Answer:
-176.........................
Answer:
frdg
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Solve for x:
3 (2 x - 1) = 7 x + 5 x + 3
Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:
3 (2 x - 1) = (5 x + 7 x) + 3
5 x + 7 x = 12 x:
3 (2 x - 1) = 12 x + 3
Expand out terms of the left hand side:
6 x - 3 = 12 x + 3
Subtract 12 x from both sides:
(6 x - 12 x) - 3 = (12 x - 12 x) + 3
6 x - 12 x = -6 x:
-6 x - 3 = (12 x - 12 x) + 3
12 x - 12 x = 0:
-6 x - 3 = 3
Add 3 to both sides:
(3 - 3) - 6 x = 3 + 3
3 - 3 = 0:
-6 x = 3 + 3
3 + 3 = 6:
-6 x = 6
Divide both sides of -6 x = 6 by -6:
(-6 x)/(-6) = 6/(-6)
(-6)/(-6) = 1:
x = 6/(-6)
The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):
x = 1/(-1)
1/(-1) = -1:
Answer: x = -1
Answer:
2804 cm²
Step-by-step explanation:
<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>
- Trapezoid = 1/2*(14+32)*24 = 552 cm² each
- Bottom = 17*32 = 544 cm²
- Top = 14*17 = 238 cm²
- Right side = 17*24 = 408 cm²
- Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²
<u>Total area:</u>
552*2 + 544 + 238 + 408 + 510 = 2804 cm²