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LekaFEV [45]
3 years ago
15

M is the midpoint of segment AB. If AM = 4x – 22 and MB = 2x + 14. Solve for x

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

x=18

Step-by-step explanation:

am=by which means you can make the equations equal each other

4x-22=2x+14

2x=36

x=18

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A particular model rocket kit uses the scale 1:144. The actual rocket is 168 ft tall. How tall will the model rocket be when com
Svetlanka [38]
Our basis is the given ratio of 1:44. The actual rocket is obviously larger than the model rocket. Thus, it means that for every 44 ft of the actual rocket, the scale of the model rocket would be 1 ft. Through ratio and proportion, the solution is as follows:

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7 0
3 years ago
Number of Packets
Alex

Answer:

13. D = 18

14. S = (x, y + 6)

Step-by-step explanation:

13.

Given

M = (-8,2)

S = (10,2)

Required

Determine the distance between M and S

Distance (D) is calculated using:

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Where

(x_1,y_1) = (-8,2)

(x_2,y_2) = (10,2)

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}

D = \sqrt{(10 +8)^2 + 0^2}

D = \sqrt{18^2 + 0}

D = \sqrt{18^2}

D = 18

<em>Hence, the distance between M and S is 18 units</em>

<em></em>

14.

The coordinate of S and P are not given,

So, I'll just use (x,y) for P

i.e.

P=(x,y)

Required

Determine the coordinates of S

If S is 6 units above P, then the coordinates of S is

S = (x, y + 6)

<em>i.e. we add the units to the y coordinate of P.</em>

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Answer:

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Step-by-step explanation:

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