Here, Coordinates: (4, 5) & (8, 9)
Calculation of Slope, m = y2-y1 / x2-x1
m = 9-5 / 8-4
m = 4 / 4
m = 1
Now, Take any coordinate:
y - y1 = m(x - x1)
y - 5 = 1(x - 4)
y - 5 = x - 4
y = x + 1
In short, Your Answer would be: y = x + 1
Hope this helps!
Answer:
5 months
Step-by-step explanation:
Equate the formulas for the weights of the two boys:
J's weight = 120 lb + (10 lb/mo)m = D's weight = 150 lb + (4 lb/mo)m
Solve as follows: Subtract 120 lb from both sides:
(10 lb/mo)m = 30 lb + (4 lb/mo)m.
Then: (6 lb/mo)m = 30 lb, and m = (30 lb) / (6 lb/mo) = 5 months
For this case we have the following expression:
By definition of properties of powers and roots we have to:
![a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}](https://tex.z-dn.net/?f=a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D)
Then, we can rewrite the expression as:
![\sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
Answer:
![4 ^ {\frac {3} {8}} = \sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=4%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B8%7D%7D%20%3D%20%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
Perimeter of figure = 3 sides of rectangle + perimeter of semi-circle.
3 sides of rectangle = 15 + 12 + 15 = 42
Perimeter of semi-circle = πr = 3.14 * 6 = 18.84
In short, Your Answer would be: 42 + 18.84 = 60.84 m
Hope this helps!
