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Lunna [17]
3 years ago
14

Find the midpoint of the line segment joining points A and B. A(2, - 5); B(4,1)

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

(3, -2)

Step-by-step explanation:

Find the midpoint coordinates (x, y) of points A(2, - 5) and  B(4, 1)

x-coordinate of the midpoint is (2+4)/2 = 6/2= 3

y-coordinate of the midpoint is (-5+1)/2 = -4/2= -2

The mid point coordinates are (3, -2)

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Which expression can be used to determine the length of segment ZY?
katrin2010 [14]

As we move from point Z to point Y, x increases by 8 and y increases by 3.  Thus the length of line segment ZY is sqrt(8^2 + 3^2) = sqrt(73), by the Pythagorean Theorem.  That's approx. 8.54.

You could also leave your answer in the form √(8^2 + 3^2).

7 0
3 years ago
Read 2 more answers
I know the answer I got is wrong help.
irinina [24]

Answer:

∠2 = 18°

Step-by-step explanation:

∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2

∠WXZ = 3∠2 + ∠2, that is

72 = 4∠2 ( divide both sides by 4 )

18 = ∠2, that is

∠2 = 18°

   

8 0
3 years ago
Approximately how much more quickly (in mph) does a pilot traveling 400 mph and rising at an angle of 30o gain altitude versus a
REY [17]
We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance

If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.

Find the height of first pilot
height/distance = sin x 
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200

Find the height of second pilot
height/distance = sin x 
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192

So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°

3 0
3 years ago
Maths question on algebraic equations ​= due in 10 minutes
erma4kov [3.2K]

Answer:

108 degrees.

Step-by-step explanation:

2x + 16 = 3x - 12  (corresponding angles; AB parallel to CD).

16 + 12 = 3x - 2x

x = 28.

So the angle marked 3x - 12 = 3(28) - 12

= 72 degrees.

Angle y is adjacent to the angle so

y = 180 - 72

= 108 degrees.

4 0
3 years ago
Bill says that the algebraic expression 6y+3-y has been simplified. Is Bill correct? Explain.
Nadya [2.5K]
no it is not simplified because there are two y values
6 0
2 years ago
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