Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.
Answer: The slope would be 1/3
Step-by-step explanation:
The point goes up one unit, adding 1 to 3, making 4, and the point goes three units right, adding 3 to 2, making 5.
Answer:

Step-by-step explanation:
Using the rules of radicals
= 
×
⇔ 
Given
= 
Simplifying the radicals
= 
= 
=
×
= 7
and
= 8
The simplified radical is

a. 7x + 52 (2x + 5x) (40 + 12)
b. 13x + 142 (2x+5x+6x) (40 + 12 - 10)
c. 246 (16 + 40 + 40 + 100 + 12 + 48 - 10)