Answer:
Expand:
x^2+7x-2x-14
Answer:
x^2+5x-14
Step-by-step explanation:
8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = <u>-(-20) +/- √((-20²) - 4(8)(-36))</u>
2(8)
x = <u>20 +/- √(400 + 1152)</u>
16
x =<u> 20 +/- √1552</u>
16
x = <u>20 +/- √(16 × 97)</u>
16
x = <u>20 +/- √16 √97
</u> 16<u>
</u>x = <u>20 +/- 4 √97
</u> 16
x = <u>20 +/- 4(9.848857802)</u>
16
x = <u>20 +/- 39.39543121</u>
16
x = <u>20 + 39.39543121</u> x = <u>20 - 39.39543121</u>
16 16
x = <u>59.39543121</u> x = <u>-19.39543121</u>
16 16
x = 3.71221445 x = -1.212214451
<u />
It could be 443, try simplifying to the nearest hundreaths, hope this helps!
Answer:
1414 kL
Step-by-step explanation:
The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.
<h3>Moat area</h3>
The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...
C = πd = π(45 m) = 45π m
The area is this length times the width of the moat:
moat area = (45π m)(5 m) = 225π m²
<h3>Moat volume</h3>
The volume is the product of the area and the depth of the moat:
V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³
1 cubic meter is 1000 liters, 1 kiloliter.
The volume of the moat is about 1414 kL.
Go on photomath and than scan the question and it’ll show you the work and everything