Answer:
18.8
Step-by-step explanation:
the distance between E and F is 6
the distance between F and G is 5
the distance between E and G is 7.8102
add them all together to get 18.8102
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
(-1,-1)(-3,-3)
slope = (-3 - (-1) / (-3 - (-1) = (-3 + 1) / (-3 + 1) = -2/-2 = 1
Answer: [-1/8, infinity) , {x | X greater than or equal to -1/8}
Step-by-step explanation:
Domain is what x can be. Thus, in the function f(x), we place limits such as x cannot make the square root a negative number because then it would not be a real number. Thus 8x+4-3 can be simplified to 8x+1. Setting this to 0, we get 8x+1=0 which solves out to x cannot equal -1/8. Thus, x can equal and be greater than -1/8.
5 x 11.75 = $58.75 (admission ticket)
5 x 5 = $25.00 (box lunch)
$25.00 + $58.75 = $83.73 (total)
