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:
I have proven m is 10. have a good day and give brainliest if possible.
Answer:
whats the question? its a little blurry and hard to see
Step-by-step explanation:
The surface area is 54 square inches
For the red line, we have:
gradient (

) = 1/3
y-intercept = 3
Equation of straight line is given by

, where

is the gradient and

is where the line intercept the y-axis
So we have,

The shaded part is above the line, hence the first inequality is

The black line, we have
gradient,

= 3
y-intercept = -2


, rearranging gives

The shaded region is to the right of the line, hence the inequality is

Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>