Answer:
The mid point of ST is (1,5) and ST = 10 units
Step-by-step explanation:
It is given that,
S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.
Let (x,y) be the mid point of ST. Using mid-point formula we get :
We have, x₁ = -3, x₂ = 5, y₁ = 2 and y₂ = 8
So,
(1,5) is the midpoint of ST.
Using distance formula to find ST as follows :
Hence, the mid point of ST is (1,5) and ST = 10 units.
Answer:
See below
Step-by-step explanation:
Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered. The attached image demonstrates an approach that simplifies the graph.
Enter the three equations and three inequalities separately into six DESMOS input boxes. Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time. Each pair represents one line of the function and limit for that function. Then find the intersection point for the values indicated in the second half of the equation.
One can also calculate the answers:
a) (-21,442)
b) (-4,-1)
c) (18,15.5)
d) (20,17)
