Answer:
Step-by-step explanation:
c + 6 < -20
Subtract 6 from both side
c +6 -6 < -20-6
c < -26
So value of c should be less than -26. Value of c = { - ∞ ...... -28, - 27 }
Eg:
If c = -27
-27 + 6 = - 21 . -21 is less than -20
<u>Answer</u>
0
<u>Explanation</u>
(2m)/(2m+3)-(2m)/(2m-3)=1
Simplifying the left hand first
(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)
(4m²-6m-4m²-6m)/(4m²-9)
= (-12m) / (4m²-9)
Now this equet to 1
(-12m) / (4m²-9) = 1
-12m = 4m²-9
4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.
4m²+ 12m -9 =0
m² + 3m + (3/2)²= 9/4 + 9/4
(m + 3/2)² = 18/4
m = √18/2 - 3/2 or m = -√18/2 - 3/2
= 0.621 = -3.621
So we can say that the equation has NO extraneous solutions.
Answer = 0
Answer:
x = 74°
Step-by-step explanation:
The measure of the inscribed angle x is half the measure of its intercepted arc, that is
x = 
× 148° = 74°
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
<span>Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
Therefore the answer is the third choice or letter C.
I hope my answer has come to your help. God bless and have a nice day ahead!
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