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2 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]2 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]2 years ago

3 0

Answer:

(7,4)

Step-by-step explanation:

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3 years ago

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Nutka1998 [239]

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Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

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2 years ago

Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.

Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).

$2x^{4} +x^{2}-10x-1$ = P(x) divided by $(x+2)$

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e. (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

$2(-2)^{4}+(-2)^{2}-10(-2)-1$

= $2(16) + 4 +20 -1$

= $32 +4 + 20 - 1$

= $55$ = Remainder

Hence, Remainder is 55.

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2 years ago

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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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3 years ago

{8x [1+(20-6)]}÷ 1/2=

IceJOKER [234]

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3 years ago