A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:
Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:
And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue:
Step-by-step explanation:
hope it is helpful to you
hello :
f(x) = x^3
<span>x intercept when : f(x) = 0
x^3 =0
x=0 is a </span>x intercept
Answer:
(0, -3) and (3, 0)
Explanation:
1st equation: y = x² -2x - 3
2nd equation : y = x - 3
Using substitution method:
x² -2x - 3 = x - 3 <em>exchange sides</em>
x² - 2x - x - 3 + 3 = 0 <em>simplify</em>
x² - 3x = 0 <em> take common factor</em>
x(x - 3) = 0 <em>simplify</em>
x = 0, 3
Solve for y:
when x is 0, y = x - 3 = 0 - 3 = -3
when x is 3, y = x - 3 = 3 - 3 = 0
$140 dollars,
Using the equation (1/2)J/7=x. J=Jeremy's total money.7 because it was divided into 7 piles. Then, since 6 piles are blown away, we don't need to care about that for now. After that, you take 2 dollars and give the rest to Jeremy which is 8 dollars. You can create the equation x-2=8. Solve for x which is $10. Finally substitute that into the first equation to get (1/2)J=70. Multiply 2 to both sides to cancel out the (1/2) and the 70 by 2 to get Jeremy's total money which is $140
