Answer:
Perimeter: 15 feet, Area: 15 square feet.
Step-by-step explanation:
You need this fast, so I'll spare you of much description. Add the side lengths for perimeter, and multiply the sides that aren't the hypotenuse (the legs) for the area.
Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
If you have learned how to find the line of best fit manually, then you can do it that way. Perhaps you may want to just find a line that can connect at least two of the points and I believe that that line will be able to represent the other points because, in general, the points are pretty close to one another.
If you don't want to do it manually and have a graphing calculator (which I recommend) then you can use that to find the line of best fit (and if you want then you can see how precise your points are with your r^2 value). Or there is a website (http://illuminations.nctm.org/Activity.aspx?id=4186), which you can use to help you to find the equation of that particular line.
Once you have that done, then you can substitute 2009 for the x value in the equation and then see what y value the equation produces. That will then be your answer :)
Answer:
b.
Step-by-step explanation:
Stem is the first digit and the leaf is the last digit.
Below the table is explained that 1 l 7 is 1.7 because it also could mean 17. So with that clear the terms from the Stem l Leaf are as follow:
1 combined with 3, 7 and 7:
1.3, 1.7 and 1.7
2 combined with 6, 8 and 8:
2.6, 2.8, 2.8
3 combined with 5 and 7:
3.5 and 3.7
All the terms:
1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7