Answer:
The formula to get the circumference of a circle is
but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this
.
We can then input the value and we get that
which then just narrows down to
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
John's. Find the first common multiple of both denominators, in this case it's going to be ten, then the number you had to multiply to change these numbers to the common multiply you do to the numerators. so it works out like so:
Deena has a bottle of 4/10
John has a bottle of 25/10 or 2 1/2 (simplified)
Answer:

Step-by-step explanation:
The parabola with vertex at point (h,k) is described by the following model:

The equation which satisfies the conditions described above:


The two points are evaluated herein:
x = -6




x = -2




The equation of the translated function is
.
BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12