One rule of logs is when you add logs, u can combine the parentheses by multiplying so..
log(10a) + log(100a)
log(10a × 100a). now multiply
log(1000a^2)
hope this helps C:
Answer:
90909090909090909090909
Step-by-step explanation:
9/10 is equivalent to 90/100 and the answer under mine or above or the other answer should be reported. They got points for a question they did not answer correctly.
Answer:
Solution : ( - 8, - 5π/3 )
Step-by-step explanation:
There are four cases to consider here, the first two with respect to r > 0, the second two with respect to r < 0. For r < 0 we have the coordinates ( - 8, 60° ) and ( - 8, - 300° )
. - 300° in radians is - 5π/3, and hence our solution is option d. But let me expand on how to receive the coordinates. Again r is the directed distance from the pole, and theta is the directed angle from the positive x - axis.
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So when r is either negative or positive, we can tell that this point is 8 units from the pole. Therefore - r = - 8 in both our second cases ( we are skipping the first two cases for simplicity ). For r < 0 the point will lay on the ray pointing in the opposite direction of the terminal side of theta.
Our first coordinate is ( - 8, 60° ). Theta will be 2 / 3rd of 90 degrees, or 60 degrees, for - r. Respectively the remaining degrees will be negative, 360 - 60 = 300, - 300. Our second point for - r will thus be ( - 8, - 300° )
. - 300° = - 5π/3 radians, and our coordinate will be ( - 8, - 5π/3 ).
Answer:
Refer to the attachment for the labelling of the triangles.
In △ABC & △PQR,
∠A = ∠R (equal pair of angles)
∠B = ∠Q (equal pair of angles)
AC = PR (equal pair of sides)
•°• △ABC ≅ △RQP (Angle-Angle-Side congruence property → AAS property)
Hope it helps ⚜