Answer:
<h2>y = 1/5x + 4</h2>
Step-by-step explanation:
We need to find the equation of the line parallel to the given line. To do this, we first need to understand what parallel lines are.
Rule 1: Parallel lines are two lines that never cross.
Let's solve!
To solve, we need to know what the slope of the line should be as we are already given the point it should pass through. to do this, we need to use a rule.
Rule 2: The slopes of parallel lines are always the same.
Slope = change y / change x
-4 - -3 (-4 + 3) = -1
-5 - 0 = -5
Slope = 1/5
Now, we can construct our equation
y = mx + b
y = 1/5x + 4
Since none of the answers are this, I assume you meant perpendicular instead. In that case, the answer would be, since the slope would be an opposite inverse of the original line, -5x + 4.
I'm always happy to help :)
Answer:
x = -2, y = 3.
as an ordered pair it is (-2, 3).
Step-by-step explanation:
y= 2x + 7
y= -4x - 5
As both right hand expression are = y we have:
2x + 7 = -4x - 5
6x = -12
x = -2
Substitute for x in equation 1:
y = 2(-2) + 7 = 3.
if the sphere has a diameter of 5, then its radius is half that, or 2.5.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}](https://tex.z-dn.net/?f=%5Cbf%20%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%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%282.5%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B62.5%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%2065.44984694978736%5Cimplies%20V%3D%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B65.45%7D)
Answer:
Ratio 2:3 I think :)
Step-by-step explanation:
