Which point would map onto itself after a reflection across the line y = -x? (-4, -4)
(-4, 0)
(0, -4)
(4, -4)

The required point is (4, -4)

Step-by-step explanation:

For any point to map onto itself after reflection across the line, The first condition is that the point must lie on the line.

So, check the given points which lie on the equation of the given line :

y = -x

(-4, -4)

y = -4 and -x = - (-4) = 4

⇒ y ≠ -x

So, (-4, -4) is rejected.

(-4, 0)

y = -4 and -x = 0

⇒ y ≠ -x

So, (-4, 0) is rejected.

(0, -4)

y = 0 and -x = - (-4) = 4

⇒ y ≠ -x

So, (0, -4) is rejected.

(4, -4)

y = 4 and -x = - (-4) = 4

⇒ y = -x

So, (4, -4) is the required point which would map onto itself after a reflection across the given line y = -x

Hence, the required point is (4, -4)

$32,660

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.