Answer:
12.9
Step-by-step explanation:
Answer:
AC = 13 units
Step-by-step explanation:
A(0 , -4) ; c(5 , 8)
Distance = 
![= \sqrt{(5-0)^{2}+(8-[-4] )^{2}} \\\\\\= \sqrt{5^{2}+(8+4)^{2}} \\\\\\=\sqrt{5^{2}+12^{2}}\\\\= \sqrt{25 + 144}\\\\= \sqrt{169} = 13 \\\\\\](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%285-0%29%5E%7B2%7D%2B%288-%5B-4%5D%20%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%20%5Csqrt%7B5%5E%7B2%7D%2B%288%2B4%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%5Csqrt%7B5%5E%7B2%7D%2B12%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B25%20%2B%20144%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B169%7D%20%3D%2013%20%20%20%5C%5C%5C%5C%5C%5C)
Answer:
Step-by-step explanation:
15:35 should be 3/7
Answer:
- y +4 = (-1/6)(x -9)
- y = -1/6x -2.5
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For your given values m=-1/6 and (h, k) = (9, -4), your equation is ...
y +4 = (-1/6)(x -9)
__
Solving for y puts this in slope-intercept form.
y = -1/6x +9/6 -4 . . . . eliminate parentheses, subtract 4
y = -1/6x -2.5
For this case what we must observe are the following triangles:
ADB
BDC
According to the diagram, the triangles have exactly the same dimensions.
Therefore, it is fulfilled:

Then, the value of AC is given by:

Substituting values we have:

Answer:
The value of AC is given by:

option 3