a has a coordinate (-2,4). B has a coordinate (9,11). find the coordinate of point p has a p that partion AB into a ratio 3:4

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Using the Section formula, then

$x_{P}$ = $\frac{3(9)+4(-2)}{3+4}$ = $\frac{27-8}{7}$ = $\frac{19}{7}$

and

$y_{P}$ = $\frac{3(11)+4(4)}{3+4}$ = $\frac{33+16}{7}$ = $\frac{49}{7}$ = 7

Hence

P = ( $\frac{19}{7}$ , 7 )

You might be interested in

Simplify 4x+6(3x- 2)

EleoNora [17]

The first thing we are going to do is distribute:
=4x+(6)(3x)+(6)(−2)
=4x+18x+−12
Second thing we are going to do is Combine Like Terms:
=4x+18x+−12
=(4x+18x)+(−12)
And your final answer is:
22x+−12
I hope this helps you! :)

8 0

3 years ago

Read 2 more answers

Find the equation of the line Y= x+ Use exact numbers

kotykmax [81]

Answer:

y=-1/4x-6

Step-by-step explanation:

The problem wants the form y=mx+b where m is the slope and b is the y-intercept.

The y-intercept in this case is -6 (where the line intercepts the y-axis).

We can use points (0,-6) and (4,-7) to calculate the slope. We just divide the difference in y-values by the difference in x-values.

-6-(-7)/0-4=-6+7/-4=1/-4=-1/4

So the equation of the line is y=-1/4x-6

5 0

3 years ago

HELP NOW!!!!

VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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

A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$