Ask question

Ask question

All categories

LuckyWell [14K]

3 years ago

7

Point R is located at (3,2) and point S is located at (8,15) . What are the coordinates of the point that partitions the direct

ed line segment RS in a 1:3 ratio

1 answer:

faltersainse [42]3 years ago

8 0

The coordinates of the point can be solve using the fomula:

x = x1 + r( x2 - x1 )
y = y1 + r( y2 - x1)
where r is the ratio that partitions the segment
x = x1 + r( x2 - x1 )
x = 3 + 1/3( 8 - 3 )
x = 3 + 1/3( 5 )
x = 14/3
y = y1 + r( y2 - x1)
y = 2 + 1/3( 15 - 2)
y = 2 + 1/3( 13 )
y = 19/3
so the coordinate is ( 14/3 , 19/3 )

You might be interested in

Can someone help me solve this question I can't seem to manage it

MAXImum [283]

Answer:

LA=6 WA=4 LB=6 WB=2

Step-by-step explanation:

Its a square so the sides are 6cm. 2:1 ratio means A is 6*4=24 cm while B is 6*2=12cm.

6 0

3 years ago

Tara and jodys bedrooms are shaped like rectangles . Tara bedroom is 9 feet long and 8 feet wide. jodys bedroom is 7 feet long a

evablogger [386]

We know that the area of a rectangle is A=L*W
A of Tara's bedroom,
A(Tara)=9*8=72 square feet
A(Jody)=7*10=70 square feet

Tara's bedroom has a greater area

7 0

3 years ago

Need help asap!!!!!!!!!!!

salantis [7]

Answer:

the answer should be d for tour answer

3 0

3 years ago

Identify the slope and the y-intercept of the line.<br> y = 3x + 9

Sonja [21]

Answer:

slope = -3 , y-intercept = 9

Step-by-step explanation:

6 0

2 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago