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borishaifa [10]
3 years ago
12

What is the image point of (9,9)(9,9) after a translation right 5 units and down 4 units?

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:  (14, 5)

===========================================================

Explanation:

Translating 5 units to the right means x becomes x+5. Whatever the x coordinate is, we add on 5.

Translating 4 units down means we go from y to y-4.

Overall, the point (x,y) becomes (x+5, y-4).

We can write the compact notation (x,y) \to (x+5,y-4)

So for the specific point given, we can say:

(x,y) \to (x+5,y-4)\\\\(9,9) \to (9+5,9-4)\\\\(9,9) \to (14,5)\\\\

The point (9,9) shifts to (14, 5)

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Prove: Every point of S=(0, 1) is an interior point of S.
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Answer:

Proved

Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

Then c has a neighbourhood which contains atleast one point not in (0,1)

Let d be the point which is in neighbourhood of c but not in S(0,1)

Then the points between c and d would be either in (0,1) or not in (0,1)

If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.

Then we find that dn is a boundary point of S

But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.

Every point of S=(0, 1) is an interior point of S.

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3 years ago
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Step-by-step explanation:

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Most of the information's that are required for solving this question is already given in the question. It is important to check them minutely before trying to solve the problem in hand.
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The amount of money that needs to be saved = 70 pounds
Then
Amount of money remaining after savings = (1750 - 70) pounds
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