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s344n2d4d5 [400]
2 years ago
9

Select the correct figures.

Mathematics
1 answer:
Contact [7]2 years ago
5 0

Answer:

3rd one and last one

Step-by-step explanation:

First one:

4 × 3 × 4 = 48

Second one:

1 × 2 × 4 = 8

Third one:

2 × 3 × 5 = 30

Fourth one:

2 × 5 × 4 = 40

Fifth one:

2 × 2 × 4 = 16

Process of elimination:

The first one is itself greater than 47 units³, so this is definitely not one of the two;

A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;

This leaves the second, third and fifth;

The second and third sum to 38, which is less than 42 so it is not the correct combination;

Similarly, the second and last gives only 24 so it is not the correct combination;

This leaves the only remaining option of the third and fifth;

30 + 16 = 46, which confirms this to be the correct combination.

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The relationship between x and y is represent as:

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The standard form of equation of line is:

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Consider any two set x and y values from the given relationship.

Let (-2, 10) and (-1,7.5)

\text{Substitute x}_1=-2,y_1=10,x_2=-1,y_2=7.5\text{ in the standard equation of line.}

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The equation of the linear relationship between x and y is:

y = -2.5(x + 2) + 10

Now, to check that the point (9, -17.5) lies on the represented relationship between x and y

Substitute x = 9 and y = -17.5 in the equation y = -2.5(x + 2) + 10

y = -2.5(x + 2) + 10

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Thus, LHS = RHS

Hence the point (9, -17.5) lie on the given linear relationship between x and y.

Answer: The point (9, -17.5) lie on the given linear relationship between x and y.

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