Answer: 8 and 9 or -9 and -8
Step-by-step explanation:
Let 
be the first of the two integers. Then, since the numbers are consecutive, 
is the other integer. We then know that the sum of the squares of 
and is equal to 145. So, now we have the equation
which can be expanded and simplified to
which then gives us the quadratic equation
This can then be factored into
Which can be simplified further into
So either 
or 
. This gives us two solutions: 8 and 9 or -9 and -8.
Hope this helps! CHEERS!
Answer:
f(t) = 4 - 3t + 2t^2
Step-by-step explanation:
Given:
f(t) = a + bt + ct^2
Differentiate w.r.t. "t"
f'(t) = b + 2ct
1) f(1) = 3
a + b +c = 3...........1)
2) f(2) = 6
a + 2b + 4c = 6.........2)
3) f'(1) = 1
b + 2c = 1 ...............3)
Solving above three simultaneous equations:
a = 4
b = -3
c = 2
Therefore equation becomes:
f(t) = 4 + (-3)t + (2)t^2
I'm sorry try to reread what you learnt in class
I'm not up to this yet
The area of the rectangle would be 375
