First you need to work out how much string is needed -
256 pieces needed x 40cm each:
256 x 40 = 10240cm
Then, convert to metres (100cm = 1m)
10240 / 100 = 102.4m
Then, you work out how many balls are needed:
30 can fit into 102.4 3 times with .41m to spare. So, you need three balls of string, PLUS another one to cover the 41cm
So to conclude: 4 balls of string are needed.
m = 0............................
Answer:
1) f=−8/7 2) z=−3/7
Step-by-step explanation:
1)-f+8=-8f
−f+8=−8f
Step 1: Add 8f to both sides.
−f+8+8f=−8f+8f
7f+8=0
Step 2: Subtract 8 from both sides.
7f+8−8=0−8
7f=−8
Step 3: Divide both sides by 7.
7f/7=−8/7
f=-8/7
2) 6z-5=-z-8
6z−5=−z−8
Step 1: Add z to both sides.
6z−5+z=−z−8+z
7z−5=−8
Step 2: Add 5 to both sides.
7z−5+5=−8+5
7z=−3
Step 3: Divide both sides by 7.
7z/7=−3/7
The solution set of the equation is all reals ⇒ 3rd answer
Step-by-step explanation:
The solution set of an function is the set of all vales make the equation true. The equation has:
- Solution if the left hand side is equal to the right hand side
- No solution if the left hand side doesn't equal the right hand side
∵ The equation is 18 - 3n + 2 = n + 20 - 4n
- Add the like terms in each side
∴ (18 + 2) - 3n = (n - 4n) + 20
∴ 20 - 3n = -3n + 20
- Add 3n to both sides
∴ 20 = 20
In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value
∵ The the variable n is disappeared
∵ The left hand side = the right hand side
∴ n can be any real number
∴ The solution set of the equation is all real numbers
The solution set of the equation is all reals
Learn more:
You can learn more about the equations in brainly.com/question/11229113
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So the equation of a circle is (x - h)² + (y - k)² = r² where (h,k) are the coordinates of the center of the circle and r is the radius. The diameter of a circle is a line that goes from one point of the circle to the other through the center of the circle. Well the center would be midway through the diameter so use midpoint formula to find the center which is (h,k) Mid point formula is both given x's added together divided by 2 for h and both y coordinates added together divided by 2 to find k
(10+0)/2
10/2= 5
(12+2)/2
14/2 = 7
so the center of the circle is (5,7) now use distance formula using the center and one of the points to the radius
√((5-10)²+(7-12)²)
√(-5²+ -5²)
√(25 + 25)
√50 is the radius
Now plug all found information into circle equation
(x-5)² + (y-7)² =50 note the end is 50 because the circle equation is radius squared and since the radius is √50, radius² is 50.
Answer is c
