Answer:
(0, -6)
Step-by-step explanation:
You can find an ordered pair by choosing a value for one of the variables and solving the resulting equation for the other variable.
It is often convenient to choose 0 as a value for one of the variables.
For x = 0
0 -y = 6
y = -6 . . . . multiply by -1
One ordered pair is (0, -6).
__
For y = 0
3x -0 = 6
x = 2 . . . . divide by 3
Another ordered pair is (2, 0).
The simplified fraction of .3 is 3/10
Answer:
a) C
b) A
Step-by-step explanation:
The wingspan is the dependent variable while the bird height is the independent variable.
a) Since R2 is the dependent variable, it can be expressed by the independent variable. An R2 of 93% represents 93% of the variation in the wingspan which can be explained by using the birds height. This means that the appropriateness of the model should not be determined by R2 but by using a scatter plot.
b) The model predicts the value of wingspan using the value of bird height. We cannot say that the bird 10 inches tall has a wingspan if 17 inches instead, we say that the wingspan of the bird which is 10 inches tall is 17 inches.
It is therefore possible that the wing span is not exactly 17 inches
Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.
By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.
This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.
The total area of the given figure is then 34+6, or 40, square units.
Answer: 24.7
Step-by-step explanation:
