X + y = 4
Is how you would write it in standard form.
The mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
M ∝ L³
After removing proportional sign
M = cL³
Plug M = 50 kg and L = 70 cm = 0.7 m
50 = c(0.7)³
c = 145.77 kg/m³
If L = 0.9 m, then M
M = (145.77 kg/m³)(0.9 m)³
M = 106.266 ≈ 106.27 kg
Thus, the mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
Learn more about the proportional here:
brainly.com/question/14263719
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Answer:
The ratios of their perimeters is 3/4
Step-by-step explanation:
In this question, we are asked to find the ratio of two perimeter of different regular polygons having the same number of sides but different side lengths.
A regular polygon is a polygon that has its all its sides to be of equal lengths. Now to find the perimeter of this kind of polygon, what we need to do is to multiply the number of sides that we have by the length of one of the sides.
Now, since we know that the number of sides of the polygons are equal, we can say that both polygons each have a total length of n sides each.
For the 6 inch side polygon, the perimeter of the polygon would be 6 * n = 6n inches
For the 8 inch side polygon, the perimeter of the polygon would be 8 * n = 8n inches
The ratio of the two thus becomes;
6n : 8n
This is same as writing 6n/8n
This is equal to 3:4 to the lowest ratio( we first divide by n on both sides, then 2 after wards to arrive at this answer.
A. Evidence. To support a point you would need something to back it up. That being evidence/facts.
<h3><u>
Question:</u></h3>
Complete the equation of the line whose slope is -2 and y intercept is (0,3)
<h3><u>Answer:</u></h3>
The equation of the line whose slope is -2 and y intercept is (0,3) is y = -2x + 3
<h3><u>
Solution:</u></h3>
Given that line has slope of -2 and y - intercept of (0, 3)
We have to find the equation of line
The equation of line can be found by using the slope intercept form
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y-intercept
Here given that slope = m = -2
y - intercept is the y-coordinate of a point where a line intersects the y-axis.
So here y intercept is (0, 3) and we get c = 3
Substituting the values in slope intercept form we get,
y = -2x + 3
Thus the equation of line is found
