Answer:
The length of the diameter is 18 cm
Step-by-step explanation:
In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.
Mathematically, the surface area of a cylinder can be represented by the equation;
A = 2 π r( r + h)
since r = h, we can say h = r
Thus, the equation becomes;
A = 2 π r( r + r)
A = 2 π r(2r)
A = 4 π r^2
From the question, we can see that the value of A = 324 π
substituting this, we have;
324 π = 4 π r^2
4r^2 = 324
r^2 = 324/4
r^2 = 81
r = root of 81
r = 9 cm
The value of the diameter is two times the radius
Hence D = 2r = 2 * 9 = 18 cm
The answer would be D. line of symmetry because he lines stay even and never cross eachother.
Answer:
32x² + 36x + 9
Explanation:
To answer the question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.
This can be done as follows:
(8x + 3)(4x + 3)
8x(4x) + 8x(3) + 3(4x) + 3(3)
32x² + 24x + 12x + 9
32x² + 36x + 9
Hope this helps :)
The answer is the second one
If you want a fast explanation
You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal
If you check the vertices points those indicates the length of 2a thus thatll be 6
To get the center just use middle point equation and you'll get (1,3)
Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis
A=3
B=?
C=6
We use Pythagoras so

Thus you get

With that data now you can get the equation
You know that below (y-3)^2 there should be a^2 so that means there will be the 9
And in the (x-1)^2 there should be b^2 so that means there will be the 27
PD. The 3 besides y, and 1 besides x represent the center