Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
Answer:
(x) = 1/2x-3/2
Step-by-step explanation:
The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.
We have a fraction of two integers, so 25/9 is rational. A rational number is any fraction of two integers (as long as the denominator is not zero).
Answer:
x = 128
Step-by-step explanation:
x and 128 are vertical angles
Vertical angles are equal
x = 128
A terminating decimal has digits that end. They do not go on forever. For example, 0.125 has only 3 decimal digits and does not keep on going like 1/3
A rational number is a number that canbe expressed as p/q where p and q are both integers. But q cannot equal to 0.
All terminating decimals are rational numbers, but not all rational numbers are terminating decimals. For example 1/4, which equals to 0.25 is both a rational number and a terminating decimal. On the other hand, 1/3 is a rational number but is not a terminating decimal.
