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
Naddik [55]
1 year ago
11

The line x +ky=18 has a gradient of - 1/6 (a) Find the value of k.​

Mathematics
2 answers:
Phoenix [80]1 year ago
7 0

Answer:

k =6

Step-by-step explanation:

~~~~~~~x+ky  = 18\\\\\implies ky  = -x +18\\\\\implies y = -\dfrac 1k x+ \dfrac{18}k\\\\\text{It is now in the slope intercept form (y=mx +c), where m is the slope.}\\\\\text{Given that,}\\\\~~~~~m = -\dfrac 16\\\\\implies -\dfrac 1k = -\dfrac 16\\\\\implies \dfrac 1k = \dfrac 16\\\\\implies k =6

Sophie [7]1 year ago
3 0

Answer:

k = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope(gradient) and c the y- intercept )

given

x + ky = 18 ( subtract x from both sides )

ky = - x + 18 ( divide through by k )

y = - \frac{1}{k} x + \frac{18}{k} ← in slope- intercept form

with slope m = - \frac{1}{k}

given m = - \frac{1}{6} , then equating

- \frac{1}{k} = - \frac{1}{6} ⇒ k = 6

You might be interested in
Pls help me asap!!! ​
shusha [124]

Answer:

I think 6 1/2? srry if wrong

3 0
2 years ago
5-78 what does that give me
Sholpan [36]
5 -78 is equal to (-73)
4 0
2 years ago
Read 2 more answers
What is the slope of the line in the graph? PLZ HELP ​
zaharov [31]

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

6 0
2 years ago
Read 2 more answers
The sum of two consecutive integers is at most 3. what is the greatest possible value for the greater integer?
Rudik [331]
2 consecutive integers...x and x + 1

x + x + 1 < = 3
2x + 1 < = 3
2x < = 3 - 1
2x < = 2
x < = 1

x + 1 = 1 + 1 = 2.......the greatest possible value for the greatest integer is 2
8 0
2 years ago
Miguel is making a snack mix. The recipe calls for six parts of spicy tortilla chips to three parts of corn chips. Miguel would
Harlamova29_29 [7]
Equation:
6x + 3x = 45

To find X:
6x = 45
45/6 = 7.5
x = 7.5

To find other X:
3x = 45
45/3 = 15
x = 15

Final answer:

7.5 cups tortilla chips

15 cups corn chips
3 0
3 years ago
Read 2 more answers
Other questions:
  • The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m
    7·1 answer
  • Explain how to subtract two integers in your own words
    13·1 answer
  • Find the present value that will grow to ​$23,000 if interest is 5​% compounded quarterly for 19 quarters.
    10·1 answer
  • In an elementary school classroom, two students are given the task of cleaning the chalkboard. The first student can clean it by
    8·2 answers
  • What is y=-2x and 2y=4x - 5
    5·1 answer
  • (5.42x10^2)—(2.1x10^-1) simplify and solve in scientific notation and please show work
    13·1 answer
  • Circle the digit in the ones place. Then write even or odd. 36 is?
    5·2 answers
  • It’s incorrect thanks a lot g
    7·1 answer
  • Math problem graphing pls help ill give u brainiest
    10·2 answers
  • 1,547.1892 rounded to the nearest hundredth
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!