Answer:
523.33 mm³
Step-by-step explanation:
The general formula for the volume of a sphere is:
V = 
The radius for the given sphere is 5mm, so plugging that value into the equation and using 3.14 for π:
V = 
V ≈ 523.33 mm³
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
B
Step-by-step explanation:
B
x - 4 squared provides 2 real zeros that are the same. These two are not distinct.
The other two come from x^2 - 7x + 10 which has a discriminate of
sqrt(7^2 - 4*1*10) = sqrt(9) = +/- 3 leading to something real and different.
Answer:
No
Step-by-step explanation:
Multiply width (106) x length (19) = 2014. Tim needs 14 more flowers.
From the text of the task we can write the equation:
