Answer:
The answer is C.
Step-by-step explanation:
This is the answer because the mean is 22.75 and is is basically the same and the median which is 22 also
Answer:
(3;4); (-3;-4); (3;-4); (-3;4)
Step-by-step explanation:
for more information see the attached picture.
Answer:
The coordinates of C" are (-7, 4)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
- If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)
From the given figure
∵ ABCD is a trapezoid
∵ The coordinates of the ponit C are (4, 1)
∴ x = 4 and y = 1
∵ The trapezoid is rotated 90 degrees counterclockwise about the origin
→ By using the 1st rule above, change the sigh of y and switch them
∴ C' = (-y, x)
∴ C' = (-1, 4)
∵ The resulting image is translated 6 units left
→ By using the 2nd rule above subtract the x-coordinate by 6
∴ C" = (x - h, y)
∵ h = 6
∵ x = -1 and y = 4
∴ C" = (-1 - 6, 4)
∴ C" = (-7, 4)
∴ The coordinates of C" are (-7, 4)
I’ll do an example problem, and I challenge you to do this on your own!
4x+6y=23
7y-8x=5
Solving for y in 4x+6y=23, we can separate the y by subtracting both sides by 4x (addition property of equality), resulting in 6y=23-4x. To make the y separate from everything else, we divide by 6, resulting in (23-4x)/6=y. To solve for x, we can do something similar - subtract 6y from both sides to get 23-6y=4x. Next, divide both sides by 4 to get (23-6y)/4=x.
Since we know that (23-4x)/6=y, we can plug that into 7y-8x=5, resulting in
7*(23-4x)/6-8x=5
= (161-28x)/6-8x
Multiplying both sides by 6, we get 161-28x-48x=30
= 161-76x
Subtracting 161 from both sides, we get -131=-76x. Next, we can divide both sides by -76 to separate the x and get x=131/76. Plugging that into 4x+6y=23, we get 4(131/76)+6y=23. Subtracting 4(131/76) from both sides, we get
6y=23-524/76. Lastly, we can divide both sides by 6 to get y=(23-524/76)/6
Good luck, and feel free to ask any questions!
Yes, you got it! You would need to set the equations equal to each other, because that represents when their populations are the same. Then, solving for x will find the time in months until you reach that equilibrium in population. If you need help solving for x, just comment on this. Hope it helps!
