The solution is x = -61/8 and y = -1/2.
<u>Step-by-step explanation</u>:
The given equations are -4x + 3y = 29 and 2y + 5 = 4
<u>Step 1</u> : There is no x term in the second equation.
<u>Step 2</u> : Solve for y, 2y = 4 -5
y = -1/2
<u>Step 3</u> : Substitute y = -1/2 in first equation and solve for x.
<u>Step 4</u> : -4x + 3(-1/2) = 29
-4x -(3/2) = 29
-8x -3 = 292
-8x = 58 + 3
x = -61/8
Answer:
STEP 1: See attached drawing on graph paper
STEP 2:
Length of segment 1 - 2 = 100 feet
Length of segment 2 - 3 = 89.44 ft.
Length of segment 3 - 4 = 186.82 ft.
Length of segment 4 - 5 = 120.83 ft.
Length of segment 5 - 1 = 136.01 ft.
STEP 3:
The perimeter of the property is 633.103 ft.
STEP 4:
The cost of fencing by Company 1 is $7597.24
The cost of fencing by Company 2 is $8246.55
Therefore, the company that provides the cheapest quote for fencing the property is Company 1
Step-by-step explanation:
STEP 1: See attached drawing on graph paper
STEP 2:
Therefore, we have
Length of segment 1 - 2 = √(8² + 6²) = 10 × 10 = 100 feet
Length of segment 2 - 3 = √(4² + 8²) = 4·√5× 10 = 40·√5 feet = 89.44 ft.
Length of segment 3 - 4 = √(5² + 18²) = √349 = 10·√349 feet = 186.82 ft.
Length of segment 4 - 5 = √(11² + 5²) = √146 = 10·√146 feet = 120.83 ft.
Length of segment 5 - 1 = √(11² + 8²) = √185 = 10·√185 feet = 136.01 ft.
STEP 3:
Therefore, the perimeter of the property = 100 + 89.44 + 186.82 + 120.83 + 136.01 = 633.103 ft.
STEP 4:
Hence the cost of fencing the property by Company 1 = $12 × 633.103 = $7597.24
The cost of fencing the property by Company 2 = $250 + $15 × 533.103 = $8246.55.
