Answer:
y + 7 = -
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
Where m is the slope and (a, b) a point on the line
Here m = -
and (a, b) = (1, - 7), thus
y - (- 7) = -
(x - 1), that is
y + 7 = -
(x - 1) ← in point- slope form
Its not a negative number but a positive number
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Use pothomath that app is good
For math
Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,
![\frac{CO}{FO} =\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BCO%7D%7BFO%7D%20%3D%5Cfrac%7B2%7D%7B1%7D)
we have FO=4
so, we can plug it
![\frac{CO}{4} =\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BCO%7D%7B4%7D%20%3D%5Cfrac%7B2%7D%7B1%7D)
![CO=8](https://tex.z-dn.net/?f=CO%3D8)
now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem
![x^2=(\frac{x}{2} )^2+12^2](https://tex.z-dn.net/?f=x%5E2%3D%28%5Cfrac%7Bx%7D%7B2%7D%20%29%5E2%2B12%5E2)
now, we can solve for x
![\frac{3x^2}{4}=144](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E2%7D%7B4%7D%3D144)
![x^2=192](https://tex.z-dn.net/?f=x%5E2%3D192)
![x=8\sqrt{3}](https://tex.z-dn.net/?f=x%3D8%5Csqrt%7B3%7D)
Since, it is equilateral triangle
so,
![AC=x=8\sqrt{3}](https://tex.z-dn.net/?f=AC%3Dx%3D8%5Csqrt%7B3%7D)
we know that
E is a mid-point
so,
![AE=\frac{AC}{2}](https://tex.z-dn.net/?f=AE%3D%5Cfrac%7BAC%7D%7B2%7D)
now, we can plug values
![AE=\frac{8\sqrt{3}}{2}](https://tex.z-dn.net/?f=AE%3D%5Cfrac%7B8%5Csqrt%7B3%7D%7D%7B2%7D)
................Answer