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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9|⁻¹/₃z| + 6 < 30
9|⁻¹/₃z| + 6 < ±30
9|⁻¹/₃z| + 6 < 30 or 9|⁻¹/₃z| + 6 > -30
9(¹/₃z) + 6 < 30 or 9(¹/₃z) + 6 > -30
3z + 6 < 30 or 3z + 6 > -30
- 6 - 6 - 6 - 6
3z < 24 or 3z > -24
3 3 3 3
z < 8 or z > -8
Solution Set: {z|z < 8 or z > -8} and (-∞, 8) or (-8, ∞)
Answer:
85
Step-by-step explanation:
In this type of problem, x is always the average of the two angle measures of the arcs. In this case, (100+70)/2=85 degrees. Hope this helps!
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