Hello from MrBillDoesMath!
Answer:
x = 1/2 (1 +\- i sqrt(23))
Discussion:
x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)
1 \3x - 4 = (1/3)x - 4 (**)
(*) = (**) =>
(x^2)/3 -2 = (1/3)x - 4 => multiply both sides by 3
x^2 - 6 = x - 12 => subtract x from both sides
x^2 -x -6 = -12 => add 12 to both sides
x^2-x +6 = 0
Using the quadratic formula gives:
x = 1/2 (1 +\- i sqrt(23))
Thank you,
MrB
Answer:

Step-by-step explanation:
The side that is parallel to BC is EF
Find the slope of EF:

Easiest way is just put the formula in point-slope form and simplify.
Let's use point F, which is (6,2)

Simplify:

Add 2 on both sides:

Hope this helped
Answer:
Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.
Which of the following expressions could represent how much Leila pays in total for the model?
Step-by-step explanation:
The original price of the dinosaur model is "x" dollars
On top of that, the sales tax is 7% of the original price
Hence,
The total price would be the original amount PLUS the taxed amount
Original Amount = x
Taxed Amount = 7% of x
That is, 7% in decimal multiplied with "x".
7/100 = 0.07
0.07 * x = 0.07x
Total amount = x + 0.07x = 1.07x
The expression for total amount is 1.07x
Answer:
39420
Step-by-step explanation:
Multiply 2% by 365, then you get 7.3, multiply 7.3 by 3, then you get 21.9, then last step, multiply 21.9 by 1800$