Answer:
-22
Step-by-step explanation:
Due to order of operations rules, we must perform the subtraction inside parentheses first, getting:
-4 +(3)(-6)
Multiplication comes next:
-4 - 18
and the total value is thus -22.
Answer:

Step-by-step explanation:
Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:
<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>
- <u />

- Directrices ->

- Foci ->
where 

Since we are given our directrices of
and foci of
, then we can set up the directrices equation to solve for
:

Now we can determine
to complete our equation for the hyperbola:

Therefore, our equation for our hyperbola is 
9514 1404 393
Answer:
7x +5y = -5
Step-by-step explanation:
You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.
7x +5y = 7(-5) +5(6) = -5
The perpendicular line through (-5, 6) is ...
7x +5y = -5
Answer:
At 11:50
Step-by-step explanation:
1. Subtract the hours and the minutes separately
12: 20
<u>- 0</u>: <u> 30</u>
12: -10
2. If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.
12: -10
<u> - 1</u>: <u>+ 60
</u>
11: 50
You should remind PJ about her deliveries at 11:50.
The answer is 6 with a remainder of 4