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Whitepunk [10]
3 years ago
5

Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)? (1 point)

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Given:

The solution of two equation is (3,-6).

To find:

The graphs that shows a pair of lines that represents the equations with the solution (3, −6).

Solution:

In first graph, both line intersect each other at point (-6,3). So, the solution of the pair of lines is (-6,3).

In second graph, both line intersect each other at point (-3,6). So, the solution of the pair of lines is (-3,6).

In third graph, both line intersect each other at point (3,-6). So, the solution of the pair of lines is (3,-6).

In forth graph, both line intersect each other at point (6,-3). So, the solution of the pair of lines is (6,-3).

Therefore, the correct option is C.

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A. The length of the second leg is 8.5 inches

B. The length of the three-dimensional diagonal is 9.9 inches

Step-by-step explanation:

Let us revise the relation between the hypotenuse and the two legs of a right triangle

(hypotenuse)² = (vertical leg)² + (horizontal leg)²

∵ The length of the rectangular box = 8 inches

∵ The width of the rectangular box = 3 inches

∵ The height of the rectangular box = 5 inches

∵ Length and width are perpendicular to each other

∴ The Δ whose legs are 3 and 8 is a right triangle

In the right Δ whose legs are 3 and 8

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A.

The 3-dimensional diagonal is the hypotenuse of a right triangle whose legs are the vertical edge and the hypotenuse of the right triangle whose legs are 3 and 8

∵ The hypotenuse of the right triangle whose legs are 3 and

   8 is 8.5 inches

∴ The length of the second leg is 8.5 inches

B.

In the right triangle whose hypotenuse is the 3-dimensional diagonal and legs are the vertical edge , the hypotenuse of the right triangle whose legs are 3 and 8

∵ (3-dimensional diagonal)² = (5)² + (73)²

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- Take √ for both sides

∴ 3-dimensional diagonal = \sqrt{98} = 9.899494937

- Round it to the nearest tenth of an inch

∴ 3-dimensional diagonal = 9.9 inches

∴ The length of the three-dimensional diagonal is 9.9 inches

<em>V.I.N: you can find the length of the  three-dimensional diagonal by using this rule → </em>d=\sqrt{l^{2}+w^{2}+h^{2}}<em> </em>

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