Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
Answer:
15.7
Step-by-step explanation:
Answer:
not congruent, they must have 3 equal sides and 3 equal angles. 72+38= 110, which means the last angle is 70°
Let
v-------> <span> the volume of a sphere
s-------> t</span><span>he surface area of the sphere
r------> </span><span>the radius of the sphere
we know that
v=(4/3)*pi*r</span>³-----> v=(r/3)*4*pi*r²------> equation 1
and
S=4*pi*r²-----> equation 2
substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s
the answer is
the equation that <span>represents the relationship between these three measures
</span> v=(r/3)*s
Answer:
105 is the least common denominator
Step-by-step explanation:
Since 7, 5 and 3 are all prime.
LCM would be 7×3×5 = 105