Given:
Equation of a circle
Required:
Find the center and radius of the circle. Then graph of circle.
Explanation:
We have a standard equation of circle
Whose radius is (h, k) and radius r.
We have equation of a circle
Now, we will compare with standard equation of a circle
Graph of circle is
Answer:
Hence, this is the answer.
Answer:
c(x) = –8x^2 + 3x – 5 is a quadratic
Step-by-step explanation:
A quadratic function involves the 2nd power of x: x^2, and may (or may not) involve the 1st and zeroth power of x.
a(x) = -2x^3 is not a quadratic because of that exponent 3; in a quadratic, the highest power is always 2.
b(x) = 5x^3 + 8x^2 + 3 is not a quadratic for the same reason that a(x) is not a quadratic.
c(x) = –8x^2 + 3x – 5 is a quadratic: the highest power of x is x^2, the other powers are x^1 and x^0.
Answer:
- P (blue or too big) = 11 / 12
Explanation:
A two way table permits to represent the situation clearly and find the answser is an easy way.
The two way table is that results from the given information is:
Initial information:
Blue Green Total
Fit well 4 1 ?
Too big ? ? ?
Total 5 7 12
Now by subtraction and addition you can fill the unknown fields:
Blue Green Total
Fit well 4 1 5
Too big 1 6 7
Total 5 7 12
Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).
Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.
And the probability is :
- P(blue or too big) = number of blue or too big / total number of shirts
- P (blue or too big) = 11 / 12 ← answer
You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.
Because there are 18 socks, 18 is the denominator, and there are 3 blue so blues the numerator. So the chance of getting a blue sock is 3/18 chance. I hope this helps.
There are 24 hrs in a day, and there are 365 days in an year
first step: multiply years with days
37 x 365 = 13505 days in all
second step: multiply days with hrs
13505 x 24 = 324120 hrs
your total is 324120 hrs
hope this helps
