C. 3.16 is the right answer
Step-by-step explanation:
The distance formula used in coordinate geometry is derived from the Pythagorean theorem.
The distance formula is give by:
![d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_2%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point
Here,
(x1,y1) = (5,-3)
(x2,y2) = (6,0)
Putting the values in the formula
![AB = \sqrt{(6-5)^2+(0-(-3))^2}\\=\sqrt{(1)^2+(0+3)^2}\\=\sqrt{(1)^2+(3)^2}\\=\sqrt{1+9}\\=\sqrt{10}\\=3.16\ units](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%286-5%29%5E2%2B%280-%28-3%29%29%5E2%7D%5C%5C%3D%5Csqrt%7B%281%29%5E2%2B%280%2B3%29%5E2%7D%5C%5C%3D%5Csqrt%7B%281%29%5E2%2B%283%29%5E2%7D%5C%5C%3D%5Csqrt%7B1%2B9%7D%5C%5C%3D%5Csqrt%7B10%7D%5C%5C%3D3.16%5C%20units)
The distance between two points is 3.16 units.
Hence,
C. 3.16 is the right answer
Keywords: Coordinate geometry, Pythagorean Theorem
Learn more about Pythagorean theorem at:
#LearnwithBrainly
Answer:
The base = 8 cm and the altitude = 4 cm.
Step-by-step explanation:
b = a + 4 where b = base and a = the altitude.
Area = 1/2 * a * b = 16
Area = 1/2 * a * (a + 4) = 16
1/2 a^2 + 2a = 16
a^2 + 4a - 32 = 0
(a + 8)(a - 4) = 0
a = 4 .
b = 4+4 = 8.
I agree we do need to see a picture