Answer:
I think the answer is C
Step-by-step explanation:
Answer: Therefore, the age of my sister is 13 years.
Step-by-step explanation:
Let the age of my sister is x yeas.
Then according to question..
24 = 2x -2
Or, 2x=26
or, x= 26/2
x= 13
Answer: 6, 8, 10, 12
Step-by-step explanation:
Given that x is the number, the 4 numbers would be
x, x + 2, x + 4, x + 6
so the two smallest numbers would be x and x + 2
and the two largest numbers would be x+4 and x+6
now set up an equation
x(x+2) = (x+4)(x+6) - 72
now FOIL
x^2 + 2x = x^2 + 6x + 4x + 24 - 72
combine like terms
x^2 + 2x = x^2 + 10x -48
subtract x^2 from both sides
2x = 10x - 48
subtract 2x from both sides
0 = 8x - 48
add 48 to both sides
48 = 8x
divide both sides by 8
6 = x
so the four numbers, x, x+2, x+4, and x+6 when you plug in x are equal to
6, 8, 10, 12
What are the following fractions
bearing in mind that "a" is the length of the traverse axis, and "c" is the distance from the center to either foci.
we know the center is at (0,0), we know there's a vertex at (-48,0), from the origin to -48, that's 48 units flat, meaning, the hyperbola is a horizontal one running over the x-axis whose a = 48.
we also know there's a focus point at (50,0), that's 50 units from the center, namely c = 50.
![\bf \textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ \textit{asymptotes}\quad y= k\pm \cfrac{b}{a}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bhyperbolas%2C%20horizontal%20traverse%20axis%20%7D%20%5C%5C%5C%5C%20%5Ccfrac%7B%28x-%20h%29%5E2%7D%7B%20a%5E2%7D-%5Ccfrac%7B%28y-%20k%29%5E2%7D%7B%20b%5E2%7D%3D1%20%5Cqquad%20%5Cbegin%7Bcases%7D%20center%5C%20%28%20h%2C%20k%29%5C%5C%20vertices%5C%20%28%20h%5Cpm%20a%2C%20k%29%5C%5C%20c%3D%5Ctextit%7Bdistance%20from%7D%5C%5C%20%5Cqquad%20%5Ctextit%7Bcenter%20to%20foci%7D%5C%5C%20%5Cqquad%20%5Csqrt%7B%20a%20%5E2%20%2B%20b%20%5E2%7D%5C%5C%20%5Ctextit%7Basymptotes%7D%5Cquad%20y%3D%20k%5Cpm%20%5Ccfrac%7Bb%7D%7Ba%7D%28x-%20h%29%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
