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
telo118 [61]
3 years ago
15

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2, 11) and

Mathematics
1 answer:
Doss [256]3 years ago
5 0

ANSWER

2y-x-20=0


or

y=\frac{1}{2}x+10


<u>EXPLANATION</u>

Let the rectangle be oriented as shown in the diagram.

The line segment AD passes through A(2,11).


All we need now is the slope of AD then we can find its equation.


Since AD is perpendicular t AB, we determine the slope of AB and then use it to find the slope of AD.


Slope_{AB}=\frac{1-11}{7-2}



Slope_{AB}=\frac{-10}{5}=-2


The slope of AD is the negative reciprocal of the slope of AB because they are perpendicular.

Slope_{AD}=\frac{-1}{-2}=\frac{1}{2}


The equation of AD is given by;


y-y_1=m(x-x_1)


y-11=\fra[1}{2}(x-2)


Multiplying through by 2 gives,


2y-22=(x-2)


2y-x-22+2=0


2y-x-20=0


or

y=\frac{1}{2}x+10














You might be interested in
There are 12 inches (in). in 1 foot (ft). which expression can be used to find the number of inches in 2.5 feet?
Ludmilka [50]
Given:
12 inches in 1 foot
number of inches in 2.5 feet

2.5 feet * 12 inches/1foot = 2.5 * 12 inches = 30 inches

1 foot + 1 foot + 0.5 foot = 2.5 feet
12 inches + 12 inches + 6 inches = 30 inches

12 inches : 1 foot = x : 2.5 feet
12 inches * 2.5 feet = x*1foot
30 inches * feet = x * foot
30 inches = x
3 0
3 years ago
The solution for 6x-8=7x is x—8 show the steps you would go through to check. That answer
prisoha [69]
6x-8=7x
-6x -6x
-8=1x
-8=x
5 0
3 years ago
Read 2 more answers
A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB me
choli [55]
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V =  1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³
3 0
3 years ago
Read 2 more answers
The question and answers are in this photo <br><br> Thank you for the help!
arlik [135]

Answer:

A

Step-by-step explanation

Just pick a

5 0
2 years ago
Read 2 more answers
What type of right triangle would you use this formula for and why? <br><br>c=2a​
levacccp [35]

Answer:

30 60 90 triangle

the hypotenuse is twice the length of the shorter leg length.

7 0
3 years ago
Other questions:
  • A dinner plate has a circumference of 106.76 cm. What is the area of the dinner plate? Use = 3.14.
    10·1 answer
  • What is the inverse of the logarithmic function f(x)=log9x?
    10·2 answers
  • Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeter
    11·2 answers
  • The garden is 6 feet wide and has a diagonal length of 10 feet what is the length in feet?
    15·1 answer
  • Which equation can be used to determine the reference angle, r, if 0=7 pi/12?
    7·1 answer
  • Ava has $9 to spent on cards. She finds friends with the same amount of money to split the cost of a set. One set costs $27. Eac
    11·1 answer
  • !!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
    8·1 answer
  • Factoring by grouping: what is 3x^2+2x-5
    14·1 answer
  • Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x)/g(x) and state its domain.
    5·1 answer
  • Answer two questions about Equations A and B:<br> A. 2x1 = 5x<br> B.<br> -1 = 3x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!