Answer:
A. x=2, y = 7.
B. (2, 7).
Step-by-step explanation:
A. You can eliminate y by subtracting the equations:
y = 8x - 9
y = 4x - 1 Subtract:
0 = 4x - 8
4x = 8
x = 8/4 = 2.
Now substitute for x in the first equation:
y = 8(2) - 9 = 7.
Check in the second equation:
y = 4x - 1
7 = 4(2) - 1 = 7. Check is OK.
B. On the graph they will intersect at the point (2, 7).
They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.
Answer:
Step-by-step explanation:
line of reflection: <em>a fixed line directly in the middle of the pre-image and the reflected image. </em>
perpendicular: <em>two lines meeting at a 90 degree angle</em>
bisector: <em>line that divides something into two equal parts</em>
pre-image: <em>the original figure before any transformation or translation has been made</em>
reflected image: <em>the original image after being reflected across the line of reflection.</em>
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Is the line of reflection a line running perpendicular, directly in the middle of the pre-image and the reflected image? Yes, always would be my answer.
<span>212 -(72 divided by 2)=</span>212-36=176
Answer:
The number of adult tickets are 33 and the number of student tickets are 21 .
Step-by-step explanation:
As
The number of adult tickets x and the number of student tickets y.
As given
A carnival sold tickets for $1.50 for adults and $1.00 for students.
There were 54 tickets sold for a total of $70.50.
Equations becomes
x + y = 54
1.50x + 1.00y = 54 × 70.50
Simplify the above
150x + 100y =7050
Two equations are
x + y = 54
150x + 100y =7050
Multiply x + y = 54 by 150 from 150x + 100y =7050
150x - 150x + 100y - 150y = 7050 - 8100
-50y = -1050
50y = 1050
y = 21
Putting the value of y in the equation .
x + 21 = 54
x = 54 - 21
x = 33
Therefore the number of adult tickets are 33 and the number of student tickets are 21 .
