Answer:
x = -9
Step-by-step explanation:
2x + 8( x + 3 ) = 3( x - 13 )
Dstribute;
2x + 8 ( x + 3 ) = 3 ( x - 13 )
2x + ((8)(x)) + ((8)(3)) = ((3)(x)) - ((13)(3))
2x + 8x + 24 = 3x - 39
Combine like terms;
2x + 8x + 24 = 3x - 39
10x + 24 = 3x - 39
Inverse operations;
10x + 24 = 3x - 39
-3x -3x
7x + 24 = -39
-24 -24
7x = - 63
/7 /7
x = -9
Answer:
splitting it evenly among all three sides gives us the greatest area. ( for example if we had to split the number 10 into 2 and find the greatest area, out of all possible ways 5*5 is the greatest). Two sides have to be equal since it's a rectangle.
918/3=306
So we can make the two equal sides 306, and the longer side 308 which makes sure that we have the greatest area.
306 * 308
Step-by-step explanation:
Answer:

Step-by-step explanation:
First we solve for the biggest triangle: using the Pythagorean theorem, (a^2 + b^2 = c^2) we put in the sides,
9^2 + b^2 = 10^2.
solve, 81 + b^2 = 100
then we subtract 81 from both sides. b^2 = 19, and the answer is
.
Now we know what the third side is, which is the hypotenuse for the smaller triangle, so we use the Pythagorean theorem again.
4^2 + x^2 = 19.
Solve
16 + x^2 = 19
Subtract 16 from both sides
x^2 = 19
and finally, we take the square root of both sides
x = 
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