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Alina [70]
3 years ago
15

Is (-4,2) a solution of 3y-2x=14?

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0
We plug the x value (-4) and y (2) into this equation to check.

3(2) - 2(-4) = 14.  Let's see if this works.  6 + 8 = 14, 14 = 14.  Yes, that is a solution.
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Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

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Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

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Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0
3 years ago
Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Sindrei [870]

Answer:

<u>f(g(x)) = 9x² + 15x + 2</u>

Step-by-step explanation:

  • f(x) = x² + 5x + 2
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<u>Solving f(g(x))</u>

  • f(g(x))
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  • f(3x) = 9x² + 15x + 2
  • <u>f(g(x)) = 9x² + 15x + 2</u>
8 0
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Answer:

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Step-by-step explanation:

7 0
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masya89 [10]
Answer:
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Explanation:
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1- Right-angled triangle: Triangle that has one of its angles = 90°
2- Acute-angled triangle: Triangle that has all of its angles less than 90°
3- Obtuse-angled triangle: Triangle that has one of its angles greater than 90°

The attached image shows an obtuse-angled triangle. We can note that measure ∠B is greater than 90°

Hope this helps :)

7 0
4 years ago
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