Answer:
(x + 6, y - 6).
Step-by-step explanation:
6 units to the right and 6 units down =
(x + 6, y - 6).
X^2 + 12x = -6
x^2 + 12 x + 6^2 = -6 + 6^2
(x + 6)^2 = - 6 + 36
(x +6)^2 = 30
In the first step I had to add 6^2 = 36. The answer is option B. 36.
Answer:
a number plus 14
fourteen more than a number
a number increased by 14
Step-by-step explanation:
The phrases which can be represented by the algebraic expression x + 14 are
Let x = the unknown number
a number plus 14
= x + 14
fourteen more than a number
= x + 14
a number increased by 14
x + 14
The answer is: 6/5
Here is why:
3x - 5y = -3
3(1) - 5y = -3
3 - 5y = -3
3 - 5(6/5) = -3
-3 = -3
if its diameter is 14, then its radius is half that or 7.
![\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D7%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20V%3D%5Ccfrac%7B4%5Cpi%20%287%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B1372%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Busing~%5Cpi%20%3D3.14%7D%7BV%5Capprox%201436.03%7D%20%5Cend%7Barray%7D)
