Yes, your work is correct.
The diagram does illustrate x²+6x+9=72. This is also represented by
(x+3)² = 72
We can take the square root of both sides:
When we evaluate this, the answers are x = -11.5 or x = 5.5.
The trick to solving this problem is to know and remember that the sum of all the interior angles of a triangle is always 180 degrees.
Thus, (6x+1) + (5x-17) + (9x-24) = 180.
20x = -40, so x = -2 (answer)
I need more information to figure out what you need
The answer is 4.7 x 10^-4
If you move the decimal to the right, the exponent will be negative. If you move it to the left, the exponent will be positive.
A. False
Why? Because you cut off the triangle. The measurements are 20 mm and 10 mm.
B. True
Why? Because 20*10 = 200
C. False
Why? Because the base is 6 since 26 - 20 is 6. The height is 4, not 6 because 10 - 6 is 4.
D. True
Why? Because like question C., the base is 6, and the height is 4. 6*4 is 24/2 = 12. If you don't get this, the formula for all triangles is b*h*1/2
E. True
Why? Because from questions B. and D., the area of the rectangle is 200 and the area of the triangle is 12. 200 + 12 = 210.
Hope this helped,
Loafly
