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
Sloan [31]
3 years ago
12

Please help me solve 41 and 42

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

N 41) Part a) Find the equation of BC

A(-2,-1)  B(0,3)

Step 1

<u>Find the slope AB</u>

m=(y2-y1)/(x2-x1)-----> m=(3+1)/(0+2)-----> mAB=2

we know that

If two lines are perpendicular. then the product of their slopes is equal to -1

mAB*mBC=-1

<u>Find the slope BC</u>

mBC=-1/2

Step 2

with the slope mBC and the point B find the equation of the line BC

y-y1=m*(x-x1)------> y-3=-0.5*(x-0)-----> y=-0.5x+3

therefore

<u>the answer Part a) is</u>

the equation of the line BC is  y=-0.5x+3

Part b) Find the coordinates of C

Step 3

to find the coordinates of C find the x-intercept of the line BC

when y=0

y=-0.5x+3------> 0=-0.5x+3------> 0.5x=3-------> x=6

therefore

<u>the answer part b) is</u>

the coordinates of point C is (6,0)

<u>N 42) </u>Part a) Find the coordinates of P

we know that

the point P is the midpoint of BC

Step 1

<u>Find the midpoint of BC</u>

x-coordinate of P=(-7+3)/2=-2

y coordinate of P=(4+0)/2=2

coordinates of P is (-2,2)

therefore

<u>the answer part a) is</u>

The coordinates of P is (-2,2)

Part b) Find the equation of the line joining A and P

Find the slope AP

m=(2-8)/(-2-1)=2

with the slope and the point P find the equation of the line

y-y1=m*(x-x1)------> y-2=2*(x+2)------> y=2x+4+2------> y=2x+6

therefore

<u>the answer Part b) is</u>

the equation of the line AP is y=2x+6

You might be interested in
Help plz explain how to use discributive property
DiKsa [7]

1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.

2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.

3.Multiply every term in the equation by the LCM.

4.Isolate variables adding or subtracting like terms on both sides of the equals sign.

5.Combine like terms.

6.Solve the equation and simplify, if needed.

5 0
3 years ago
Read 2 more answers
0.5÷7/10<br>please help me with this my teacher is driving me crazy​
Illusion [34]

Answer:  0.714286

turn 7/10 into .7 and divide normally

7 0
2 years ago
Guys pls help me!!!!!!!
Maurinko [17]

Answer:

165°

Step-by-step explanation:

x+15=180

4 0
2 years ago
Read 2 more answers
Find the 14th term of the sequence using the explicit rule:
Vesna [10]
Plug n = 14 into the formula

= -5(14) + 90
= -70 + 90 = 20
5 0
3 years ago
The elevation of a building's basement is -12 feet. Given the building is square shaped and the total length of the building fro
alina1380 [7]
Picture it in your head
at -12 feet elevation (12 feet below ground level), the basement starts
62 feet from that level is the roof
so count 62 units up from -12 and get 50 feet above ground level (60-12=50)


answer is 50 feet above ground level

 
8 0
3 years ago
Other questions:
  • A spinner has 14 equal sectors with different letters for each sector, as shown below:
    12·2 answers
  • Anyone plz help asap -1/2× &gt;_ 4
    10·1 answer
  • a teacher gave a patter: the first term is 5 and the rule is add4, subtract 1. each student says one number. the first student s
    13·1 answer
  • 19. Find the pressure exerted by a force of 240 newtons on an area of 30cm? Please help I will mark as brilliant
    11·1 answer
  • NEED THESE ANSWERS! Thanks!!
    8·1 answer
  • HELPPP PLS ILL MARK BRAINLIEST!!!!
    7·1 answer
  • Find the unknown side or angle as indicated.<br> Round each side length to the nearest tenth
    5·1 answer
  • Which choice represents the simplified exponential expression? (11^-2)^7<br> 19 points!!!!
    7·1 answer
  • Anyone know the answer?​
    7·2 answers
  • This holiday weekend, Sue is going to Chicago to shop and to see a baseball game. To avoid traffic, Sue decides to take the trai
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!