X - 3 = 7 (only solution is 10)
2x + 5 = 11 (only solution is 3)
7x - 1 = 27 (only solution is 4)
4x + 2 = -6 (only solution is -2)
Answer:
x = 2 ± 2 sqrt(5)i
Step-by-step explanation:
(x – 2)^2 + 20 = 0
Subtract 20 from each side
(x – 2)^2 + 20 -20=0 -20
(x – 2)^2 =- 20
Take the square root of each side
sqrt((x – 2)^2) =±sqrt(- 20)
x-2 = ±sqrt(- 20)
We know sqrt(ab) = sqrt(a) sqrt(b)
x-2 = ±sqrt(- 1) sqrt(20)
We know the sqrt (-1) = i
x-2 = ±i sqrt(4*5)
x-2 = ±i sqrt(4) sqrt(5)
Add 2 to each side
x-2+2 = 2 ±i sqrt(4) sqrt(5)
x = 2 ±i 2 sqrt(5)
x = 2 ± 2 sqrt(5)i
Answer:
Vol. of the composite figure is 189 m³
Step-by-step explanation:
Find the volume of the larger figure by mult. together its 3 dimensions:
V = (9 m)(8 m)(3 m) = 216 m³.
Next, find the volume of the "notch," which is (3 m)³, or 27 m³.
Finally, subtract the "notch" volume from the 216 m³ volume found earlier:
216 m³ - 27 m³ = 189 m³
Downstream 280mi/7 hours
(Speed =change in position/change in time)
40mi/hr
Back
280/14
20mi/hr
Answer:
Least to greatest: 2, 3, 1
Step-by-step explanation:
Square root of 8 over 2 is about 1.41 which makes it the least value
2 is obviously equal to 2 which puts it in the middle
Square root of 7 is about 2.64 which makes it the greatest value