In order to find the perimeter, all we have to do is add all three of the sides:
x^2 + 3 + 2x + 5 + 2x = 29
x^2 + 4x + 8 = 29
Subtract 29 from both sides:
x^2 + 4x - 21 = 0
Factor:
(x + 7)(x - 3) = 0
{-7, 3}
3 can be the only possible length, since a length can't be a negative number.
2x = 6
2x + 5 = 11
x^2 + 3 = 12
-T.B.
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and <em>x </em>yd to 15 yd. We want to find <em>x</em>. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
Alright, lets get started.
Suppose the speed to the ranch = x mph
So, speed to the ocean will be = (x-4) mph (because the speed was 4 mph less than the speed to the ranch)
Distance to the ranch = 888 miles
time moving to the ranch 
time moving to the ranch 
time moving to the ocean 
As per given in question, the 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean , means
Corss multiplying
Hence speed to ranch = 74 mph
Hence speed to ocean = 
mph
time for trip to ranch = 
hrs
time for trip to ocean = 
hrs
So, speed to ranch is 74 mph and trip time is 12 hrs and speed to ocean is 70mph and time is 4 hrs.
Hope it will help :)
Answer:
5
Step-by-step explanation:
Let the price of paint be x and the price of brush be y
8x + 3y = 152.5 ------------ (1)
6x + 2y = 113 --------------- (2)
(1) x 2 :
16x + 6y =305 -------------(1a)
(2) x (3) :
18x + 6y = 339 -------------(2a)
(2a) - (1a) :
2x = 34
x = 17 ---------- sub into (2)
6(17) + 2y = 113
102 + 2y = 113
2y = 113 - 102
2y = 11
y = 5.5
x = $17, y = $5.50
Each gallon of paint costs $17 and each brush costs $5.50
