Answer:
Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.
Cylinder - A 3D solid with circles as its bases.
Plane - A flat, 2D surface that extends infinitely.
Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).
Solve for the x-max or h :\
![-b/(2a)=-8/(2*-2)=2=k](https://tex.z-dn.net/?f=-b%2F%282a%29%3D-8%2F%282%2A-2%29%3D2%3Dk)
plug it in to equation to get k:/
![y(2)=-2(2)^2+8(2)+3](https://tex.z-dn.net/?f=y%282%29%3D-2%282%29%5E2%2B8%282%29%2B3)
-8+16+3=11=k
![y=a(x-2)^2+11 ](https://tex.z-dn.net/?f=y%3Da%28x-2%29%5E2%2B11%0A)
solve for a by pluging (0,0)
then a= -11/4
Answer:
We are told of a 90 degree angle. plus we are told that GH and HI are similar.
Hence: Angle I is = 45 degree or Option C
Answer:
Graph B
The graph in the attached figure
Step-by-step explanation:
we have
![f(x)=2(3)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D2%283%29%5E%7Bx%7D)
This is a exponential function
of the form
![f(x)=a(b)^{x}](https://tex.z-dn.net/?f=f%28x%29%3Da%28b%29%5E%7Bx%7D)
where
a is the initial value
b is the base
r is the rate
b=1+r
In this problem
a=2 ----> the y-intercept
b=3
so
1+r=3 -----> r=3-1=2 -----> r=200%
so
The y-intercept of the graph is equal to 2
As x increases the value of f(x) increases
therefore
Graph B
Answer:
the number is 10
Step-by-step explanation:
3x + 10 = 6x-20
20+10=6x-3x
30=3x
x=10