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
matrenka [14]
3 years ago
9

1. A line passes through the point (2, k) and (4k, 5) and has a slope of 1/2 . Find the value of k.

Mathematics
1 answer:
Doss [256]3 years ago
5 0

(\stackrel{x_1}{2}~,~\stackrel{y_1}{k})\qquad (\stackrel{x_2}{4k}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{k}}}{\underset{run} {\underset{x_2}{4k}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\\\ 10-2k=4k-2\implies 10=6x-2\implies 12=6k\implies \cfrac{12}{6}=k\implies 2=k

You might be interested in
What is an equation of the line that passes through the point (2,−6) and is parallel to the line x−2y=8?
lorasvet [3.4K]

Answer:

y = x/2 - 7

Step-by-step explanation:

First, we need to find the slope of the given equation: x - 2y = 8

Subtract x from both sides

x - 2y = 8

- x        - x

-2y = 8 - x

Divide both sides by -2

-2y/-2 = (8 - x)/-2

y = -4 + x/2

The slope of this equation is 1/2

So the equation of our parallel equation is y = x/2 + b

We have to find b, so plug in the given coordinates

-6 = 2/2 + b

-6 = 1 + b

Subtract 1 from both sides

-6 = 1 + b

- 1    - 1

b = -7

Plug it back into the original equation

y = x/2 - 7

6 0
2 years ago
In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.
Dennis_Churaev [7]

In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.

How many hours will it take until Task F can be started?

14 hours

______________________________________

<em> *100% CORRECT ANSWERS </em>

<em>(SEE ATTACHMENTS)</em>

4 0
3 years ago
A) x = 26, y =11<br><br> B) x = 13, y = 24<br><br> C) x = 11, y =26<br><br> D) x = 24, y = 13
zepelin [54]

Answer:

A) x=26, y=1

Step-by-step explanation:

parallelograms have equal lengths on opposite sides. in this picture, y is alone. Opposite of that, the length is 11. so y must be 11. the only choice there is A.

7 0
3 years ago
Read 2 more answers
What is 7/4 as a mixed number
valentinak56 [21]
The answer to the question is 1 and 3/4
6 0
3 years ago
Read 2 more answers
What is the measure of PRQ?
natima [27]

Answer:

the answer is 172

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Factor each trinomial.<br>1. x2 + 7x + 10​
    5·2 answers
  • 8z + 15 = -1 | z = ?
    6·1 answer
  • Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)
    13·1 answer
  • The combined mass of two children is 75lbs. The first child is four times the mass of the second child. What are the masses of t
    6·2 answers
  • Please help.
    13·1 answer
  • Question 2 (1 point)
    12·1 answer
  • 606 divided by 49 in long division ​
    7·2 answers
  • Here look at this meme
    7·2 answers
  • Vicky can make 8 bracelets in 2 days. How many bracelets can she make in September
    11·2 answers
  • HELPP I GIVE BRAINLESTT RN I NEED THIS IN 5 MINUTESSS RNNNN
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!