Answer:
x = 76/15
Step-by-step explanation:
Solve for x:
-(3 x)/4 + 1/3 + 6 = x/2
Put each term in -(3 x)/4 + 1/3 + 6 over the common denominator 12: -(3 x)/4 + 1/3 + 6 = -(9 x)/12 + 4/12 + 72/12:
-(9 x)/12 + 4/12 + 72/12 = x/2
-(9 x)/12 + 4/12 + 72/12 = (-9 x + 4 + 72)/12:
(-9 x + 4 + 72)/12 = x/2
Grouping like terms, -9 x + 4 + 72 = (72 + 4) - 9 x:
((72 + 4) - 9 x)/12 = x/2
72 + 4 = 76:
(76 - 9 x)/12 = x/2
Multiply both sides by 12:
(12 (76 - 9 x))/12 = 6 x
(12 (76 - 9 x))/12 = 12/12×(76 - 9 x) = 76 - 9 x:
76 - 9 x = (12 x)/2
12/2 = (2×6)/2 = 6:
76 - 9 x = 6 x
Subtract 6 x from both sides:
76 + (-9 x - 6 x) = 6 x - 6 x
-9 x - 6 x = -15 x:
-15 x + 76 = 6 x - 6 x
6 x - 6 x = 0:
76 - 15 x = 0
Subtract 76 from both sides:
(76 - 76) - 15 x = -76
76 - 76 = 0:
-15 x = -76
Divide both sides of -15 x = -76 by -15:
(-15 x)/(-15) = (-76)/(-15)
(-15)/(-15) = 1:
x = (-76)/(-15)
Multiply numerator and denominator of (-76)/(-15) by -1:
Answer: x = 76/15
<span><u><em>The correct answers are: </em></u>
A) reflection
A) dilation.
<u><em>Explanation: </em></u>
To produce a <u>congruent figure</u>, the angle measures of the image and the side lengths of the image must be the same as the angle measures and side lengths of the pre-image. This means we cannot shrink, expand, or contract the figure; by definition those transformations change the size. This leaves <u>reflection.</u>
To produce a <u>similar, but not congruent, figure</u>, we must change the side lengths while keeping the angle measures preserved. Translations, reflections and rotations will move a figure but do not change the side lengths; <u>dilation</u> is the only choice that will change the side lengths.</span>
Answer:
please check explanation
Step-by-step explanation:
Here, we want to do a matching.
We shall be matching the given statements with the features we have on the graph
Hence we shall be looking closely at the graph to answer the questions.
The y-intercept is the point at which the graph touches the y-axis
And it was at -3 degrees celsius at the beginning of the day.
The temperature was above zero between 8am and 8pm. The matching statement is that it is increasing or decreasing interval
We can see that the graph rose from 8am before it finally comes to zero at 8pm
Positive or negative interval matches with it was getting warmer between 2am and 2pm.
While temperature was lowest at 2am, we can see a peak at 2pm.
Answer:
21
Step-by-step explanation:
30 - 9 +3
30 - 12
18
18 - 12=4
12/4 = -3
18 - -3
21