Answer:
when x is any real number
Step-by-step explanation:
commutative property
Answer:
Volume of smaller cone =301.44
Step-by-step explanation:
First let angle of cone be
.
then 
= 3/5 (For bigger triangle)
Same cone angle is for smaller one because they are similar.
= 4/5
Now for smaller cone radius be R
3/5 =R/Slant height
Slant height =5/3R
Lateral surface area =
[R = slant height]
Given lateral surface area =60
=
...................................1
................................................2
Put angle beta in equation 1 and find the value of R
R =6 cm
Height =
Thus volume =
=301.44
The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
brainly.com/question/1559324
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Answer:
Equation shown
Step-by-step explanation:
Eq(1): x-3y=-12
X=-12+3y
=-4+y
Eq(2): x-3y=-6
X=-6+3y
=-2+y
Answer:
Step-by-step explanation:
