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)
Answer:
270
Step-by-step explanation:
Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.
S/J = 180/200
Now you make your proportion
S/J = x/300
But the 2 ratios much remain the same.
180/200 = x / 300 Multiply both sides by 300
180*300/200 = x Multiply the numerator together.
54000/200 = x Do the division
270 = x
Smith will have turned out 270 relays.
Answer:
$1,008 weekly, $52,416 annually
Step-by-step explanation:
14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)
.14 of 7200 = 1008
Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.
$1008 per week, 52 weeks in a year
52 * 1008 = $52416, her commission in 2011
Answer:
38%
Step-by-step explanation:
Original price = $ 80
Price after reduction = $ 49.60
Reduction = 80 - 49.60 = $30.40
Percentage of decrease = 
= 38%
