4+2x = x (x = student in smaller group)
4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group
4 + 2(8) = 20 students in the larger group
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Total number of cubic inches of cheese sauce in container = Volume of cylinder = 
Option A is correct.
Step-by-step explanation:
The diameter of cylinder = 16 inches
The height of cylinder = 7 inches
Total number of cubic inches of cheese sauce in container = Volume of cylinder = ?
The formula used to find Volume of cylinder is:

We are given diameter of cylinder while we need radius according to formula.
So, radius = diameter/2
radius = 16/2
radius = 8
Putting values and finding volume:

So, Total number of cubic inches of cheese sauce in container = Volume of cylinder = 
Option A is correct.
Keywords: Volume of cylinder
Learn more about Volume of cylinder at:
#learnwithBrainly
If you divid 8.4 x 107 and 3 x 103 you should get 2.8 x 104
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Inscribed angle measure is half the intercepted arc:</u>
<u>The angle between the diameter and tangent is right angle:</u>
<u>According to angle addition postulate:</u>
- m∠YAC = m∠BAC - m∠BAY
- m∠YAC = 90° - 26° = 64°
Correct choice is B