Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
It would be true because 10,000-99,999=-89999 -89999<0 is true
The answer to this problem would be B. Here are the steps:
So, the dimensions of the prism are: 9,3, and 7.
Multiply them all: 9×3×7=189
Lastly: you multiply 189×1/3=63 yd^3
Incase you are wondering, since each cube is 1/3 in length you multiply that by the volume of the prism.
Hope this helps (:
Answer:
D.
Step-by-step explanation:
