Pythagorean Theorem & Irrational Numbers
what is the pythagorean theorem
a squared + b Squared = c squared
what is the 10 to the 22 second power
10000000000000000000000
A group of data points is known as a
cluster
If we were to do substitution and have a graph of the same system of equations would we get the same solution?
Yes.
Every equation graphs a specific line so no matter how you solve, you get the same solution!
(Graphs are definitely easier, but we don't always have graphed systems!)
There are two types of transformations; Rigid and _______-______________ transformations.
What is non-rigid transformations
what is C in the pythagorean theorem
hypotenuse
what is 10 to the -6th power
0.000001
A data point that is by itself and away from all other data points is called a(n)
oulier
What is the first step when solving a system of linear equations using the SUBSTITUTION method?
Isolate the variable
a __________ is a rigid transformation which produces a mirror image of the graph of a function with respect to a specific line.
What is a reflection
what is A and B in the Pythagoreann Theorem
legs
what is scientific notation
a method of writting very large or very small numbers by using powers of 10
A __________ line is the line that we use to predict data from a scatter plot.
trend
What is your new (one) equation after performing substitution?
y=2x
3x+y=20
3x+(2x)=20 or
5x=20
a ___________ is a rigid transformation that has the affect of shifting the graph of a function up, down, left, or right
What is a Translation
MArk and Sarah start walking at the same point, but Mark walks 50 feet north while Sarah walks 75 feet east. how far apart are Mark and Sarah when they start?
90.1
what is 1.35 times 10 to the -4th power
0.000135
When you are writing an equation for the line of best fit, how do you determine the y-intercept?
the line cross the y-axis
How would you isolate x in this equation?
6y+x=20
subtract 6x from both sides to get:
x=20-6x
Which transformation is described last?
What is vertical translations?
two sides of a right triangle are of length 4 inches and 11 inches. the third side may be a leg are may be the Hypotenuse. approximately how much longer are would the hypotenuse than if it were a leg.
Approximately 1.5 inches
what is 3.12 times 10 to the 9th power
3,120,000,000
What correlation would you expect of a scatter plot that is graphing height vs. IQ.
No Correlation
Use the substitution method to solve the system of linear equations:
y=2x
3x+y=20
Solution: (4,8)
A transformation that produces an image that is the same shape as the pre-image, but is a different size.
What is a dilation?