Here are all of the answers:
1. yes, it is evenly divisible by 17 equally: 4,165 / 17 = 245
2. 194,610 / 26 = 7,485
3. 750 bananas divided equally by 50 students is 15 bananas per student:
750 / 50 = 15
4. 2400 / 15 = 160
5. 94,104 is not divisible by 12 evenly: 94,104 / 12 = 6,273.6
6. 44,237 / 31 = 1,427
7. 35 roses divided equally among 5 rows equals 7 roses per row: 35 / 5 = 7
8. 16,606 / 19 = 874
9. 83,525 is evenly divisible by 13: 83,525 / 13 = 6,425
10. $3,600 worth of toys divided by $18 per toy equals 200 toys: $3,600 / $18 = 200
Answer:
g o f = 
Step-by-step explanation:
Given
Required:
Find g o f
This is calculated as:
So:
![g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4](https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%202%5B%2016x%5E2%20%2B%2016x%20%2B%204%29%5D%20-%204)
Answer:
That is a simplified as it can get.
Step-by-step explanation:
Answer:
15, -26
Step-by-step explanation:
The <em>generic solution</em> to a "sum and difference" problem can be found easily. Let "a" and "b" represent the numbers you seek, and let "s" and "d" represent their sum and difference:
a + b = s
a - b = d
Adding these two equations tells you ...
2a = s + d
a = (s + d)/2 . . . . . . divide by the coefficient of a
You can find "b" several different ways. One way is to subtract the second equation from the first:
2b = s - d
b = (s - d)/2 . . . . . . divide by the coefficient of b
So, the second number can be found from any of ...
- b = s - a
- b = a - d
- b = (s - d)/2
____
For the numbers given here, s=-11, d=41, the two numbers are ...
a = (-11 +41)/2 = 15
b = -11 -15 = -26
The two numbers are 15 and -26.
Answer:
a²+b²=c²
7.5²+9²=c²
137.25=c²
√137.25=c²
11.72.... = c
The Radius of the circle is approximately 11.72cm
Step-by-step explanation:
Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.
We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm
After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle
We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.
