Answer:
Option A is correct.
Step-by-step explanation:
The first step in the construction of a square inscribed in a circle is to draw a diameter of the circle.
Then we have to draw perpendicular bisector of the diameter using a compass.
Therefore, the perpendicular bisector will be another diameter of the circle and both the diameters will meet at the center of the circle.
Now, join the points with straight lines in order where the two diameters meet the circle. And finally, we will get a square inscribed in the circle.
Hence, option A is correct. (Answer)
Answer:
B 
Step-by-step explanation:
Event A = 2
Event B = 3
Ian and Ella play both so that would add 2 more people.
Total who play soccer or basketball = 7
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Total amount of people who took the survey = 10
First, you add like terms. In this case, the like terms are 6 and 3.
4x + 6 + 3 = 17
4x + 9 = 17
Then, subtract 9 on each side:
4x + 9 - 9 = 17 - 9
4x = 8
Then divide by 4 on each side to get the x by itself:
4x/4 = 8/4
x = 2
Plan A costs a total of $95 since it says $95 for unlimited talk and text.
Plan B:
(.10 x 800) + (.05 x 1000)
The (.10 x 800) represents 10 cents per talk minute for 800 minutes.
The (.05 x 1000) represents 5 cents per text message for 1000 text messages.
Solve:
.10 x 800 = 80
.05 x 1000 = 50
80 + 50 = 130
This means Plan B will cost him $130 under these conditions.
Plan C:
20 + ((.05 x 800)+(.05 x 1000))
The 20 + represents a flat rate of $20 per month.
The (.05 x 800) represents 5 cents per call minute.
The (.05 x 1000) represents 5 cents per text.
Solve:
.05 x 800 = 40
.05 x 1000 = 50
20 + 40 + 50 = 110
This means Plan C will cost him $110 under these conditions.
Plan D:
45 + (.10(800 - 500))
The 45 + represents a flat monthly rate of $45.
The (800 - 500) represents how many minutes he has to pay for with the 500 free.
The .10 is the cost per extra minute.
Solve:
800 - 500 = 300
.10 x 300 = 30
45 + 30 = 75
This means Plan D will cost him $75 under these conditions.
In short:
Plan A- $95
Plan B- $130
Plan C- $110
Plan D- $75
The least expensive among these is Plan D, which only costs $75 per month.
Answer:
12a^2 - 9a + 5
Step-by-step explanation:
(5a^2 - 6a - 4) - (-7a^2 + 3a - 9)
5a^2 + 7a^2 = 12a^2
-6a - 3a = -9a
-4 + 9 = 5
12a^2 - 9a + 5
