Answer:
(8,9)
Step-by-step explanation:
Given



Required
Determine the 4th point
The coordinate point of a horizontal or a vertical rectangle is given as:
(x1,y1), (x2,y2), (x3,y3), (x4,y4)
Where:

So, we have:
--- 
---- 
---- 
Using the above equations:


Hence, the coordinate of the 4th point is:

M = - 1/2 should b the answer
Answer:
See below.
Step-by-step explanation:
The last step is incorrect. When we divide both sides by a negative the inequality is flipped. The answer is x < -1/2.
Also they omitted the other possibility that the expression in the vertical lines could be negative.
We also have the inequality
- 4x + 1 < - 3
-4x < -4
x > 1.
Answer:
It cooled 58.4 degrees
Step-by-step explanation:
T(t) = 68 + 144e ^(-.052t)
We want to find the value when t= 10
T(10) = 68 + 144e ^(-.052*10)
= 68 +85.611
T(10) =153.611
We also need to know
T(0)= 68 + 144e ^(-.052*0)
=68+144
=212
We want to know how much it cools
That would be the temperature at time 0 minus the temperature at time 10
T(0) - T (10)
212-153.611
58.389
To the nearest tenth
58.4 degrees