Answer:
an Altitude
Step-by-step explanation:
Its altitude indicated by point <em>A</em> to line <em>BC</em>
Answer:
(x-3)²+(y+5)²=16
Step-by-step explanation:
![\large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20%7D)
The equation above is an equation of circle with a centre at (h,k) and has radius = r
Substitute h = 3, k = -5 and r = 4 in the equation.
![\large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%7B%28x%20-%203%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20%28%20-%205%29%29%7D%5E%7B2%7D%20%20%20%3D%20%20%7B4%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%5Clarge%7B%20%7B%28x%20-%203%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%2B%205%29%7D%5E%7B2%7D%20%20%3D%2016%7D)
Answer:
![5x + 3y = 36](https://tex.z-dn.net/?f=5x%20%2B%203y%20%3D%2036)
Step-by-step explanation:
First we need to rewrite 3x-5y=8 in slope-intercept form.
![y = \frac{3}{5} x - \frac{8}{5}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B5%7D%20x%20-%20%20%5Cfrac%7B8%7D%7B5%7D%20)
The slope of this line is
![\frac{3}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20)
The line perpendicular to this line will have a slope that is the negative reciprocal of 3/5, which is
![m = - \frac{5}{3}](https://tex.z-dn.net/?f=m%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20)
This line passes through (3,7).
The equation is given by:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
We substitute the point and slope to get:
![y - 7 = - \frac{5}{3} (x - 3)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20%28x%20-%203%29)
We multiply through by 3 to get:
![3y - 21 = - 5(x - 3)](https://tex.z-dn.net/?f=3y%20-%2021%20%3D%20%20-%205%28x%20-%203%29)
Expand to obtain:
![3y - 21 = - 5x + 15](https://tex.z-dn.net/?f=3y%20-%2021%20%3D%20%20-%205x%20%20%2B%2015)
![3y + 5x = 15 + 21](https://tex.z-dn.net/?f=3y%20%20%2B%205x%20%3D%20%2015%20%2B%2021)
![5x + 3y = 36](https://tex.z-dn.net/?f=5x%20%2B%203y%20%3D%2036)
Answer:
0.125
Step-by-step explanation:
Do the long division and you'll find the answer.