Answer:
5 units
Step-by-step explanation:
We can use the formula for finding the length or magnitude of line joining two points.
Length = √((x2-x1)² + (y2-y1)²)
The points joining the line are C (-1,4) and D (2,0)
Length = √((2+1)² + (0-4)²)
= √((3²) + (-4)²)
= √ (9+16)
= √25
= 5 units
Since T is the midpoint of PQ, this means that PT and TQ must be equal to each other. Make them equal to each other in an equation.
PT = TQ
4x + 2 = 7x - 7
- Subtract 2 from both sides.
4x = 7x - 9
- Subtract 7x from both sides.
-3x = -9
<u>x = 3</u>
- Now substitute 3 for x into PT.
PT = 4(3) + 2
<h3>PT = 14</h3>
(4+3)(7-4) if you want the products to multiply each other
4+3(7-4) if you want to use the distributive property and simply have 3 multiplied but the simplification of 7-4 which is 3
