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]
2 years ago
11

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

Mathematics
2 answers:
Phoenix [80]2 years 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]2 years 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
Here is an addition sentence.
dexar [7]
B because in commutative property of addition the numbers switch but they do not change the sign nor the numbers. hope this helped
5 0
3 years ago
Read 2 more answers
A rectangle has a width that measures 11 in. and a length that measures 5.5 in.
mote1985 [20]
The formula to find the area of a rectangle is A = wl.

A = (11)(5.5)
A = 60.5

The area of the rectangle is 60.5 inches squared.
4 0
2 years ago
Read 2 more answers
"if one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age or that they drin
scoray [572]

the picture in the attached figure


we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

P=size of the event space/size of the sample space

step 1

find the probability that the person is over 40 years

size of the sample size=255

size of the event space=85

P=85/255------> P=1/3


step 2

find the probability that they drink root beer

size of the sample size=255

size of the event space=75

P=75/255------> P=5/17


step 3

find the probability that the person is over 40 years of age or that they drink root beer

so

P=(1/3)+(5/17)-----> P=(17*1+3*5)/51------> P=32/51-----> 0.6275----> 62.75%


therefore


the answer is

32/51 or 62.75%

7 0
3 years ago
Read 2 more answers
5 ft 5 ft 4.5 ft 5 ft h 5 ft Find the area of the rhombus. [?] ft2​
Katyanochek1 [597]

Answer:

56 ft square (Approx)

Step-by-step explanation:

Area of Rhombus= (1/2) * D1* D2 {D1 = 4.5; D2 = 5*5= 25}

= 1/2 * 4.5 * 25

= 56.25

= 56 ft square (Approx)

7 0
2 years ago
Read 2 more answers
X^2-7x+10=0?? Please and thank you
Andrej [43]
There are two answers those being x=5 & x=2
explanation in picture

4 0
3 years ago
Other questions:
  • Number 10 please : put these temperatures in order ,coldest first
    13·2 answers
  • tom and some friends went to a movie the show started at 230 pm and ended at 415 pm how long did the movie last
    15·2 answers
  • What is 1.35 as a simplified fraction?
    5·1 answer
  • Given A(2,1), B(3,3), and scale factor: 4, graph the image and pre-image under the given dilation. Label the endpoints.
    9·1 answer
  • What is the value of x?
    10·2 answers
  • Rabbits are released into the woods where there are no other rabbits of this species. The function f(t) can be used to model the
    6·1 answer
  • For every 3 people that prefer soda, 7 people prefer water. If 18 people prefer soda, how many prefer water?
    5·1 answer
  • Calculate the frequency of light that has a wavelength of
    5·1 answer
  • Given the points (-10, -3) and (4,8) find the slope.
    5·1 answer
  • PLEASE HELP I HAVE 45 min to SUBMIT WILL GIVE BRAINLY
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!