Only 3(a−b) and 3a−3b are equivalent
Further explanation:
We have to evaluate each expression to evaluate if the expressions are equivalent or not.
So,
<u>For 3(a−b)</u>
As we can see that 3(a-b) results in 3a-3b so these are equivalent
<u>For 2a(2+b)</u>
As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent
Hence,
Only 3(a−b) and 3a−3b are equivalent
Keywords: Equivalent expression, Polynomials
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You can do this by completing the square
x^2 - 14x + y^2 + 8 = 16
(x - 7)^2 - 49 + (y + 4)^2 - 16 = 16
(x - 7)^2 + (y + 4)^2 = 16 + 16 + 49 = 81
so the center is at (7 , -4) and radius = sqrt81 = 9
Answer:
Sin, Cos, Tan and others are used to calculate the ratios of the sides of a right angled triangle by taking a certain angle as the angle of reference.
On the other hand, Sin‐¹, Cos‐¹ and Tan-¹ are used to find the reference angle used to calculate the ratio of sides.
For this question,
we need to find which option should used to calculate the angle the slide makes with the vertical support.
So the option will have to be either A, C or E.
here, the base is 2.81m and hypotenuse is 3.64m.
we know, Cos = base / hypotenuse
So the angle is given by Cos-¹(2.81/3.64)
Option C
