Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.
Answer:
233.19 inch³
Step-by-step explanation:
Volume of prisms: Length * Width * Height
given for first prism: Length = 7 cm Width = 3.25 cm Height = 7 cm
given for second prism: length = 7 cm width = 3.25 height = 3.25
using the formula:
Total volume: prism 1 volume + prism 2 volume
Total volume: 7 * 3.25 * 7 + 7 * 3.25 * 3.25
: 159.25+ 79.9375
: 233.1875 inch³
: 233.19 inch³ .........rounded to nearest hundredth
Answer:
(-6, 4.5)
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
(3.5 ÷ 100) × 400 = 14