If two lines are perpendicular, the statement that must be true is : D. The product of their slopes is -1
Lets say that a line has a slope of 2, the line which perpendicular to that line would have a slope of -1/2
Which means, the product would be 2(-1/2) = -1
hope this helps
The type of limacon graphed is a convex.
Answer:
82.47
Step-by-step explanation:
area of fountain: 201.06(see photo 1)
area of fountain and walkway:283.53(see photo 2)
area of walkway:82.47(subtract fountain area from fountain and walkway)
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Step-by-step explanation:
You can find the amount of students each vehicle can carry by representing the two scenarios in equations.
You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.
High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.
High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.
Now, represent these in equations:

We can use substitution to solve this system:
can be rewritten as
after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Answer:
times you have to remove a red marble
Step-by-step explanation:
8 /30/=3.75
=3.75