Answer:
D.
Step-by-step explanation:
The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
brainly.com/question/1559324
#SPJ1
Answer:
(c) 2
Step-by-step explanation:
2(x - 4) + 7 = 3
2x + 2(-4) + 7 = 3
2x - 8 + 7 = 3
2x - 1 = 3
2x - 1 + 1 = 3 + 1
2x = 4
2x/2 = 4/2
x = 2
Hope this helps!!!
Answer:
Step-by-step explanation:
<u>Total number of marbles:</u>
<u>There are two possibilities</u>
- Orange then green or green the orange
<u>The probabilities are:</u>
- P(o&g) = 2/10*2/9 = 2/45
- P(g&o) =2/10*2/9 = 2/45
<u>Required probability is:</u>
- P = 2/45*2 = 4/45 = 0.08889
Correct choice is C
Answer:
12
3 x 4
if its one unit then you just multiply the sides in this case 3 x 4
