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
noname [10]
3 years ago
11

PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

  • k = 7/4

Step-by-step explanation:

<u>Given system:</u>

  • x + y + 3z = 10,
  • -4x + 3y + 5z = 7,
  • kx + z = 3

<u>Substitute z in the first two equations with z = 3 - kx:</u>

  • x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1
  • -4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8

In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.

<u>Solve the following equation for k:</u>

  • 3k - 1 = 1/3(5k + 4)
  • 9k - 3 = 5k + 4
  • 4k = 7
  • k = 7/4
You might be interested in
A circular garden has diameter 2.4m
trapecia [35]

Answer:

33

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!
shtirl [24]

Answer:

Angles 6 and 2

Step-by-step explanation:

They are in the "interior" of the figure, plus, ik how to do this

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>

<em><u>-XxDeathshotxX</u></em>

4 0
2 years ago
Read 2 more answers
Five boxes of fruit snacks cost $22.50.
Viefleur [7K]

Answer:

13.5 answer is 13.5 and one cost 4.5

5 0
3 years ago
How do you do this problem? Explain.
Elza [17]

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2)                     Remove the brackets

3.25x = 7 + 3x - 6                       Collect terms on the right

3.25x = 3x + 1                              Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1               Combine

0.25x = 1                                     Divide by 0.25

0.25 x/0.25 = 1 / 0.25            

x = 4 hours.


 

7 0
3 years ago
A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation? The line repr
Dovator [93]

Answer:

Line does not represent direct variation.

Step-by-step explanation:

If the line goes thru the origin, it represents direct variation.  Otherwise it does not.

Start by finding the slope of this line:

As we move from (-4,3) to (4,3), x increases by 8 but y does not change.  Thus, the slope is 0/8, or just 0.  Thus, the equation of this line is y = 3, which does NOT go thru the origin; thus, the points given do NOT represent direct variation.

8 0
3 years ago
Other questions:
  • Circle the subjects to which the number - 105 belongs :
    13·1 answer
  • The area of a closet floor measures 3 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square feet. How
    6·2 answers
  • For what natural values of n is (2-2n)-(5n-27) positive?
    13·1 answer
  • A rectangular piece of plastic has an area of 10 square millimeters and a perimeter of 22 millimeters. What are the dimensions o
    14·1 answer
  • Graph a line that contains the point (4,3) and has a slope 1/2
    8·2 answers
  • Which is longer, 1/4 of line A or 1/4 of line B? Explain.
    10·1 answer
  • If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.
    8·2 answers
  • 18 = 3(3x − 6) solve for the value of X ?
    6·2 answers
  • Type SSS, SAS, ASA, SAA, or HL to
    12·1 answer
  • Bring the following fraction:<br> а/a-10<br> to a denominator of 10-a
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!