2x+6 is the base
Then the equation is logarithm of 144 on basis 2x + 6 = 2
Then [2x + 6]^2 = 144
Now expand the square binomial
4x^2 + 24x + 36 = 144
4x^2 + 24x + 36 - 144 = 0
4x^2 + 24x - 108 = 0
Divide by 4
x^2 + 6x - 27 = 0
Factor: (x + 9 ) (x - 3) = 0
x = -9 and x = 3
The only valid is x = 3, because x = -9 yields 2x + 6 = - 12 and the logarithm function cannot have negative basis.
Then the answer is x = 3.
Answer
equilateral
Step-by-step explanation:
rate and choose brainliest
The horizontal beams are what I like to think of as "rail road tracks". The metal portion of the tracks anyway. Notice how angle 2 and angle 8 are inside the tracks, so we consider them "interior angles"
Furthermore, they are on opposite or alternate sides of the transversal line. The transversal line is the non-parallel line that cuts through the "rail road tracks".
Put those two facts together and we get "alternate interior angles" as our final answer
Answer:
y = 2/3x - 7
Explanation:
First we must turn 3x + 2y = 6 to slope intercept form. In order to do this first subtract 3x on both sides of the equal sign, so we can get 2y by its self. Now we're left with 2y = -3x + 6 .
Next divide 2 from both sides to get y by its self. Now you got y = -3/2x + 3 (since 6 can be divided by 2 it's a 3 now) <u>Look above to see y= -3/2x +3 graphed</u>. ⤴⤴⤴
To find out the other equation we first need to know what its y-intercept is, and luckily for us we've already been given -3.
<u>Look above to see (6,-3) graphed</u>. ⤴⤴⤴
<u>Look above to see </u><u>both</u><u> </u><u>y = -3/2x + 3 </u><u>and</u><u> </u>
<u>y = 2/3x -7 graphed</u>. ⤴⤴⤴
This is a bit lengthy, but I hope you get it :)
