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Maslowich
2 years ago
14

Is a triangle with the angles 60 degrees, 40 degrees, and 80 degrees unique?

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
5 0

Hello,

No a triangle with these angles are not unique. This is because every triangle is supposed to have 180 degrees, just like this one.

Have a great day!

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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have V=IR^{2} and let H be the subset of V of all points on the line

4x+3y=12

We need to find if H is a subspace of the vector space V.

In IR^{2} all the possibilities for own subspace of the vector space IR^{2} are :

  • IR^{2} itself.
  • The vector 0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]
  • All lines in IR^{2} that passes through the origin  (  0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]  )

We know that H is the subset of IR^{2} of all points on the line 4x+3y=12

If we look at the equation, the point \left[\begin{array}{c}0&0\end{array}\right] doesn't verify it because :

4x+3y=12\\4(0)+3(0)=12\\0=12

Which is an absurd. Therefore, H doesn't contain the origin (and H is a line in IR^{2}). Finally, it can't be a vector space of V=IR^{2}

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2 years ago
Please tell me how much it would be for 1
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What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4
Dmitry_Shevchenko [17]
   
<span>The equation is:   4x + y + a = 0

Point (4, -3)  </span>⇒  x = 4  and  y = - 3<span>

</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0

13 + a = 0

a = -13

</span>Ansver:   equation is:   4x + y - 13 = <span>0     OR     4x + y = 13
</span>


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What is the value of x? 1/2(x-14)+11=1/2x-(x-4)
mylen [45]
The answer is x=0 hope this helps
6 0
3 years ago
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Which equation represents a line that passes through (–2, 4) and has a slope of 2/5
cupoosta [38]

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

y - 4 = 2/5 (x - (-2))

y - 4 = 2/5 (x + 2)

Hope this helps! :)

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