Answer:
The distance between points T and U is 12 units.
Step-by-step explanation:
Let and . The distance between points T and U represents a straight line, whose is length () can be determined by Pythagorean Theorem. That is:
(1)
If we know that , , and , then the length between those coordinates is:
The distance between points T and U is 12 units.
Answer:
y=4/3x+19/3
Step-by-step explanation:
perpendicular = slope is the negative reciprical.
plug in the point (-4,1) for (x,y)
1(y)=4/3(-4)+b
1=-16/3+b
b=19/3
Answer:
-(3p +1) (p + 1); 5c(5c - 6 d); -9b(9b + 2a²)
Step-by-step explanation:
p² – (2p + 1)²
= p² - (4p² + 4p + 1)
= p² - 4p² - 4p - 1
= -3p² - 4p - 1
= -(3p² + 4p + 1)
= -(3p +1) (p + 1)
(5c – 3d)² – 9d²
= 25c² - 30cd + 9d² - 9d²
= 25c² - 30cd
= 5c(5c - 6 d)
a⁴ – (9b + a²)²
= a⁴ - (81b² + 18a²b + a⁴)
= a⁴ - 81b² - 18a²b - a⁴
= -81b² - 18a²b
= -9b(9b + 2a²)
Answer:
y= 1/2x+2
Step-by-step explanation:
I hope it's right!