Answer:
c= 1.16n
Step-by-step explanation:
j
X = -6y - 12
4x + 5y =-39
4x + 5y = -39
-4(-6y - 12) + 5y = -39
-4(-6y) + 4(12) + 5y = -39
24y + 48 + 5y = -39
29y + 48 = -39
29y = -87
y = -3
x = -6y - 12
x = -6(-3) - 12
x = 28 - 12
x = 6
(x, y) = (6, -3)
Hello from MrBillDoesMath!
Answer:
27
Discussion:
By the distance formula (or Pythagorean theorem)
distance = sqrt ( (change in x)^2 + (change in y)^2)
In our case this becomes
distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)
= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)
= sqrt ( ( 18 + 9) ^2 + 0^2 )
= sqrt ( 27^2)
= 27
Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before
Thank you,
MrB
Answer:
In mathematics, the range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function
Step-by-step explanation:
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
We know the volume and the radius of the conical container, then we can find "h":
The diameter and height doubled are:
Now the radius is:
And the container capacity is
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.
