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ahrayia [7]
3 years ago
5

Which is the midpoint of the segment joining (12, 2) and (-5, – 7)?

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

Answer:

m(x, y)=(\frac{7}{2} , -\frac{5}{2} )

Step-by-step explanation:

Midpoint of line segment is calculated as

m(x, y)=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )  -----------(1)

Here

(x_1, y_1) = (12,2) \ \  and \ \ (x_2, y_2) = (-5, -7)

Substituting values in equation (1)

m(x, y)=(\frac{12-5}{2} , \frac{2-7}{2} )

m(x, y)=(\frac{7}{2} , -\frac{5}{2} )

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if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t
AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0
3 years ago
Which of the following inequalities best represents the graph above?
Montano1993 [528]
The inequality n <span>≥ 9 properly represents the graph because the arrow is pointing to the right of 9, and the dot is filled in on 9, representing Greater than or equal to.
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8 0
3 years ago
Read 2 more answers
Please answer correctly! I will mark you as Brainleist!
timofeeve [1]

Answer:

1047.2 cubic inches

Step-by-step explanation:

V = 4(pi)(r³/3)

V = 4(pi)(125/3)

V = 523.6 cubic inches (1 ball)

V = 2(523.6) = 1047.2 cubic inches (total)

6 0
3 years ago
What is the equation of the line that passes through points (-3, 0.5) and (3, -0.5)
marissa [1.9K]

Answer:

y = (-1/6)x

Step-by-step explanation:

As we move from  (-3, 0.5) to (3, -0.5), x increases by 6 and y decreases by 1.

Hence, the slope of this line is m = rise / run = -1/6.

Starting with the slope-intercept form of the equation of a straight line, we have:

y = mx + b.  We substitute 0.5 for y, -3 for x and -1/6 for m, obtaining:

0.5 = (-1/6)(-3) - b, or:

0.5 = 0.5 - b.  Then b = 0, and the desired equation is

y = (-1/6)x

7 0
3 years ago
Part B what are the probabilities of each outcome in the sample space? select all that apply
zepelin [54]

Answer:

C, D, and E are correct

Step-by-step explanation:

p(2)= 1/6; p(3)= 1/6; p(4)= 1/6; 1/6=1/6=1/6

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Hope this helped! ;p

7 0
3 years ago
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