Answer:
D). -5(x + 2)^2 - 2.
Step-by-step explanation:
Parabola which Opens down and vertex (-2, -2) is :
f(x) = a(x + 2)^2 - 2 where a is negative
Stretch by factor 5 gives:
-5(x + 2)^2 - 2.
4,
Four lines connecting to two points
We have that
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5
the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°
the answer is
sin x=-1x=-90° or 270°
This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
You can multiply opposite sides, like so:
y*7 = 8*3
7y = 24
y = 24/7