Answer:
8(7+4)
Step-by-step explanation:
the greatest common factor is 8.
Given function is
We know
Domain of a function is defined as set of those real values of x for which function is well defined.
So, y is defined when
Now, <u>To find the range of function </u>
We know,
Range of a function is defined as set of those real values which is obtained by assigning the values to x.
So,
On squaring both sides, we get
Now, x is defined when
But,
<u>Hence, </u>
So, we have
and
4
If two triangles are similar, corresponding sides are in proportion. So, we have
Multiply both sides by to get
Expand the left hand side:
Subtract 17.5y from both sides:
Divide both sides by 10.5:
8
Given the ratio
we can deduce
The perimeter of the rectangle is given by
Now we can deduce the value for x:
The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2
Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2
Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm
So the radius of the cone is 12 cm
4x - 9 = -25
Solving:
4x - 9 = -25
4x = -16
x = -4
Hope this helps!