It means that two people are friends, like two peas in a pod
This can be solved in two ways: With heavy tools or with just algebra.
What is your level? Have you studied calculus?
With pure algebra:
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity:
</span><span>h = −(16t2 - 36t - 5)
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36
Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25
16t^2 - 36t - 5 and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side
Getting long, just stay with me:
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25
h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25
We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
2........................................................<span>.</span>
Answer:
x = 3.5; perimeter = 59; area = 8
Step-by-step explanation:
isosceles means the two legs equal each other so use same expression later on
6x + 8 = 2x - 6
6x - 2x = -8 - 6
4x = -14
x = 3.5
plug x value in the first expression to find the two sides that are equivalent to each other
6(3.5) + 8
21 + 8
29
plug x value into the second expression (the base)
2(3.5) - 6
7 - 6
1
perimeter = side 1 + side 2 + side 3
perimeter = 29 + 29 + 1
perimeter = 59
area = base × height/2 or bh/2
first plug in x value into height expression
4x + 2
4(3.5) + 2
14 + 2
16
area = 1 × 16/2
area = 16/2
area = 8
