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: 60 lbs?
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Answer:
5.08 cm
Step-by-step explanation: You dont have the choices for answers.
2inches is also 1/6 of a foot, etc
Answer:
Step-by-step explanation:
Let
p ----> the price of a watermelon in dollars
w ---> the weight of a watermelon in pounds
In this problem we have a proportional relationship
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
The value of the constant of proportionality k is the same that the unit rate
Find out the unit rate
Divide the total cost by the total weight

substitute in the equation