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
Lesechka [4]
3 years ago
14

The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0
(i)
A(3,2),B(1,6)
\\
\\m_{AB}= \frac{6-2}{1-3}=-2
\\
\\m_{BC}m_{AB}=-1
\\ 
\\m_{BC}= \frac{-1}{m_{AB}} = \frac{-1}{-2}= \frac{1}{2}  
\\
\\B(1,6)\Rightarrow x_1=1,y_1=6
\\
\\BC:y-y_1=m_{BC}(x-x_1)
\\
\\y-6= \frac{1}{2}(x-1)
\\
\\2y-12=x-1
\\x-2y+11=0

(ii)
AC:y=x-1
\\BC:x-2y+11=0
\\
\\C=AC\cap BC
\\
\\x-2(x-1)+11=0
\\x-2x+2+11=0
\\x=13
\\y=x-1=13-1=12
\\C(13,12)

(iii)
A(3,2)B(1,6),C(13,12)
\\P=2(d(A,B)+d(B,C))
\\
\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20}  =2 \sqrt{5} 
\\
\\d(B,C)= \sqrt{(13-1)^2+(12-6)^2}= \sqrt{180}= 6\sqrt{5}  
\\ 
\\P=2(2 \sqrt{5}+6 \sqrt{5})=2\times8 \sqrt{5} =16 \sqrt{5}
You might be interested in
First mile in 450 seconds how many minutes was his first mile
bezimeni [28]
There are 60 seconds in a minute, so divide 450 by 6 and you get that his first mile was in 75 minutes. 
5 0
4 years ago
Can anyone help me with this?
yawa3891 [41]

Answer:

Below.

Step-by-step explanation:

7)  c^2 = a^2 + b^2

15^2 = 11^2 + b^2

b^2 = 225 - 121 = 104

b = √104

= √4√26

= 2√26.m

8). 4^2 = a^2 + (√6)^2

a^2 = 16 - 6

a^2 = 10

a =  √10.

7 0
2 years ago
4.4 = − t/4.5 solve for t
krek1111 [17]

Answer:

t= -19.8

Step-by-step explanation:

3 0
3 years ago
HELP! Blanca jogged 8 days last month she jogged 1.25 mils on each day and burned 140 calories per mile whole jogging. How many
garik1379 [7]
She burned 1,400 calories total.

Explanation is 1.25miles times 8 days which gives you 10 miles, then you just do 140 times 10 for 1,400 total
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Natalija [7]

Answer:

It's -4.

Step-by-step explanation:

You don't have to mark brainlist. Cheers!

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the volume of the pyramid below.<br> Enter your answer as a number with no units.
    11·1 answer
  • Help Me! Please (34 pts) am I right
    7·1 answer
  • What is the solution to the system of equations? -2x + y = -5 3x – 2y = 12 A) (3, 1) B) (6, 3) C) (-2, -9) D) (-2, -1)
    11·1 answer
  • You have five pieces of wood. what is the total length of the wood? 73cm + 1.6m + 2.87m+325cm+4.04m
    9·2 answers
  • I need help with these questions
    8·1 answer
  • Solve the equation: 5(p+2) - 2p * 5 = 5 + 3p
    7·1 answer
  • Which statement is not true for the triangle shown below
    13·2 answers
  • Answer quickly plzzz
    8·1 answer
  • Kelsy can buy 2 pounds of apples for 7$. Write an equation to represent the cost, y, for x pounds of apples?
    9·1 answer
  • Can someone plz help me if u can’t see zoom in plz help me
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!