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Lelu [443]
3 years ago
15

Pb is a line segment on a number line. It has endpoints at -2and 12. What is the coordinate of its midpoint?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Given: PB is a line segment on a number line.

The endpoints of the line segment are -2 and 12.

We have to determine the coordinate of its midpoint.

The coordinate of its midpoint is calculated by adding the coordinates of the line segment and then dividing it by 2.

Therefore, Coordinates of Midpoint = \frac{-2+12}{2}

= \frac{10}{2}

= 5

Hence, the coordinate of the midpoint of the line segment PB is 5.

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Through: (-5,2), slope=-4/5
Oksana_A [137]

Answer:

<h2>y - 2 = -4/5(x + 5)</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

We have the slope m = -4/5 and the point (-5, 2). Substitute:

y-2=-\dfrac{4}{5}(x-(-5))\\\\y-2=-\dfrac{4}{5}(x+5)

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Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6
vesna_86 [32]
This is an Arithmetic Progression with 1st term 11 and common difference d=6

Number of Rows     Number of seats      Common difference " d" 
-----------------------     -----------------------     -------------------------------------
1st                                  a₁     = 11                                 
2nd                                 a₁+d =17               d =2nd - 1st = 6
3rd                                  a₁ +2d = 23           d =3rd - 2nd = 6
4th                                  a₁ +3d = 29            d= 4th - 3rd = 6
-------------------------------------------------------------------------------
nth ROW                         a(n) = a₁ + (n-1)d
18th ROW                       a₁₈ =   11 + (18-1).6 = 11+(17)(6) = 113 

General equation to predict the number of seat an the nth row:
Number of seats in nth row = a₁ + (n-1).d
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3 years ago
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