Answer:
Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula :
Substitute the values in formula
So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :
Length of radius = r =
Standard form of the equation of the circle :
(h,k )=(-1,3.5)
Equation of the circle :
Equation of the circle :
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is
The length is two inches less than five times the width. This means
Length (L) = 5w - 2. (Does this make sense? You calculate 5 times the width and then minus 2)
Then we know the perimeter of a rectangle is 2(L+w) so
Perimeter = 2(5w-2 + w) = 2(6w-2) = 12w - 4 (so C and D are both correct because they are equal)
We check the other two options manually,
A: 2(5w-2)+2w = 10w-4+2w = 12w - 4 (so A is correct because it equals D which also equals C)
B: w+w+5w+5w-2 = 12w - 2 (which does not equal any of the other options)
So correct answers are A, C and D because they are all equal.
This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.
Answer:
50 R 84
Step-by-step explanation:
I don't know how to explain but I'll try my best.
Because 195 is 3 digits, look at the first three digits of the number we are dividing by. In this case it would be:
983
983/195 is about 5 ish. Notice how it's not a perfect number and there is a remainder of 8.
Since we took out the 195, there is only the 4 remaining. Because we had a remainder of 8 from the first part, the 8 would be in the tenth category. Add the 80 and the 4 together, and you get 84.
Because 84 is smaller than 195, you cannot divide them without carrying over a number. Since they want a remainer, your answer would be 50 R 84.
If you want to check, simply multiply the divider and the number you got, (195 and 50), then add 84 to it.
195*50 = 9750
9750 + 84 = 9834
Answer: B
Explaination: hope it helps