-by-step explanation:
