Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Answer:
18 and 52
Step-by-step explanation:
x + Y = 70
X - Y= 34 find the value of X interms of Y to find the answer:
X - Y= 34
X = 34 +Y
x + Y = 70
(34 + Y ) + Y = 70
34 + Y +Y = 70
2Y =70-34
2Y/2=36/2
Y = 18
x + 18 = 70
x=70 - 18
x= 52
check:
18 + 52= 70
52 - 18= 34
100 + x-4 +3x =180
x = 21
hope it help
Answer:
The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.
Step-by-step explanation:
Let's denote event as follows:
<em>A</em> = an Audi A8 car has a 2.0L engine.
<em>B</em> = an Audi A8 car has a 2.4L engine.
<em>C</em> = an Audi A8 car has a 2.8L engine.
<em>X</em> = an Audi A8 car failed emissions test taken within four years of purchase.
The information provided is:

The probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is:

Compute the probability of an Audi A*8 car failed emissions test taken within four years of purchase as follows:

Compute the value of P (B|X) as follows:

Thus, the probability that an Audi A8 car with 2.4L engine is selected given that the car failed emissions test taken within four years of purchase is 0.3589.