well, Java has 90 pets total, 5/6 of those are cats, namely (5/6)*90 are cats.
we also know that 4/5 of her cats are calico, namely
![\bf \stackrel{\frac{5}{6}\textit{ of a total of 90}}{\left( \cfrac{5}{6}\cdot 90 \right)}\implies \cfrac{5\cdot \stackrel{15}{~~\begin{matrix} 90 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 75 ~\hfill \stackrel{\frac{4}{5}\textit{ of 75 cats}}{\cfrac{4}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \stackrel{15}{~~\begin{matrix} 75 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies 60](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Cfrac%7B5%7D%7B6%7D%5Ctextit%7B%20of%20a%20total%20of%2090%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B5%7D%7B6%7D%5Ccdot%2090%20%5Cright%29%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%20%5Cstackrel%7B15%7D%7B~~%5Cbegin%7Bmatrix%7D%2090%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B~~%5Cbegin%7Bmatrix%7D%206%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%5Cimplies%2075%20~%5Chfill%20%5Cstackrel%7B%5Cfrac%7B4%7D%7B5%7D%5Ctextit%7B%20of%2075%20cats%7D%7D%7B%5Ccfrac%7B4%7D%7B~~%5Cbegin%7Bmatrix%7D%205%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%5Ccdot%20%5Cstackrel%7B15%7D%7B~~%5Cbegin%7Bmatrix%7D%2075%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%2060)
Answer:
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
x=-2 is a vertical line and it doesn't have a proper slope to describe
Answer:
depends on who it is lol
Step-by-step explanation:
Answer:
y = -
x - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)
m =
= -
, then
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 5 ) , then
- 5 = -
+ c ⇒ c = - 5 +
= - 
y = -
x -
← equation of line