1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
3 years ago
9

(GEOMETRY HELP PLS) What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is 2/3 th

e length of the line segment from A to B?
(2, –1)

(4, –3)

(–1, 2)

(3, –2)

Mathematics
2 answers:
kicyunya [14]3 years ago
6 0
Coordinate of P is <span>(–1, 2)</span>
VLD [36.1K]3 years ago
6 0

The x- and y- coordinates of point P on the directed line segment from A to B is \left({3,-2}\right)

Further explanation:

Given:

The options of the point P are as follows.

a.\left( {2,1}\right)

b.\left({4,-3}\right)

c.\left({-1,2}\right)

d.\left( {3,-2}\right)

Explanation:

The x-coordinate and y- coordinate of point P on the directed line segment from A to B such that P is \dfrac{2}{3} the length of the line segment from A to B.

The given ratio is \dfrac{2}{3}.

The line intersect the points that are \left( {-6,7}\right) and \left( {9,-8}\right).

The slope of the line can be obtained as follows.

\begin{aligned}m&=\frac{{ - 8 - 7}}{{9 + 6}}\\&=\frac{{ - 15}}{{15}}\\&= - 1\\\end{aligned}

They-coordinate point P can obtain as follows,

\begin{aligned}y- {\text{coordinate}}&= \frac{2}{3}\left( {{y_2} - {y_1}} \right)\\&= \frac{2}{3}\left( { - 15}\right)\\&= - 10\\\end{aligned}

Now start from point A and move point 10 units in upward direction.

The x-coordinate point P can obtain as follows,

\begin{aligned}x - {\text{coordinate}}&=\frac{2}{3}\left( {{x_2} - {x_1}} \right)\\&=\frac{2}{3}\left( {15}\right)\\&= 10\\\end{aligned}

Now start from point A and move point 10 units in left direction.

The x- and y- coordinates of point P on the directed line segment from A to B is \left({ - 1,2}\right).

Option (a) is not correct as the coordinates of point P is \left( { - 1,2}\right).

Option (b) is not correct as the coordinates of point P is \left( { - 1,2}\right).

Option (c) is correct as the coordinates of point P is \left({ - 1,2}\right).

Option (d) is not correct as the coordinates of point P is \left( { - 1,2}\right).

Hence, \boxed{{\text{Option (c)}}} is correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequalities

Keywords: numbers, slope, slope intercept, inequality, equation, linear equation, shaded region, y-intercept, graph, representation, origin, perpendicular, x-intercept 6.

You might be interested in
Order from least to greatest v/79, 8.7, 26/3, 8.83
Ganezh [65]
In order from least to greatest is 8.7, 8.83, 26/3, 79
5 0
2 years ago
What is the value of (f-3)?
almond37 [142]

Simply substitute the value of

3

given. In other words,

f

(

3

)

is the function of

f

(

x

)

, however, in this case,

x

is

3

f

(

3

)

=

3

(

3

)

−

4

Distribute

3

through the parenthesis

f

(

3

)

=

9

−

4

Simplify

f

(

3

)

=

5

8 0
2 years ago
As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have T = 1.9855.

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{5.6}{\sqrt{96}} = 0.57

Now, we multiply T and s

M = T*s = 1.9855*0.57 = 1.31

For the lower end of the interval, we subtract the mean by M. So 19.6 - 1.31 = 18.29

For the upper end of the interval, we add the mean to M. So 19.6 + 1.31 = 20.91

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
3 years ago
Which of the following equations have the correct notation? Check all that apply. (Btw, most of my questions are from Apex learn
Llana [10]
The best and most correct answer among the choices provided by the question is the third choice.

The notation "<span>AB (with line over) =4" is the equation that has the most correct notation.</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
3 0
2 years ago
Read 2 more answers
PLEASE HELP MEEE!! THIS IS DUE IN THE NEXT 45 MINS PLEASEEE HELLPP :((
nikklg [1K]

They are all true None are false

3 0
3 years ago
Other questions:
  • 35% of a number is 17. Work out the number.
    13·1 answer
  • Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equatio
    8·1 answer
  • Select all the ordered pairs that are solutions to the equation 5x + 2y = -8
    13·1 answer
  • Whitney read a total of 4 books over 2 months. if whitney has read 16 books so far, how many months has she been with her book c
    8·1 answer
  • !!!!! HELP PLEASEEE!!!!
    5·1 answer
  • Helpppppppppppppppppppppppppp
    9·1 answer
  • I want answer for third question <br> 3rd**
    15·1 answer
  • I need help asap (show the work)
    7·1 answer
  • Two out of three balls in a Multi-colored package are pink. How many balls in a package of 21 will be pink?
    15·1 answer
  • Suppose that $16,000 is deposited for five years at 5 % APR. Calculate the interest earned if interest is compounded semiannuall
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!