Por determinante:
5...1...1
1...0...1 = 0 --> se o determinante for igual a 0, os pontos estarão alinhados.
3...3...1
calculando: (5 x 0 x 1 + 1 x 1 x 3 + 1 x 3 x 1) - (1 x 0 x 3 + 1 x 1 x 1 + 3 x 1 x 5) =
0 + 3 + 3 - 0 - 1 - 15 =
6 - 1 - 15 =
5 - 15 = - 10 --> como não deu zero, os pontos não estão alinhados.
You find the lowest common denominator of both fractions, which in this case is 24.
1/6 is equivalent to 4/24 and 1/8 is equivalent to 3/24.
4/24 + 3/24 = 7/24
Answer:
credit gain by retailer is $2257.39
Step-by-step explanation:
Given data:
Retaile price 83 4/3 c or 84.33c
Let Discount rate 6/7
Discount amount = (6/7)% of 84.33 c = 0.7228 C
Net credit received = 84.33c - 0.7228c = 83.607c
Net credit received = 83.607 c
Item required = 2700
Total discount = 2700 × 83.0607 = 225739.44c
Total discount = $2257.39
credit received by retailer is $2257.39
Answer:
Either x≈ -1.12 or x ≈0.45
Step-by-step explanation:
Using the quadratic formula to solve this, we will follow the steps below;
First, write down the quadratic formula;
x = -b ±√b² - 4ac /2a
From the question, the equation given is: 6x²+4x−3=0
comparing the equation given withe standard equation ax² + bx + c=0
a= 6 b= 4 and c = -3
We can now proceed to insert the values into the formula;
x = -4 ±√4² - 4(6)(-3) /2(6)
x = -4 ±√16+72 /12
x = -4 ±√88 /12
Either x = -4+√88 /12
x ≈0.45
OR
x = -4 -√88 /12
x≈ -1.12
Either x≈ -1.12 or x ≈0.45
The first is (x + 3, y + 2)