Answer:
(x-5;y+6)
Step-by-step explanation:
1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then
2) the rule of the translation is: (x-5;y+6).
* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.
Answer:
7
Step-by-step explanation:
7 times 5 =35
35+3=38
correct answer is 7 years old
294/X= -14
Cross multiply
294= -14X
Divide both sides by -14
294 : -14 = -21
-14 gets cancelled out so the X is isolated
X= -21 or -21=X it doesn’t really matter which way you put it
Probability yes but this question lacks question
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let
. then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that
, and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand,
then
hence
. Combining the inequalities, we have that
, therefore
as required.