Hey!
So the first thing we can notice is that we are given the equation of the line parallel to the one we need to find. Two parallel lines always have the same slope. We can tell by looking at the equation that the slope of the line that we have been given is 1 and since the lines are parallel the slope of the line we need to find is also 1.
Knowing this and a point that the line passes through, we can find the y-intercept or b:
y = mx + b
4 = 1(1) + b
4 = 1 + b
3 = b
Since we know that the y-intercept is 3, we can plug this back into the slope intercept form equation along with the slope to get our equation:
y = x + 3
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.
Learn more about proportional relationship on:
brainly.com/question/15618632
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I hope this helps you
(-5)^2+2. (-5)(-square root of 3)+('square root of 3)^2
25-10square root of 4+3
28-10square root of 3
The Awnser for the exact value is 7x + 3
Answer:
()=10
Step-by-step explanation: