9514 1404 393
Answer:
(x -2)^2 +(y +4)^2 = 16
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You have (h, k) = (2, -4) and r = 4, so your equation is ...
(x -2)^2 +(y -(-4))^2 = 4^2
(x -2)^2 +(y +4)^2 = 16
Answer:
Step-by-step explanation:
There are 4 blue, 5 red and total of 9 marbles.
<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>
- red, then blue or blue, then red
<u>Find the probability of each case:</u>
- P(r, b) = 5/9*4/8 = 5/18
- P(b, r) = 4/9*5/8 = 5/18
<u>Probability of exactly one red:</u>
Do the second one hope this helps
6x-12
Combine 2x and 4x = 6x
Combine -17 and 5 = -12
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
