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dlinn [17]
3 years ago
8

6. A plane that carries mail makes a round trip each day from Chicago to New York.

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

7

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.  

So, cumulatively the altitude will touch the horizontal axis seven times.

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Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6
krok68 [10]

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

6 0
2 years ago
Find the quotient. –150 ÷ 3 brain liest for whoever does it!!
musickatia [10]

Answer:

-50

Step-by-step explanation:

3 0
3 years ago
A ladybugs length measures 2cm express this measurement in meters explain your thinking include an equation with an exponent in
Ksivusya [100]
All we really need to do here is to convert 2 cm to meters.  There are 100 cm in 1 meter, so the appropriate cm to meters conversion factor is 

1 meter
-----------
100 cm

Thus, 

2 cm       1 m
-------- * ----------- = (1/50) m = 0.02 m      or  2.0*10^(-2) m     (answer)
    1        100 cm
7 0
3 years ago
Slove................
m_a_m_a [10]

Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.

Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.

Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.

Hope this helps!

3 0
3 years ago
Read 2 more answers
What's the opposite of-2 2/3
Citrus2011 [14]
The oppiste of -2 2/3 is 2 2/3
6 0
3 years ago
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