Answer:
The correct option is C : x² + (y +3)² = 9 .
Step-by-step explanation:
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
- r is the radius.
- (h , k) is the center.
Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
<h3>
<u>Hence </u><u>the</u><u> </u><u>corre</u><u>ct</u><u> </u><u>option</u><u> </u><u>is</u><u> </u><u>C</u><u> </u><u>[</u><u> </u><u>x²</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>y</u><u>+</u><u>3</u><u>)</u><u>²</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>]</u><u> </u><u>.</u></h3>
Note that I have attached the graph of the same .
Answer:
A) they are parallel because their slopes are equal.
Step-by-step explanation:
Parallel means that their slopes are equal
If they were negative reciprocals they would be perpendicular.
Answer:
1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)
Step-by-step explanation:
The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:
P = Po * r^t
where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)
Then, we have that:
102000 = 60000 * 3^t
3^t = 102/60 = 1.7
log(3^t) = log(1.7)
t*log(3) = log(1.7)
t = log(1.7)/log(3) = 0.483
so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)
They can be equal if the absolute value of b is 1.