Answer:
1023.75
Step-by-step explanation:
The sum of a geometric sequence is
sum = a( 1 - r^n) / (1-r)
where a is the first term r is the common ratio and r^n is the nth term
We need to find the common ratio
r = 256/512 = 1/2
sum = 512 ( 1 - 1/2^12) / ( 1-1/2)
=512( 1-.000244141) / (.5)
=512(.999755859) /.5
=1023.75
Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
Answer:
5.98
Step-by-step explanation:
Answer:

Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

3. The system of linear inequalities that represents these graphs is

It is 18.02. First you multiply 5.4 by 6.8 because it is a triangle you have to divide it by 2. 5.4x6.8=36.04 36.04/2=18.02