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nikklg [1K]
3 years ago
13

Is (3,4) a solution to the system of equations. X + y = 7 x - 2y = - 5

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer: Yes, the point (3,4) is a solution to the system.

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

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

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Answer:

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Step-by-step explanation:

(p . q)(8) means do q first to 8 then do p to that, which is the same as writing p(q(8)). Then just plug the numbers in.

q(8)=√8+8=√16=4

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The second one is the opposite order but same reasoning.

p(8)=8^2+9=64+9=73

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Answer:

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Step-by-step explanation:

The triangle above is an <em>"acute triangle"</em> because the measurement of each angle is <em>less than 90°</em>. However, there are three types of acute triangle and these are: <em>Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.</em>

When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If <u><em>none of the angles are the same </em></u>but all are less than 90°, which also means that the<u><em> sides are also unequal</em></u>, then it is an Scalene Acute Triangle.

The triangle above has <em>different angle measurements of less than 90°</em>. Therefore, it is an Scalene Acute Triangle.

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Read 2 more answers
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