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
wolverine [178]
3 years ago
10

ABCD is a rectangle. A, E and B are points on the straight line L with equation x + 3y = 18. A and D are points on the straight

line M. AE = EB. Find the equation for M in the form y = ax + b where a and b are integers
Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

If  B  is the  x-intercept and  E  is the  y-intercept of  x + 3y  =  18 , then

point B  =  (18, 0)       and       point E  =  (0, 6)

Then...

point A  =  (-18, 6+6)  =  (-18, 12)

Line M  is perpendicular to line L.

slope of line L  =  -6/18  =  -1/3   so..

slope of line M  =  3

So line M passes through the point  (-18, 12)  with a slope of  3 . So the equation of line M is...

y - 12  =  3(x - -18)

y - 12  =  3(x + 18)

y - 12  =  3x + 54

y  =  3x + 66

Step-by-step explanation:

You might be interested in
1.Solve the inequality (x-2)(x+1) ≥ 0 .
scoray [572]

Answer:

#1: inequality form: x ≤ –1 or x ≥ 2

interval notion: ( -∞,-1] U [2,∞)

#2: false/no solution

#3: A) point form: (3,9)(-1,1)

equation form: x= 3,y=9 and x= -1,y=1

B)point form: (1,7)(7,1)

equation form: x=1,y=7 and x=7,y=1

Step-by-step explanation:

#1: solve for x by simplifying both sides of the inequality, then isolating the variable.

#2: N/A

#3: solve for the first variable in one of the equations, then substitute the results into the other question.

5 0
3 years ago
What is the answer to this?
Yanka [14]
DEF= 6 ft^2

A= 1/2*b*h

Plug in what you know.

6= 1/2*4*h

Multiply like terms. 

6=2*h

Divide 2 on both sides. 

3=h

If the base of ABC= 12

12/4=3

3*3=9

A= 1/2*b*h
A= 1/2*12*9
A= 1/2*84
A= 42

The area of ABC is 42 ft^2

I hope this helps!
~kaikers
5 0
3 years ago
Johnny prepares a solution by mixing sodium acetate and water. To calculate the molarity of the solution, Johnny should calculat
kogti [31]

Answer is B, sodium acetate, because it is the solute .

4 0
3 years ago
There is only one freshman in the cast of a high school play. There are 6 sophomores and 11 juniors. One third of the cast are s
Rudik [331]

Let X = total students in musical


 

Then (1/3) X = number of seniors


 

  1 + 6 + 11 + (1/3)X = X


 

              18 + (1/3)X = X


 

                           18 = (2/3)X


 

                 (3/2)(18) = X


 

                          27 = X


 

27 students in musical of which one third are seniors,  

there are 9 seniors in musical


hope this helped!

6 0
3 years ago
People help please ?????
Mila [183]

Answer:

ok so anything raised to the power 0 is equal to 1 so we'll take 9x^0 =1 and then let's solve

Step-by-step explanation:

3x^2(9x)^0

3x^2(1)

=3x^2

4 0
3 years ago
Other questions:
  • Suppose a jet travels 60 kilometers in 5 minutes how many would it travel in 2? In 6 hours?
    14·1 answer
  • Write this ratio as a fraction in the simplest form 3 feet to 63 inches
    6·1 answer
  • A flat surface of a solid figure
    12·2 answers
  • What is the properties of 7•(-2)= (-2)•7
    13·1 answer
  • When was President Truman born?
    10·2 answers
  • Help...............................
    9·1 answer
  • If y is 6 and x is 4 what is y when x is 17
    5·1 answer
  • Simplify the expression given below.
    7·1 answer
  • 1.50 and 5.88 <br> How much less does one can of soda cost when you buy it in a 6 pack?
    10·1 answer
  • on a scale drawing of the park the sandbox is 2 inches wide actual sandbox is 8 feet wide what is the scale of the drawing​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!