Answer:
B.Her Mortgage
Step-by-step explanation:
The net worth is the value that left after deducting the liabilities from the assets
Here as per the given options, the original sale price of the car, saving account balance and the value of her 401(k) plan is an asset
While the liabilities is the mortgage that took by her as she has to repay the amount taken by the financial insititution. It is her responsibility to pay back all the dues to the bank
Therefore the option B is correct
You can solve this since you can develop 3 equations for your 3 unknowns. Each equation is made using the Pythagorean theorem:
1) x^2 = y^2 + 16^2
2) z^2 = y^2 + 4^2
3) (16 + 4)^2 = z^2 + x^2
Simplifying the above we get:
1) x^2 = y^2 + 256
2) z^2 = y^2 + 16
3) 400 = z^2 + x^2
We want to solve for z. There are several ways but an easy one is with substitution. Start by rearranging 2) and 3) like this:
2’) y^2 = z^2 - 16
3’) x^2 = 400 - z^2
Now we have expressed x and y in terms of z. Plug these values into the unused equation, 1), to solve for z:
1’) 400 - z^2 = z^2 - 16 + 256
2z^2 = 160
z^2 = 80
z = √80
z = √(16)(5)
z = 4√5
Answer:
y = 6.5
Step-by-step explanation:
When triangles are similar, we can set up a proportion to compare the sides. I will have the "left" side on the bottom of the fractions, and the side I am solving for on the top.
[Cross multiply]
12y = 78
y = 6.5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
X² + y² - 10 x - 12 y + 36 = 0
( x² - 10 x + 25 ) + ( y² - 12 y + 36 ) - 25 - 36 + 36 = 0
( x - 5 )² + ( y - 6 )² = 25
( x - 5 )² + ( y - 6 )² = 5²
Answer:
The center: ( 5, 6 ), the radius: r = 5
