Answer:
Figure M
Step-by-step explanation:
Figure P has vertices at points (-2,4), (-2,8), (-6,8) and (-6,6).
Consider figure M with vertices (-4,-4), (-4,-8), (-8,-8) and (-8,-6).
1. Translate figure M 2 units to the right. This translation has the rule:
(x,y)→(x+2,y),
so
- (-4,-4)→(-2,-4);
- (-4,-8)→(-2,-8);
- (-8,-8)→(-6,-8);
- (-8,-6)→(-6,-6).
2. Reflect the translation image figure M across the x-axis according to the rule
(x,y)→(x,-y)
Thus,
- (-2,-4)→(-2,4);
- (-2,-8)→(-2,8);
- (-6,-8)→(-6,8);
- (-6,-6)→(-6,6).
To solve, you will need to find the y intercept which in this case is on the graph. The find the slope's between the two points and calculate the average slope by adding the two then dividing. Hope that helps!
$18,617.75 is the answer
$87,525-$77,100=$10,425 (the amount over $77,100)
$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)
$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75
The correct answer is 18.4. We can use the distance formula to solve this problem.
(x - x)² + (y - y)² = d² Distance formula
(4 + 5)² + (-7 - 9)² = d² Substitute the given values; make sure to always subtract in the same direction (for example, if you had (1, 2) and (3, 4), if you start by subtracting 1 - 3, then subtract 2 - 4 again, not 4 - 2); also remember that when you subtract a negative, you add
9² - 16² = d² Add; remember that when you subtract a positive from a negative, the answer is negative (-7 - 9 = -16), but this doesn't really matter since we're about to square it anyway
81 + 256 = d² Square both numbers; you can use a calculator for this, if you want
337 + d² Add
d = √337 Take the square root of both sides to cancel out the exponent
So, the distance is √337. You can use a calculator to get the estimated answer, which is about 18.4
Hope this helps!
