Answer:
If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:
(x,-y)
So we only change the sign of the y-component.
Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.
Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.
The original vertices are:
C = (-3, 7)
D = (0, 7)
E = (0, 10)
F = (-3, 10)
Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:
C' = (-3, -7)
D' = (0, -7)
E' = (0, - 10)
F' = (0, - 10)
Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.
Answer:
$8,864.73
Step-by-step explanation:
Base amount: $6,000.00
Interest Rate: 5% (yearly)
Effective Annual Rate: 5%
Calculation period: 8 years
Standard for would be 6,670,404,013.19
Answer:
rectangle, 5,4
Step-by-step explanation:
i just did the assignment and got it right
Answer:
Is x = 4 a solution to the equation 6 = x + 2? YES
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Step-by-step explanation:
Is x = 4 a solution to the equation 6 = x + 2? YES
we cans solve the equation 6=x+2 by clearing for x:
6 = x + 2
we move the +2 on the right as a -2 to the left:
6 - 2 = x
4 = x
this way we find that indeed x = 4 is a solution to 6 = x + 2.
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Let's solve the inequality by clearing for x:
2x ≥ 9
we move the 2 that is multiplying on the left to divide on the right side:
x ≥ 9/2
x ≥ 4.5 ⇒ <u>x must be greater than or equal to 4.5</u>
thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5
