<span><span>1.
</span>Using properties of logarithm</span>
2
logbq + 8 logbt
= logb
(q2) + logb (t8)
= logb
( q2t8)
<span><span>2.
</span>Using the properties of logarithm</span>
4 log x – 6 log (x + 2)
= log x4 – log (x + 2)^6
= log ( x4/ ( x + 2)^6)
<span>So the answer is not in the choices</span>
Y=3(x²+10x)+71
Now we need to complete square for (x²+10)
It should look like this
a²+2ab+b²=(a+b)²
y=3(x²+2*5x+5²)-3*5²+71
y=3(x+5)²-75+71
y=3(x+5)²-4
Vertex has coordinates x=-5, y=-4.
Vertex in this case is the extreme value (-5,-4)
Answer: The required equation be
Step-by-step explanation:
Since we have given that
Let the number of meeting rooms a hotel has be m
Number of social chairs each meeting room has =325
So, total number of chairs m number of meeting rooms will have
Let the number of chairs be c
According to question, we get
Hence, the required equation be
Point D would be translated to the point (0, 5).
<h3>What is translation?</h3>
Translation is an aspect of geometry that moves plane shapes from one point to another along the cartesian coordinates without changing the form in which the shape exists.
Analysis:
Point D is at (0,0) if it is translated up from 0,0 the point D moves 5 units along the y-axis while x axis remain same. So that the new point of D becomes (0,5)
In conclusion, the point D will land at point (0,5)
Learn more about translation: brainly.com/question/12861087
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Answer: a=3 & b=-2
Step-by-step explanation: