Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.
Step-by-step explanation:
The equation of a circle in the center-radius form is:
(1)
Where 
are the coordinates of the center and 
is the radius.
Now, we are given the equation of this circle as follows:
(2)
And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:
(3)
Rearranging the equation:
(4)
(5)
Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of 
:
<u>For the first parenthesis:</u>
We can rewrite this as:
Hence in this case 
and 
:
<u>For the second parenthesis:</u>
We can rewrite this as:
Hence in this case 
and :
Then, equation (5) is rewritten as follows:
(6)
<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>
Rearranging:
(7)
At this point we have the circle equation in the center radius form
Hence:
Answer:
20
Step-by-step explanation:
Number of blue cars = 28
Number of dots in blue cars = 7
one dot = 28÷ 7 = 4
One dot equals 4cars
Number of tan cars = 5*4 = 20
1) 10.25 x 10^9 in scientific notation is 1.025 x 10^10
2) Now you have to subtract 10.25x10^9 - 3.0x10^7
To make that you have to put both numbers with the same power of ten.
1025x10^7 - 3.0x10^7 = 1022x10^7 more pennies than half-dollars.
Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
