You research the average cost of a tank of gasoline for a certain type of car for several recent years to look for trends. The t
able shows your data. What is the equation for a line of best fit? How much would you expect to pay for a tank of gas in the year 2019?
Note: The table below shows the average cost for one tank of gasoline, not one gallon.
y = 1.006x + 26.40; $47.52
y = 1.006x + 26.40; $58.92
y = 26.40x + 1.006; $47.52
y = 26.40x + 1.006; $58.92
Note: The table below shows the average cost for one tank of gasoline, not one gallon.
y = 1.006x + 26.40; $47.52
y = 1.006x + 26.40; $58.92
y = 26.40x + 1.006; $47.52
y = 26.40x + 1.006; $58.92
1 answer:
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The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:
The hypotenuse is the side with the greatest length.
Check all options:
1. c=5, a=3, b=4:
true.
2. c=14, a=4, b=11:
false.
3. c=17, a=9, b=14:
false.
4. c=16, a=8, b=14:
false.
5. c=17, a=8, b=15:
true.
Answer: correct options are A and E.
Let
A----->
B----->
C----->
we know that
Point A-------> Multiply numerator and denominator by
Point B-------> Multiply numerator and denominator by
Point C-------> Multiply numerator and denominator by
Find the distance Point A to Point C
Find the distance Point B to Point C
therefore
Point B is closer to Point C
is closer to
the answer is
is closer to
Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by
The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' =
Thus, the coordinates of the resulting point B' is (-1,1)