The distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
<h3>Distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
D = √(y2-y1)²+(x2-x1)²
Given the coordinate points X(−4,3) and Y(2,−7)
Substitute
XY = √(-7-3)²+(2+4)²
XY = √(-10)²+(6)²
XY = √100+36
XY = √136
XY = 11.7 units
Hence the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
Learn more on distance here: brainly.com/question/17273444
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I think the answer is 1/5 because 20% is 1/5 of 100%.
Let the length and width be l and w, respectively. Then, perimeter = 2(l + w) = 40, and area = lw = 96. In other words:
l + w = 20
lw = 96
From here, we could guess and check to get that the length and width are 12 and 8, but let’s do this rigorously:
By the first equation, l = 20 - w
Substituting into the second equation:
(20 - w) * w = 96
w^2 - 20w + 96 = 0
w^2 - 20w + 100 = 4
(w - 10)^2 = 4
w - 10 = 2 or -2
w = 12 or 8
The rest is trivial.