In the coordinate plane, point B has coordinates (2,3) and is the midpoint of the line segment AC. The coordinates of points A and C are (p,7) and (−6,−1), respectively. What is the value of p ?

Answer:

The value of p is 10

Step-by-step explanation:

Here, we are told that the midpoint of the segment AC is B. What this means is that, applying the midpoint formula on AC would give the coordinates of B.

Mathematically;

(x,y) = {(x1 + x2)/2, (y1 + y2)/2}

(2,3) = (p -6)/2 , (7-1)/2

equating identities;

(p-6)/2 = 2

p-6 = 2 * 2

p-6 = 4

p = 4 + 6

p = 10

The value of p as described in the question is; 10

Since the point B, with coordinates (2,3) is the midpoint of the line segment AC.

Therefore, the x-coordinate of point B (2) is the midpoint of the x-coordinate of point A and C.

The value of p can then be evaluated as follows;

By Cross-product; we have;

The value of p is therefore; 10

Read more;

https://brainly.com/question/20149346

Compare

[tex] \sqrt{7} \: and \: 1.2[/tex]
[tex] = \: or \: < \: or \: > [/tex]


​

The equation 50=36.50+0.10m represent the additional number of messages roboerto can send with a budget of $50 .solve the equation to find the number he has left to send

Write as a decimal : twenty-eight ten- thousandths

Which of the following territories became part of Unified Italy?
A) Saxony
B) Sardinia
C) Hanover
D) Bavaria

find the 49th term of a sequence with a=50 and D=4​

WHAT IS 15.7188888888 X 18 TO THE POWER OF SIX DIVIDED BY 7 Plus 3

Can someone help me with this algebra question? (algebra 1)

i’m not sure need help! ANSWER QUICKKK PLZZ

I NEED HELP CAUSE I'M STUCK AS HECK

Dorothy is trying to estimate 20. She uses this table of values:
Square 4.02 4.12 4.22 4.32 4.42 4.52
Value
16.0 16.8 17.6 18.5 19.4 20.3
Square 4.62 4.72 4.82 4.92 5.02
Value
21.2 22.1 23.0 24.0 25.0
What should she do next to find 20 to the nearest hundredth?
O A. She should estimate that 20 is 4.50.
B. She should find the average of 4.4 and 4.5.
O C. She should find the squares of numbers between 4.5 and 4.6.
D. She should find the squares of numbers between 4.4 and 4.5.

20 POINTS!!! I need someone's help fast, like seriously fast!!
1. Find the value for X in 15x + 5
2. Also find the value of X in 22x + 4

A boat heading upstream (against the current) has a net speed of 80 mph, if the same boat heads downstream its speed is 110 mph. What is the speed of the current assuming it is less than the speed of the boat.

Pls help ASAP! I’ll give BRAINLIEST and 5 star rating if correct!! 20 pts?

Rental car company A charges an initial fee of $35 plus $0.75 per mile. Rental car company B charges $0.50 per mile and an initial fee of $55. For what number of miles will the cost of both rental car companies be the same? True or False: 35 + 0.75x ≥ 0.5x + 55 be used to solve the real-world problem. If false, explain in detail what needs to be changed in the real-world problem so 35 + 0.75x ≥ 0.5x + 55 can be used to solve it.

A jet travels 560 miles in 5 hours. At this rate, how far could the jet fly in 12 hours?

3/2 divided by 1 1/2

Why can you always multiply mixed numbers if you know how to multiply fractions???

The composition of transformations sometimes results in figures remaining similar. (True or false)

Write the equation of a line that is parallel to y =1/2x + 9 and goes through the point (-2,2)

Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 8s−(5s+6)=12(20+6s)

henry can write 5 pages of his novel in 3 hours at this rate how many pages can henry write in 8 hours​

Answer ASAP



All of the following have the same value except _____.

9 + (-6)
6 - 9
9 - 6
-6 - (-9)

What is 100 x 1.5 plz help me

HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.

Bobby charges $10. per lawn he mows, and an additional $5. per hour.
a) Find the independent and the dependent variables.
b) Write a linear function that models the wage of Bobby per lawn.
c) If Bobby work for 3.5 hours on a lawn, how much does he earn?

-2x + 5 = 10

Anyone know this? I need it quick

Marva needs at least $130 to buy a
new dress. She has already saved
$58. She earns $8 an hour
tutoring. Write and solve an
inequality to find how many hours
she will need to tutor to buy the
dress.

Velocity can only be described by including both
A.mass and direction of the object in motion.
B.mass and volume of the object in motion.
C.speed and direction of the object in motion.
D.speed and volume of the object in motion.
PLZ help me

Evaluate 5|x³ - 2| + 7 when x = -2.

5/8 divided by 2/8 is it equal to 1 less than 1 or more than 1?

11. Identify the properties below.
a. 5 + 6 = 6 + 5
b. 7 + (3 + 9) = (7 + 9) + 3