H^2=x^2+y^2
35^2=29^2+y^2
y^2=35^2-29^2
y^2=384
y=√384
y≈19.60 m (to the nearest hundredth of a meter, or nearest centimeter)
x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation 
and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)
Now, factoring the term:
The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation, the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,
So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
Learn more about Solving Equations and checking extraneous solution at:
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Your answer should be B 10m because 4x10=40 and that's the bxh then you need to divided by 2 do it would be 20. And 20m^2 is your answer so B is your answer
Hello!
Find the cost of each individual item.
1.28 / 2 = 0.64
Each roll of tape costs $0.64.
0.87 / 3 = 0.29
Each notebook costs $0.29.
Each highlighter costs $1.59.
1.98 / 2 = 0.99
Each pen costs $0.99.
One roll of tape is $0.64, two notepads are $0.58 two highlighters cost $3.18, two pens are 1.98.
Add them up: .
0.64 + 0.58 + 3.18 + 1.98 = 6.38
ANSWER:
You would pay B. $6.38.
This sets up as a very commonly used proportion.
90 oz / 18.95 = 1 oz / x Cross multiply
90 x = 18.95 Divide by 90
x = 18.95 / 90
x = 0.21 dollars or 21 cents.
So each ounce of shampoo costs 0.21 dollars or 21 cents.
This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.
Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.
