Answer:
Angles 7 and 8 are supplementary because they are a pair of adjacent angles that form a straight line.
Supplementary angles add up to 180°
Answer:
24−(−37) = 61
Step-by-step explanation:
Step-by-step explanation:
we cannot "solve" it, as we don't know anything about y or k, by we can "simplify" it.
as multiplication is commutative, we can split the whole expression into multiplication factors, simplify each factor, and then out the results back together as one large multiplication.
and remember for the simplification of exponents, multiplying terms with the same base means adding the exponents, dividing terms with the same base means subtracting the denominator exponent from the numerator exponent.
and a^-b = 1/(a^b).
so, we could see the main expression as
(-4/-8)×(y⁶/y⁹)×(k²/k⁵)
(-4/-8) = 1/2
(y⁶/y⁹) = y^-3 = 1/y³
(k²/k⁵) = k^-3 = 1/k³
because e.g.
y⁶/y⁹ = (y×y×y×y×y×y)/(y×y×y×y×y×y×y×y×y) = 1/(y×y×y)
putting the results back together gives us
1/2 × 1/y³ × 1/k³ = 1/(2y³k³)
Answer:
Step-by-step explanation:
The volume v in cubic feet of a shipping box is modeled by the polynomial function V(x)=x^3-2x^2-19x+20, where X is the length of the box. To determine if x = - 2 is not a zero of the polynomial function, we would substitute x = - 2 into the polynomial function, V(x)=x^3-2x^2-19x+20. If the result is not zero, it means that x = - 2 not a zero of the polynomial function. Therefore
(-2)^3-2(-2)^2-19(-2)+20
= - 8 - 8 + 38 + 20 = 42
Since 42 is not equal to 0, then x = - 2 not a zero of the polynomial function.
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