brianliest of 2 ppl answer

PS = 7

k = 9

Step-by-step explanation:

RS = PQ                   Given

3x  - 7 = x - 1            Substitute algebraic terms. Subtract x from both sides

3x-x - 7 = x - 1 - x    Combine

2x - 7 = - 1                Add 7 to both sides.

2x - 7+7 = -1+7         Combine

2x = 6                      Divide by 2

2x/2 = 6/2

x = 3

Length of PS = x - 1 + x + 3x - 7

Length of PS = 5x - 8

Length of PS = 5*3 - 8

Length of PS = 7

f(x) = k - x^2

x = 2

f(x) = 5  is the given point

5 = k - x^2      Substitute for x^2

5 = k - 2^2      Expand

5 = k - 4          Add 4 to both sides.

5+4=k-4+4      Combine

k = 9

4 students

Step-by-step explanation:

We know that p is the set formed by the students who play basketball and  q is the group formed by the students who play tennis, in this case we look for the group of students who play both sports. That is, we look for the intersection of the set p with the set q

In the Venn diagram shown, each set is represented by a circle and the area where both circles intersect represents the set formed by the intersection of p and q.

This diagram shows that the number of students who play tennis and play basketball is 4