They are to make variables.
The distance between (-11, -20) and (-11,5) is 25. Since both of the x values are the same, we know that they are both on the same x line. For the y values, -20 and 5, Their difference from each other is 25. Therefore, the distance between those coordinates are 25.
Answer:
23 marbles
Step-by-step explanation:
3 groups of 7 = 21 +2 = 23
4 groups of 5 = 20 +3 = 23
The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let
and
be, respectively, the number of girls and boys.
We know that
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system

We can use the first equation to substitute in the second

And then solve for
:

For the second problem, let
and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
Answer:
No.
Step-by-step explanation:
To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:

Substitute 0 for x and 0 for y:

Multiply:

Subtract:

So, (0,0) is <em>not</em> a solution.
And we're done!