Solve the equation. n+34=14

Mathematics

2 answers:

Lunna [17]3 years ago

8 0

Answer:

n = -20

Step-by-step explanation:

n + 34 = 14

--------------------

n + 34 - 34 = 14 - 34

n = -20

wlad13 [49]3 years ago

4 0

Answer:

n = -20

Step-by-step explanation:

Subtract 34 on both sides of the equation:

n = 14 - 34

n = -20

Hope this helps!

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Dvinal [7]

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Step-by-step explanation:

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3 years ago

Let A=(-6,7), B=(-4,11), and C=(-2.10) be three points in the coordinate plane (A) Verify that the three points form a right tri

faust18 [17]

Answer:

(A) see below

(B) the right angle is at vertex B(-4,11)

(1) 3x -4y = -46

(E) the midpoint is (-4, 8.5)

Step-by-step explanation:

(A) The slope of line AB is Δy/Δx = (11-7)/(-4-(-6)) = 4/2 = 2. The slope of line BC is (10-11)/(-2-(-4)) = -1/2. The slopes of AB and BC have a product of 2(-1/2) = -1, so are the slopes of perpendicular lines. The points are distinct, and lines joining two pairs of them are at right angles, so the points form a right triangle.

(B) Point B(-4,11) is the point of intersection of perpendicular segments AB and BC, so is the location of the right angle.

(1) The slope of the hypotenuse AC is ...

Δy/Δx = (10-7)/(-2-(-6)) = 3/4

In point-slope form, the equation for the line through point A with this slope is ...

y -7 = 3/4(x +6) . . . . point-slope form of the equation of the hypotenuse

4y -28 = 3x +18 . . . . multiply by 4

-46 = 3x -4y . . . . . . subtract 18+4y

3x -4y = -46 . . . . . . . standard form equation of the hypotenuse

(E) The midpoint of the hypotenuse is the average of the endpoint coordinates:

M = (A + C)/2 = (-6-2, 7+10)/2 = (-4, 8.5)

The midpoint of the hypotenuse is M(-4, 8.5).