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Arte-miy333 [17]
3 years ago
5

What's is a supplementary angle

Mathematics
2 answers:
alex41 [277]3 years ago
8 0
Either of two Angles whose sum is 180 degrees
Degger [83]3 years ago
6 0

If two angles are supplementary, then the sum of their measures is 180 degrees. In the image attached below, these angles are supplementary because the sum of their measures equals 180°. When two angles are supplementary, we say that one angle is the supplement of the other.

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Which of the following functions has a range of all real numbers?
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Only the function in C has the range of all real numbers.
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Please help with this<br><br>​
julia-pushkina [17]

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-11

Step-by-step explanation:

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Heeeeelp Find the distance of AB if A (2, 6) and B (-5, 2).
evablogger [386]

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let A (2, 6) be (x1, y1)

B (-5, 2)  be (x2, y2)

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                    √[(-7)²+ (-4)²]

                   √65

                   

7 0
3 years ago
Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

7 0
3 years ago
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