Answer:
Decimal Fraction Percentage
0.101 101/1000 10.1%
0.1 100/1000 10%
0.1013 101/997 10.13%
0.1012 101/998 10.12%
Step-by-step explanation:
The equation of the line with points (2,10) and (0,0) is: y = 5x.
<h3>How to Find the Equation of a Line?</h3>
The line given has two points which are stated as:
(2,10) and (0,0).
Find the slope(m):
Slope (m) = change in y / change in x = (10 - 0)/(2 - 0)
Slope (m) = 10/2
Slope (m) = 5
The y-intercept (b) = 0
Substitute m = 5 and b = 0 into y = mx + b
y = 5x + 0
y = 5x
The equation of the line is: y = 5x.
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Answer:
1,385.442360233099
Step-by-step explanation:
Pie times the radius squared
An equation of the circle that will pass through the four (4) vertices of the square is (x + 2)² + y² = 2².
<h3>How to find the equation of this circle?</h3>
Mathematically, the general form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
- h and k represents the coordinates at the center.
- r is the radius of a circle.
<u>Note:</u> The center of a circle lies on the midpoint of the diagonal of a square, which is formed by joining its endpoints (opposite).
Midpoint on x-coordinate is given by:
Midpoint = (-2 - 2)/2
Midpoint = -4/2 = -2.
Midpoint on y-coordinate is given by:
Midpoint = (-2 + 2)/2
Midpoint = 0/2 = 0.
Thus, the center (h, k) = (-2, 0).
For the radius, we have:
r = √(-2)² + 0²
r = √4 = 2.
Substituting the parameters into the general equation, we have;
(x - (-2))² + (y - 0)² = 2²
(x + 2)² + y² = 2²
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5x + 4y ≤ 20
5x - 5x + 4y ≤ 20 - 5x
<u>4y</u> ≤ <u>20 - 5x</u>
4 4
y ≤ 5 - 1.25x