Answer:
X=10
X=-8
Step-by-step explanation:
(x+1)*(x-3)=77
x²-3x+x-3=77
x²-2x-3=77
x²-2x-3-77=0
x²-2x-80=0
(x-10)*(x+8)=0
x-10 = 0
x=10
x+8=0
X=-8
Hello,
If the teacher has 1/2 of an eraser, and she divides it into 2 pieces to give 1 to each of her students, she gives (1/2) / 2 = (1/2) * (1/2) = 1/4 of the eraser to each student.
Each student takes home 1/4 of the eraser.
Hope this helps!
The order of magnitude for total attended for a high school football team is 3
<h3>How to determine the
order of magnitude?</h3>
The given parameters are:
Average number of fan = 1000
Number of home games = 5
The total number of fans in the 5 games is:
Total number of fans = Average number of fan * Number of home games
Substitute known values in the above equation
Total number of fans = 1000 * 5
Express 1000 as 10^3
Total number of fans = 10^3 * 5
Rewrite the equation as:
Total number of fans = 5 * 10^3
The power of 10 represents the order of magnitude
Since the power of 10 is 3, the order of magnitude is 3
Hence, the order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games is 3
Read more about order of magnitude at:
brainly.com/question/15698632
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Answer:
midpoint formula:
x1+x2/2 y1+y2/2
-4 + (-2)/2 which then simplifies to -6/2 and then to -3
2 + 2 /2 which then simplifies to 2
x= -3
y= 2
so (-3,2) is the coordinate point of the midpoint of this segment
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
