Answer:
Step-by-step explanation:
The standard equation for circle is
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is 
Answer:
Step-by-step explanation:
To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.
(I use the notation x|y to denote that x divides y)
(A)
(B)
In this case, it is easier to also factor the divisor to primes:
Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:
Answer:
A)16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
Answer:
5. beth can buy 49 avocados. 592 divided by 3 = 197 divided by 4 = 49
6. the painting will be 23 inches tall. 27 - 9 = 18 so 5 + 18 = 23
7. the photo will be 18 inches tall. 13 - 1 = 12 so 6 + 12 = 18
8. i think it's $273.08 . 37 divided by 10 = 3.7 x 74 = 273.8
Answer:
In inches, the radius of the can is <u>2</u>.
Step-by-step explanation:
Given:
The number of cubic inches in the volume of a 6-inch high cylindrical can equals the number of square inches in the area of the label that covers the lateral surface of the can.
Now, to find the radius of the can in inches.
Let the radius of can be 
Height of can = 
<em>As given, the number of cubic inches of the volume of the cylindrical can equals the number of square inches in the area of the label that covers the lateral surface of the can.</em>
<em><u>So, </u></em>
<em><u>Volume of can = lateral surface area of can.</u></em>
Now, we put formula of volume and lateral surface area of cylinder:
<em>Dividing both sides by </em>
<em> we get:</em>
<em />
<em />
<em />
<em />
<em>Dividing both sides by 6 we get:</em>
Therefore, in inches, the radius of the can is <u>2</u>.
