8x - 2y = 48, y =4
8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x = 56
x = 56/8 = 7
x = 7
What are you looking for. slope?
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,




Taking square root on both sides.


Therefore, the distance between S and S' is 13 units.
Answer:
Tax = $12 Tip = $18 Total Cost = $130
Step-by-step explanation:
tax = tax percentage x amount
0.12 x 100 = 12
tip = tip percentage x amount
0.18 x 100 = 18
The Total Cost
total cost = cost + tax + tip
100 + 12 + 18
Add them up and it would be
$130
Answer:
see explanation
Step-by-step explanation:
(a)
(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )
x² = 12² + 15² - (2 × 12 × 15 × cos71°)
(b)
x² = 144 + 225 - 360cos71°
= 369 - 360cos71° ( take square root of both sides )
x = 
≈ 16 cm ( to the nearest integer )