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
HELP ASAP 40 POINTS
AleksandrR [38]

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

r=a_2-a_1

r=-12-(-8)

r=-12+8

r=-4

The nth term of an AP is

a_n=a+(n-1)d

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

a_n=-8+(n-1)(-4)

a_n=-8-4n+4

a_n=-4-4n

Putting n=52, we get

a_{52}=-4-4(52)

a_{52}=-4-208

a_{52}=-212

Therefore, the equation for the nth term of the given sequence is a_n=-4-4n and the 52nd term of the sequence is -212.

3 0
3 years ago
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
skad [1K]

Answer:

D. 96

F. 32

Step-by-step explanation:

The inequality 3x ≥ 96, means that x and 3 must be multiplied to get a product that is <u><em>greater</em></u> than 96.  So to figure this out, you must plug in the numbers given for x, like so:

3x ≥ 96

A. 3(31) ≥ 96

     93 ≥ 96                            This is incorrect since 93 is not greater than 96

A tip that makes this easier is that, you can see that 31 multiplied by 3 is 93, which is only a couple numbers off 96, so all numbers after 31 will result in a product greater than 96. For example:

D. 3(96) ≥ 96

    288 ≥ 96                             This inequality is correct

F. 3(32) ≥ 96

   96 ≥ 96                        

The inequality sign states that the number must be either greater or equal to 96, which it is.

6 0
3 years ago
⎩<br> ⎪<br> ⎪<br> ⎨<br> ⎪<br> ⎪<br> ⎧<br> ​<br><br> y=−2x−5<br> y=2x−2<br> ​
Sonja [21]

Answer:

This doesn't make since.

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP VERY URGENT!! 20 POINTS AVAILANBLE!!!!
Alborosie

Answer:

2 hours and ten minutes I believe.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An operation is a math process such as division or addition. True False
chubhunter [2.5K]
True 
hope this helps
brainlyist pls

4 0
3 years ago
Read 2 more answers
Other questions:
  • Write a situation in which positive and negative numbers are used to describe values that have the opposite meaning.
    11·1 answer
  • What are two ways to get from 5 to 10 ?
    12·2 answers
  • most of state names in the United states end in a vowel. of the 50 states, 25 of the state names end in either an a or e and 6 e
    9·1 answer
  • Simplify 2x + x. What is the answer to this?
    8·2 answers
  • Caryn has $500 in her savings account. By the end of the summer, she would like to have more than $3,000. She makes $8 an hour w
    9·1 answer
  • What is an equation of the line that passes through (2,2) and is parellel to the line y=7x
    6·1 answer
  • After the booster club sold 40 hotdogs at a football game, it had $90 in profit.
    6·1 answer
  • What multiplies to give you 15 and adds to give you -8?
    5·2 answers
  • A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student,
    13·1 answer
  • In studies that use more than one data collector, how is the consistency of the data evaluated?.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!