System of Equations
For the problem to solve we'll use the following variables:
x = number of the early bird tickets sold
y = number of the regular tickets sold
Haley sold a total of 20 tickets, thus:
x + y = 20 [1]
Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:
10x + 15y = 225
Dividing by 5:
2x + 3y = 45 [2]
We have to solve the system of equations [1] and [2].
Multiply [1] by -2:
-2x - 2y = -40 [3]
Add [3] to [2]:
-2x - 2y +2x + 3y = -40 + 45
Simplifying:
y = 5
Substituting in [1]:
x + 5 = 20
Subtracting 5:
x = 20 - 5
x = 15
Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets
The order pair solution is (15,5)
It's a reflection across the y axis because They are both still equal(all sides are equal) but flipped around. Also, if you calculate, all the midpoints of corresponding points are on the y axis, which shows that it is a reflection over the y axis and nothing more.
It could also be reflect across the x axis, then the y axis, then the x axis again because the reflections across the x axis cancel out with each other. So it is basically is a reflection across the y axis.
Choice 4 because when you rotate it by 180 it lands in the third quadrant exactly one reflection away. When you reflect it across the x axis, it becomes the desired triangle.
Choices 1 and 2 and 4.
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
^2
−
b
^2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
y
and
b
=
6
(
y
+
6
)
(
y
−
6
)
Answer:
-3x+8
Step-by-step explanation:
−2x−x+8
Add the -2x to the -x and you get -3x.
-3x + 8 is the answer if you wrote your equation correctly...
0.01.
To find the answer, just divide 0.1 by 10
