Answer:
2√5
Step-by-step explanation:
The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...
![\text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}](https://tex.z-dn.net/?f=%5Ctext%7Bdistance%7D%5C%2C%3D%5Cdfrac%7B%7Cax%2Bby%2Bc%7C%7D%7B%5Csqrt%7Ba%5E2%2Bb%5E2%7D%7D)
The general form of your equation for the line is ...
2x +y -6 = 0
so the distance to point (x, y) = (4, 8) is ...
![\text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}](https://tex.z-dn.net/?f=%5Ctext%7Bdistance%7D%5C%2C%3D%5Cdfrac%7B%7C2%5Ccdot%204%2B8-6%7C%7D%7B%5Csqrt%7B2%5E2%2B2%5E2%7D%7D%3D%5Cdfrac%7B10%7D%7B%5Csqrt%7B5%7D%7D%3D2%5Csqrt%7B5%7D)
The distance between the point and line is 2√5.
Answer:
Those points are
units apart.
Answer:
6.2y - 3.7
Step-by-step explanation:
−y+5.3+7.2y−9
Subtract 9 from 5.3 to get −3.7.
−y−3.7+7.2y
Combine −y and 7.2y to get 6.2y.
6.2y−3.7
Answer:
V(s) = 332,9 m³
Step-by-step explanation:
The volume of a sphere is:
V(s) = (4/3)*π*r³
if we know r = 4,3 m then
V(s) = (4/3)*3,14*(4,3)³
V(s) = 332,8693 m³
Rounding the answer to the nearest tenth
V(s) = 332,9 m³
Answer:
og 2 64 2. y = log 11 12
Step-by-step explanation:
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