First find out the function for the given table.
Find the slope.
m= (y2-y1)/(x2-x1)
m=(-1-(-3)) / (-1-(-2))
m=(-1+3) / (-1+2)
m=2/1
m=2
Now equation of line:
y-y1=m(x-x1)
y-(-3)=2(x-(-2))
y+3=2(x+2)
y+3=2x+4
y=2x+1
Now plot these points on the graph, we get the attached graph.
Answer:
a
Step-by-step explanation:
it is all doubles
Answer:
X=-22
Step-by-step explanation:
Answer:
h = 5 cm
Step-by-step explanation:
Given that,
The volume of ice-cream in the cone is half the volume of the cone.
Volume of cone is given by :

r is radius of cone, r = 3 cm
h is height of cone, h = 6 cm
So,

Let
is the volume of icecream in the cone. So,

Let H be the depth of the icecream.
Two triangles formed by the cone and the icecream will be similiar. SO,

So, volume of icecream in the cone is :

or
h = 5 cm
So, the depth of the ice-cream is 5 cm.
Answer:
Triangular Prism
Step-by-step explanation:
Given
The sketch in the attached diagram
Required
Determine the shape it represents
Analyzing the options 1 after the other
Triangular Prism:
This has 5 sides; 2 of which are triangles while the other are rectangles
Rectangular Prism
This, in other words represents a cuboid
Triangular Pyramid
This has 4 sides, all of which are triangles
Rectangular Pyramid
This has 5 sides; 4 of which are triangles while the last is a square of rectangle.
From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing