The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
The given coordinates are X(6,1) Y(-2,-3) Z(0,3).
<h3>What are coordinates?</h3>
A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.
We know that, Distance formula 
Now, 
units
units
units
Here, 
Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
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Answer:
3/4 of the way from A to B = 
or (-3.5, 1.25)
Step-by-step explanation:
Please see attached images below for explanation:
Answer:
dy/dx = 9x²+2
dy = (9x²+2) dx
dy/dt = (9x²+2) dx/dt
if x = 2 and dx/dt=5 then
dy/dt = (9*2²+2)*5 = 38*5 = 190
Answer:
slope = 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
<h3>#6</h3>
<u>Given equation:</u>
- 4/(x - 3) + 2/(x - 2) = 2
<u>Multiply all terms by (x - 3)(x - 2):</u>
- 4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)
- 2(x - 2) + (x - 3) = (x - 3)(x - 2)
- 2x - 4 + x - 3 = x² - 5x + 6
- x² - 5x - 3x + 6 + 7 = 0
- x² - 8x + 13 = 0
- x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3
<u>Compare this to the given form to get:</u>
Correct choice is A
