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3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(10, 1) and K(4, 7).

Mathematics

2 answers:

Oliga [24]3 years ago

5 0

The formula of a midpoint of a segment AB:

$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have:

H(10; 1); K(4; 7)

substitute:

$M_{HK}\left(\dfrac{10+4}{2};\ \dfrac{1+7}{2}\right)\to M_{HK}\left(\dfrac{14}{2};\ \dfrac{8}{2}\right)\to M_{HK}(7;\ 4)$

Answer: (7, 4)

inn [45]3 years ago

3 0

Answer:

(7,4)

Step-by-step explanation:

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If 15 chocolates cost $11 then how much will one chocolate cost

mina [271]

Answer:

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Explanation:

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3 years ago

A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a . If the vertex C(11, -1) we

rosijanka [135]

Answer:

Quadrilateral A(11, -7), B(9, -4), C(11, -1), and D(13, -4) forms a rhombus.

Quadrilateral A(11, -7), B(9, -4), C'(11,1), and D(13, -4) forms a kite.

Step-by-step explanation:

Rhombus is a quadrilateral whose all sides have equal length.

Kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides which are adjacent to each other.

The quadrilateral formed by the vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4) would result in a rhombus (see figure below) because it had four equal sides.

If C(11,-1) is shifted to the point C'(11,1), it would become a kite (see figure below) because it has two pairs of equal sides.

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4 years ago

The midpoint of AB is M(0,6). If the coordinates of A are (-3, 4), what are

Korolek [52]

Answer:

B(3,8)

Step-by-step explanation:

M(0,6) A(-3,4) B(x,y)

0= $\frac{-3+x}{2}$ 6= $\frac{4+y}{2}$

0=-3+x 12=4+y

x=3 y=8

B(3,8)

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4 years ago