The value of c in the given triangle described by the coordinates is; 5.
<h3>
What is the value of c if the triangle is a right triangle?</h3>
Since the side, c is one of the sides of the right triangle in discuss, it follows therefore that from Pythagoras theorem;
hypothenuse² = opposite² + adjacent²
where, c = hypothenuse,
a= opposite/perpendicular,
b = adjacent/base.
C² = 3² + 4²
C² = 9 + 16
C = √25
C = 5.
Ultimately, the value of the hypothenuse, c is; 5.
Read more on Pythagoras theorem;
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86.34 minutes was used to cool the soup to 80 °F
<h3>
</h3><h3>
How can we calculate this using Newton's Law of Cooling?</h3>
Newton's Law of Cooling can be computed as :
The initial temperature is been represent by T0 which is ( 100 F)
The temperature of surrounding is been given as (69 F)
The final temperature is been given as T
t = time
we were told that the temperature of the soup move to 95 F, using 15 minutes.
Hence, T = 95 F
t = 15 min
Then we can input the values into the above equation as :
if we simplify this , we have
Then 
Then we can find the value of k as :
k= -0.012
Then we have the new equation as
Then at T=80F
we have,
t=86.34
Then if we simplify , we have t=86.34 which implies that 86.34 minutes was used to cool the soup to 80 °F
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Answer:
9x^2 - 10x -4
Step-by-step explanation:
It is set up like this
9x^2 - 8x
- (x-2)2
First solve (x-2)2
the answer is (2x-4)
so now you can do this instead
9x^2 - 8x
- 2x - 4
----------------------------------
9x^2 - 10x +4
9x^2 minus zero is 9x^2
-8x-2x is -10x
0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive
A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus
like this
9x^2 - 8x
+ -2x + 4
----------------------------------
9x^2 - 10x +4
