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AlladinOne [14]
4 years ago
11

Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig

in?
Mathematics
1 answer:
Aleks [24]4 years ago
5 0

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

(x, y) \Rightarrow(-y, x)

Substituting the coordinates of the point C in the above formula, we get;

(2, 1) \Rightarrow(-1, 2)

Therefore, the coordinates of the point C' is (-1,2)

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3 years ago
The segment image is drawn from F(2, 9) to H(10, 1) with point G on the segment. What coordinates for point G will divide image
igomit [66]
Answer: The point (5, 6) would divide the line segment so it is in the ratio of 3:5.

If the ratio of the line segment needs to be 3:5, that means the point will be at the 3/8 distance mark of the line segment. Because there are 8 total parts if the ratio is 3:5 (3 + 5 = 8).

The slope from (2, 9) to (10, 1) is -8/8. So our point would only move 3/8 of that distance. If we multiply -8 and 8 by 3/8, we have -3 and 3.

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3 years ago
Why numbers are written as powers?
pishuonlain [190]

Answer:

Answer below

Step-by-step explanation:

Large numbers like 100 billion are cumbersome to write out in ordinary form (100,000,000,000) and so scientists use a shorthand notation called powers of ten. ... The exponent tells you how many times ten is to be multiplied by iteslf to equal the number you wish to write. For example, 100 can be written as 10x10 = 102.

Hope this helps!

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2 years ago
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Answer:

Step-by-step explanation:

total weight is 4 tons.

ratio of weight of truck to weight of coal is 7:5....added = 12

so 7/12 of the total weight is the truck's

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