Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is clear that the center of the given circle is (4,5).
The standard form of a circle is
where, (h,k) is center of the circle and r is radius.
We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.
Substitute h=4, k=5 and r=2 in the above equation.
The required equation is .
Therefore, the correct option is B.
A. Y= 4/3x + -6
B. 4/3x + -1y = 6
2=6* 4/3+b
2=8+b
-6=b
Answer:
(-4, 14.4)
Step-by-step explanation:
The midpoint formula is expressed as;
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
Get X;
X = ax1+bx2/a+b
X = -13(2)+ 2(3)/2+3
X = -26+6/5
X = -20/5
X = -4
Get Y:
Y =ay1+by2/a+b
Y = 2(6)+3(20)/2+3
Y = 12+60/5
Y = 72/5
Y = 14.4
Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is
(-4, 14.4)
Eight quarters in two dollars
<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
Plug in the numbers.
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
V = 120 in^3
