MATHEMATICS HIGH SCHOOL

Point G is located at (3, −1) and point H is located at (−2, 3). Find y value for the point that is 2 over 3 the distance from point G to point H.

Answers

Answer 1
Answer:

Answer: The answer is (5)/(3).

Step-by-step explanation:  Given that the co-ordinates of point G and H are (3, -1) and (-2, 3) respectively.

We are to find the y-value of the point P that is located at two-third distance from point G to point H.

As shown in the attached figure, the ration in which the point P divides the line segment GH is 2 : 1.

Therefore, the co-ordinates of point P will be

\left((2* (-2)+1* 3)/(2+1),(2* 3+1* (-1))/(2+1)\right)\n\n\n=\left((-4+3)/(3),(6-1)/(3)\right)\n\n=\left((-1)/(3),(5)/(3)\right).

Thus, the y-value of the point P is (5)/(3).
Answer 2
Answer: B. 1.67
m : n = 2 : 1
 ( x, y ) = ( (1*3 + 2*(-2))/(2+1) ;  (1 * (-1) + 2 * 3) /(2 + 1) ) =
 = ( (3-4)/3  ; (-1+6)/3 ) 1.67

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INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

Answers

There are an infinite number of them.
Here are a few:

2.1
2.2
2.3
2.3000000001
2.30000000000000006
2.5
2.00009
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.
etc.

How to find them:

You probably never heard this before, but I'll bet
you'll remember it from now on:

ANY number that you can write down on paper completely, using digits
and a decimal point if you need it but no symbols, is a rational number.

If you can write it down completely without any 'comments', then it's rational.

Rachel buys 10m of rope and cuts5 pieces form, each 1.2 meters to tie up things. she then cuts the reaming into some pieces each of length 0.6 meter how many pieces of rope of length 0.6 meter did he cut

Answers

Rachel initially cuts 5 pieces of rope, each measuring 1.2 meters. Therefore, she has used a total of 5 * 1.2 = 6 meters of rope for these 5 pieces.
Now, to find out how much rope is remaining, we subtract the length used from the total length of 10 meters: 10 - 6 = 4 meters.
Rachel then cuts the remaining rope into pieces of length 0.6 meters each. To find out how many such pieces she can make, we divide the remaining length by the length of each piece: 4 / 0.6 = 6.67.
However, since we cannot have a fraction of a piece, we round down to the nearest whole number. Therefore, Rachel cut 6 pieces of rope, each measuring 0.6 meters, from the remaining 4 meters of rope.

Refer to the following conditional statement:If a and b are odd integers, then a - b is an even integer.

Which answer is the hypothesis?
a. a and b are odd integers
b. a - b is an even integer
c. a and b are not odd integers
d. a - b is not an even integer

I do not know logic and reasoning in math. please help!!!!!

Answers

The answer is B, I'm sure of it

1. Discuss the differences between the measurement of the surface area and the measurement of the volume of a right rectangular prism. Include the following topics in your discussion:• Description of regions that are measured
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Answers

Surface area define or calculate the exact space that each face of the said shape is taken up while the volume is how much space is inside the said object. The area use the unit that is squared because it only measured 2 face in the shape while the volume measures 3 faces in the object. an example of an area is a card board area, while the volume is the glass of water.

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