Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
Answer:
The third one
Step-by-step explanation:
Its asking if its positive in the interval [-3, -2]
Which means you only look at the graph from -3, -2 on the x axis and we are looking see which one is positive in that space. And by positive it means going up in a positive direction. Only the third one does this.
2x6=12
3x6=18
12+18=22
2x3=6
2x6=12
6+12=18
-x^2 -2x-6
Multiply everything by negative one to make X positive
X^2+2x+6
Use quadratic formula
-2+-sq rt of 2^2-4(1)(6) / 2
-2+-sqrt of -20 /2
-2+ 2i/2. -2-2i/2
-2+i. -2-i
Answer: 
Step-by-step explanation:
Properties of logarithm:
Consider,
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