Answer:
Step-by-step explanation:
A(-6, 2), B(6,-3) and C(-6, -3)
AB² = (x₂ - x₁)² + (y₂ - y₁)²
= ( 6 -[-6])² + ( -3 -2)²
= ( 6 + 6)² + ( -3 -2)² = 12² + (-5)² = 144 + 25 =169
AB = √169 = 13 units
BC² = ( -6 -6)² + ( -3 - [-3])² = (-6-6)² + (-3 +3)²
= (-12)² + 0 = 144
BC = √144 = 12 unis
CA² = (-6 - [-6])² +(-3-2)² = (-6 + 6)² + ( -3-2)²
= 0 + (-5)² = 25
CA =√25 = 5 units
length of the hypotenuse of a right triangle = 13units
∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Answer:
Step-by-step explanation:
Using the power of power rule (multiply the exponents)
× 
×
When exponents are multiplied, add the answers:
x ^ ( 4/9 + 2/9 )
x ^ ( 6/9 )
x ^ ( 2/3 )
Answer:
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Step-by-step explanation:
I believe the answer is 6 but i’m not for sure
