Answer:
b = -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6b+14=−7−b
6b+14=−7+−b
6b+14=−b−7
Step 2: Add b to both sides.
6b+14+b=−b−7+b
7b+14=−7
Step 3: Subtract 14 from both sides.
7b+14−14=−7−14
7b=−21
Step 4: Divide both sides by 7.
b= -3
Answer:
The sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .
The lawn area of uniform width can be written as follows:
A = (40 + 2x) * (35 + 2x) - (40) * (35)
Where,
x: width of the lawn
Substituting the value of the area we have:
316 = (40 + 2x) * (35 + 2x) - (40) * (35)
Rewriting:
316 = 1400 + 80x + 70x + 4x ^ 2 - 1400
Rewriting we have:
4x ^ 2 + 150x - 316 = 0
Solving the polynomial we have:
x1 = - 79/2
x2 = 2
Taking the positive root we have that the grass width des:
x = 2 yards
Answer:
The width of the lawn that surrounds the garden is:
x = 2 yards
