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steposvetlana [31]

3 years ago

13

given line segment jl with j(8 -8) and l(-16 -2) find the coordinates of K if K divides line segment JL two-thirds of the way fr

om J to L

1 answer:

Masja [62]3 years ago

4 0

Answer:

(-8, -4)

Step-by-step explanation:

<h3>Given</h3>

Line segment JL with J(8, -8) and L(-16, -2)

<h3>To find</h3>

Coordinates of K if K divides JL two-thirds from J

<h3>Solution</h3>

JK = 2/3JL

<u>Coordinates of K</u>

x = 8 + 2/3(-16 - 8) = 8 + 2/3(-24) = 8 - 16 = - 8
y = -8 + 2/3(-2 - (-8)) = -8 + 2/3(6) = -8 + 4 = - 4
K = (-8, -4)

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The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of

seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

We are given the scale of

1: 5000

This means

1 km = 5000 cm

Hence:

1 km = 5000cm

0.625 km = x cm

Cross Multiply

x cm = 0.625 × 5000 cm

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Therefore, the length in centimetres between the two villages is 3125cm

5 0

3 years ago

How to do this question plz

Artyom0805 [142]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Determine the first four terms of the sequence in which the nth term is a_n=(n+1)!/(n+2)!

Vilka [71]

Answer: Choice B) 1/3, 1/4, 1/5, 1/6

=============================================

Plug in n = 1 to find the first term

a_n = ( (n+1)! )/( (n+2)! )

a_1 = ( (1+1)! )/( (1+2)! )

a_1 = ( 2! )/( 3! )

a_1 = ( 2*1 )/( 3*2*1 )

a_1 = 2/6

a_1 = 1/3

The first term is 1/3. Optionally you can stop here because only choice B has 1/3 listed as the first term, so this must be the answer. However, I'm going to keep going to show how to find the three other terms. This will help confirm why choice B is the answer, and it will be handy for those times when you aren't given multiple choice answers.

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

Plug in n = 2

a_n = ( (n+1)! )/( (n+2)! )

a_2 = ( (2+1)! )/( (2+2)! )

a_2 = ( 3! )/( 4! )

a_2 = ( 3*2*1 )/( 4*3*2*1 )

a_2 = 6/24

a_2 = 1/4

The second term is 1/4

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

Plug in n = 3

a_n = ( (n+1)! )/( (n+2)! )

a_3 = ( (3+1)! )/( (3+2)! )

a_3 = ( 4! )/( 5! )

a_3 = ( 4*3*2*1 )/( 5*4*3*2*1 )

a_3 = 24/120

a_3 = 1/5

The third term is 1/5

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

Plug in n = 4

a_n = ( (n+1)! )/( (n+2)! )

a_4 = ( (4+1)! )/( (4+2)! )

a_4 = ( 5! )/( 6! )

a_4 = ( 5*4*3*2*1 )/( 6*5*4*3*2*1 )

a_4 = 120/720

a_4 = 1/6

The fourth term is 1/6

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The first four terms are: 1/3, 1/4, 1/5, 1/6, so that confirms why choice B is the answer.

4 0

3 years ago

Write the point-slope form of the equation of the line through the given point with the given

UNO [17]

Answer:

The point-slope form of the equation is:

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Step-by-step explanation:

Given

point (3, -5)

slope = -3

We know the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values m = -3 and the point (3, -5)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-5\right)=-3\left(x-3\right)$

Thus, the point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

6 0

3 years ago

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s344n2d4d5 [400]

Answer:

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6 0

3 years ago