Transformations
What transformation slides a figure without turning it?
Translation
What does surface area measure?
Surface area measures the total area of all the outer faces of a 3D object.
Find the volume of a rectangular prism with l=7, w=3, h=2
42
And a scatter plot what does each point represent
which point represents a pair of values XY
A bank gives you 2% interest per year.
if you invest 500$, how much interest will you earn in one year?
$10
A figure is reflected across the y-axis. What happens to the coordinates?
x, y) → (−x, y)
Find the lateral surface area of a rectangular prism with
l = 6, w = 4, h = 5
LSA = 2h(l + w) = 2(5)(6+4) = 100
A cube has a volume of 512 cubic units. What is the length of one side?
8
A scatter plot shows points going downward from the left or right? What type of correlation is this?
Negative
1180
Point Q is (−5, 3)
Reflect over the y-axis
(5, 3)
Find the total surface area of the same rectangular prism
l = 6, w = 4, h = 5
TSA = 2lw + 2lh + 2wh
= 48 + 60 + 40 = 148
A cylinder has a radius of 4 and height of 6. Find the volume in terms of π
96π
A cattle plot shows nuclear pattern between XNY values what type of correlation is this?
No correlation
A savings account gives 3% interest per year if you earn $90 of interest in two years what was your original investment?
1500
Point P is (4,1)
Rotate 90° clockwise around the origin
(1, -4)
A cylinder has radius 4 cm and height 6 cm.
Use 3.14
Find the total surface area.
251.2 cm²
A rectangular prism has a volume of 180. If length = 5 and width = 6, find the height
6
You are given these points
(1,2) , (2,4) , (3,6) , (4,8) , (5,10)
describe the correlation and predict the value of Y when X is 6
perfect positive correlation
y=12
You invest $1500 at a rate of 5% simple interest for four years. How much interest will you earn?
$300 interest
Triangle A has points:
A(1,2), B(3,2), C(2,4)
First reflect over the x-axis, then translate up 3 units.
What are the final coordinates?
(1,1), (3,1), (2,-1)
A rectangular prism has dimensions 10, 5, and 2. If all dimensions are doubled, how does the surface area change?
It becomes 4 times larger.
A cylinder has a volume of 200π and height 8. Find the radius
5
A scatter plot shows the relationship between hours study and test scores. The points trend upward from left to right.
What type of correlation is this and what does it mean?
Positive correlation
You deposit $500 in a savings account with 4% simple interest for 2 years. How much interest do you earn?
40