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tino4ka555 [31]
3 years ago
7

Which is a line segment

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
A line segment is a line with two end points. Hope this helped! Good luck! :)
ololo11 [35]3 years ago
5 0
<span>The part of a line that connects two points.</span>
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Use undetermined coefficients to find the particular solution to 7t + 5=y''+y'-4y У, (t) - Preview Get help: Video Points possib
lions [1.4K]

Suppose y_p=a_0+a_1t is a solution to the ODE. Then {y_p}'=a_1 and {y_p}''=0, and substituting these into the ODE gives

a_1-4(a_0+a_1t)=7t+5\implies\begin{cases}-4a_1=7\\-4a_0+a_1=5\end{cases}\implies a_0=-\dfrac{27}{16},a_1=-\dfrac74

Then the particular solution to the ODE is

y_p=-\dfrac{27}{16}-\dfrac74t

5 0
3 years ago
Mrs. Bell has 24 students. Mr. Dole has 36 students in his class. The two classes are working on the same project and so the stu
Hunter-Best [27]

Answer:

12 students per group

Step-by-step explanation:

6 0
3 years ago
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A water balloon is tossed into the air with an upward velocity of 40 ft/sits height h(t) in ft after t seconds is given by the f
olga_2 [115]

h(t) = -46t² + 40t + 3

We can think this graph by t being the x-axis and h being y-axis

So we want the maximum value to y.

We know by math that the vertex of a parabola is (-b/2a, -Δ/4a)

So the y value of the vertex is -Δ/4a

Let's calculate:

Δ = b² - 4.a.c

Δ = 40² - 4.(-46).3

Δ = 2152

Yvertex = -2152/4.(-46)

Yvertex = 2152/184

Yvertex = 269/23

Now we have the value of y we need to equal it to the equation

269/23 = -46t² + 40t + 3

-46t² + 40t + 3 - 269/23 = 0

-46t² + 40t - 200/23 = 0

Δ = b² - 4.a.c  

Δ = 40² - 4 . -46 . (-200/23)  

Δ = 1600 - 4. -46 . (-200/23)  

Δ = 0

There's 1 real root.

In this case, x' = x'':

x = (-b +- √Δ)/2a

x' = (-40 + √0)/2.-46    

x'' = (-40 - √0)/2.-46

x' = -40 / -92    

x'' = -40 / -92

x' = 0,43478260869565216    

x'' = 0,43478260869565216

So, after approximately 0,4348 seconds the balloon will reach the highest point.

B) height after 2 seconds

h(2) = -46.2² + 40.2 + 3

h(2) = -46.4 + 80 + 3

h(2) = -184 + 83

h(2) = -101

Not sure how it's possible but it would be -101.

4 0
4 years ago
The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that
Gekata [30.6K]

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.  

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

  • Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

  • Triangle CBA is similar to Triangle FED. (Option A)

Also,

  • Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

5 0
3 years ago
Help please!!<br> .<br> .<br> .<br><br> .
rjkz [21]

Answer:

2nd Triangle:

1st line: Given, but if you were given that JK and MP were parallel, you'd use the phrase "If 2 parallel lines are cut by a transversal, alternate interior angles are congruent".

2nd line: Given. If you were given something like "JP bisects KM, or "JP and KM bisect each other", you'd write "bisectors cut lines equally in half".

3rd line: Vertical angles are congruent. Angles opposite each other (like JLK and MLP are vertical and always congruent.

4th line: SAS (or side angle side) You have an angle, a side, and an angle all in order. Therefore it's SAS.

Show me the full screenshots of the other 2 and I'll happily solve them.

3 0
3 years ago
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