Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
You can use a graph and put all the information on there
Right now the dirt bike is worth $500. Next year it will be worth 15% less, or 85% of the current value (because currently it's at 100%, so you would subtract the 15%). To find 85% of the dirt bike's value, you would take $500 and multiply by 85% (or 0.85). This would give you $425 after 1 year. You'd take $425 and multiply that by 85% for the next year, and continue until you reached 5 years of the value decreasing. Does this help?
For this case we have the following expression:
-9x ^ -1y ^ -1 / -15x ^ 5 y ^ -3
For power properties we have:
-9x ^ (- 1-5) y ^ (- 1 - (- 3)) / - 15
Rewriting we have:
9x ^ (- 6) y ^ (- 1 + 3) / 15
3x ^ (- 6) y ^ (2) / 5
3y ^ 2 / 5x ^ 6
Answer:
3y ^ 2 / 5x ^ 6Note: answer is not between the options. Rewrite the expression again, or the options.
The son is 4 years old and the dad is 24 years old.
