Answer: 2t + -8
Step-by-step explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is change this minus to plus a negative.
Now we can distribute or multiply this 2 times
each of the terms inside the set of parentheses.
So we get 2(t) + 2(-4) and this simplifies to 2t + -8.
2t + -8 is the same thing as 2t -8.
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if is half the perimeter of the triangle whose sides are
, the area
is given by
In our case, so the formula becomes
Answer:
Step-by-step explanation:
At <em>y</em>(0) = 10, when <em>t</em> = 0, <em>y</em> = 10.
Hence, the solution is