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
trasher [3.6K]
3 years ago
15

Find k so that the three equations 3x-y=2, 2x+8=3y, and y=kx have a common solution

Mathematics
1 answer:
andriy [413]3 years ago
8 0
2x+8=3kx (3k-2)x+8=0
3x-kx=2. (3-k)x-2=0
3k-2)x+10=3-k)x
4k-5=10/x
///////
3x-y-2=2x+8-3y
X+2y-10=0
X+2kx-10=0
K=(10-x)/2x
You might be interested in
What is the radius of a circle with the equation x^2+y^2+6x-2y+3?
atroni [7]

Answer:

r = √13

Step-by-step explanation:

Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms:  x^2 + 6x            + y^2 -2y             = 3.  Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."  

We need to "complete the square" of x^2 + 6x.  I'll just jump in and do it:  Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x:     x^2 + 6x  + 3^2 - 3^2.  Then do the same for y^2 - 2y:  y^2 - 2y + 1^2 - 1^2.

Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2.  Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1.  Making these replacements:

(x + 3)^2 - 9 + (y - 1)^2 -1 = 3.  Move the constants -9 and -1 to the other side of the equation:  (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13

Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r:  r^2 = 13, so that the radius is r = √13.


8 0
3 years ago
Read 2 more answers
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
natta225 [31]

Answer:

its 2/3 because if u divied the width u get that

Step-by-step explanation:

you welcome i tried

5 0
3 years ago
Read 2 more answers
if the sum of the first 60 positive integers is s, what is the sum of the first 120 integers in terms of s? a. 2s 3600 b. s^2 36
natima [27]
For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)

For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600

Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
3 0
3 years ago
If a circle’s diameter is 3 inches, what would be the best estimate of its circumference? A) 3 inches B) 9.42 inches C) 10.42 in
iogann1982 [59]
The answer would be approximately 9 inches but the real number is 9.42 So B is the answer. I hope this helped ^^
4 0
3 years ago
Read 2 more answers
What is the slope of the line passing through the points (2 5) and (-1 -4) show all your work
erastova [34]

Answer:

M=3

(-4 - 5)/(-1-2)

Step-by-step explanation:

Y =3X +-1  

4 0
3 years ago
Other questions:
  • Jim wants to purchase a used boat. The price is $8,000 cash or $1,200 down and 18 monthly payments of $429.00. Jim decided to fi
    8·1 answer
  • Solve log(2)(4x+8)=5
    10·1 answer
  • Triangle QED is congruent to Triangle QRS<br><br>a. True<br>b. False<br>​
    6·1 answer
  • How to solve this linear system of equations?
    10·1 answer
  • 5x2^3 <br> Please help!!!
    9·1 answer
  • You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
    11·2 answers
  • Can someone help me figure this out? -2(x+8)=6x+8
    7·1 answer
  • In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points) Part B:
    10·2 answers
  • 3+(4+5) = ( 3+4 ) +5.THIS IS AN EXAMPLE OF THE ---------OF WHOLE
    9·2 answers
  • Use the probability distribution table to answer the question.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!