All categories

2 years ago

Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).

Mathematics

1 answer:

wlad13 [49]2 years ago

7 0

Answer:

(x2 , y2) = (22,50)

Step-by-step explanation:

Given:

m1 : m2 = 1:4

(x1 , y1) = (7 , 5)

(X ,Y) = (10 ,14)

Find:

(x2 , y2)

Computation:

X = (m1x2 + m2x1) / (m1+m2)

10 = [(1)(x2) + (4)(7)]/(1+4)

10 = [x2 + 28]/5

22 = x2

Y = (m1y2 + m2y1) / (m1+m2)

14 = [(1)(y2) + (4)(5)]/(1+4)

14 = [y2 + 20]/5

70 = y2 + 20

50 = y2

(x2 , y2) = (22,50)

You might be interested in

Which of the following is a pair of vertical angles ?

nikklg [1K]

Vertical angles<span> are the angles opposite each other when two lines cross, so
</span>∠AOB and ∠DOC are vertical.

5 0

3 years ago

Read 2 more answers

A painter charges $12 per hour plus $50 for every job. If he made $194 on a job, how many hours did he work?

Novosadov [1.4K]

Answer:

Step-by-step explanation:

194-50=144

144/12=12

8 0

2 years ago

Read 2 more answers

Zinaida [17]

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

6 0

2 years ago

Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

il63 [147K]

Answer:

$\frac{35}{2}$

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

$3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}$

$5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}$

Then, evaluating the expression:

$\frac{10}{3}$ × $\frac{21}{4}$ = $\frac{210}{12}$ = $\frac{35}{2}$

4 0

3 years ago

A woman is standing at the edge of a slow-moving river which is one mile wide, and she wishes to return to her campground on the

vesna_86 [32]

Answer:

the best option would be to swim

Step-by-step explanation:

Hello! To solve this problem we must follow the following steps.

1. remember the concept of uniform motion with constant speed, which establishes the following equation

$t=\frac{X}{V}$

where

t=time

x=distance

V=speed

2. Calculate the time it takes to swim and calculate the time it takes to walk

walking:

x=10mile

v=5milles/h

$t=\frac{10}{5} =2h$

swimming

x=1mile

v=3milles/h

$t=\frac{1}{3} =0.3h$

3. Compare both results and choose the one with the least time.

as you can see it takes less time swimming, so this would be the best way

7 0

3 years ago