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
Sloan [31]
2 years ago
10

It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
6 0

Answer:

k = (-162).

Step-by-step explanation:

A point of the form (x_{0},\, y_{0}) belongs to the graph of this function, y = k / x, if and only if the equation of this function holds after substituting in x = x_{0} and y = y_{0}.

The question states that the point (-9,\, 18) belongs to the graph of this function. Thus, the equation of this function, y = k / x, should hold after substituting in x = (-9) and y = 18:

y = k / x.

18 = k / (-9).

Solve this equation for the constant k:

\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}.

Thus, k = (-162).

You might be interested in
What is the approximate length of arc 9.9,19.9,21.5,43
Nataly_w [17]
I think the answer is 19.9 cm
4 0
3 years ago
Answer and ill mark you BRAINIEST
OlgaM077 [116]

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid -  A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

6 0
3 years ago
Read 2 more answers
A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an
mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft  and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin C=\frac{AB}{AC}

Putting values,

\sin 30^\circ} =\frac{10}{AC}

We know, \sin 30^\circ}=\frac{1}{2}

\frac{1}{2} =\frac{10}{AC}

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

8 0
3 years ago
Read 2 more answers
HELP ME PLS IM HELLA DUMB
Anna [14]
Ur not dumb!!! i graphed the line for u here. i suggest watching some khan academy videos for extra practice!

6 0
3 years ago
A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.
mart [117]

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05  

2

1

​  

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x&lt;3.75}.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Please help me with this problem !!!!!!
    10·1 answer
  • How to solve (2x-3)(3x+3)=36
    7·2 answers
  • The number 2,874,992 how to round this number to the nearest 10,000
    5·2 answers
  • SCIENCE NOT MATHEMATICS SORRY!!
    14·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • 4. The sum of two numbers is 36. Twice the first
    7·1 answer
  • Which ordered pair is a solution of the linear equation shown in the graph above?
    12·1 answer
  • In how many ways can a committee of two men and two women be formed from a group of nine men and nine women?
    5·1 answer
  • 4,582 x 10<br> Written in place value form
    5·1 answer
  • 75 x 46 column addition method
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!