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
prohojiy [21]
3 years ago
5

Please I need help on this question, A line passes through (6,3), (8,4), and (n,-2). Find the value of n.

Mathematics
2 answers:
Vika [28.1K]3 years ago
6 0

Answer:

n= -4

Step-by-step explanation:

First we have to find the equation of line which passes through (6,3) and (8,4).

Then we have to pass this line through the point (n , -2).

we know, equation of line passing through (x1,y1) and (x2,y2) is

\frac{x-x1}{x1-x2}=\frac{y-y1}{y1-y2}

So, the equation of line passing through (6,3) and (8,4) is

\frac{x-6}{6-8}=\frac{y-3}{3-4}

or, \frac{x-6}{-2} =\frac{y-3}{-1}

multiplying both sides by  -2

x-6=2(y-3)

or, x-6=2y-6

or, x-2y=6-6

or, x-2y=0


Now, we have to pass this line through  (n,-2)

So, using the point in the line, that is using  x=n  , y=-2

we get

n-2(-2)=0

or, n+4=0

or, n=-4

zepelin [54]3 years ago
6 0

Answer:


Step-by-step explanation:

Given that the line passes through

(6,3), (8,4), and (n,-2).

We have to find the value of n.

Let us name the points as A, B and C in that order

Slope of AB = slope of BC since all 3 points lie in the same line

To find slope of AB:

Slope = (y2-y1)/(x2-x1) = (4-3)/(8-6) = 1/2

To find slope of BC:

Using the same formula slope = (-2-4)/(n-8) = -6/(n-8)

The two slopes are equal.

Hence 1/2 = -6/(n-8)

n-8 = -12

n = -4


You might be interested in
Review Lines and Parabolas
Virty [35]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
A rectangular lawn has area 140 square yards. Its length is six less than twice the width. What are the width and length of the
Gwar [14]

Answer:

width = let width be w

area = 140

length = 2w-6

Area of a rectangle = l*b

⇒ 2w-6*w=140

⇒ 2w^2-6=140\\2w^2 = 146\\w^2 = 146/2\\w^2 = 73\\w = \sqrt{73}

4 0
3 years ago
casey ran a 75 meter race in 10 seconds her distances at certain times during the race are shown in the table . what is the doma
Troyanec [42]
The domain of the graph is everything x is allowed to equal. Parentheses are used to show that x can be everything up to, but not including that number. Brackets are used to show x can be anything up to, and including, that number. The comma between the two numbers indicates that x can be anything between those two numbers.

Here, the time goes on the x axis and the distance will go on the y axis.
Time: 0 1 2 3 4 5 6 7 8 9 10
<span>Distance: 0.0 5.5 12.0 20.0 28.5 36.0 44.0 56.5 64.0 75.0
</span>
Since we are dealing with the domain, we really only need to focus on the time.
Time: 0 1 2 3 4 5 6 7 8 9 10

From this, we see that the values go from 0 to 10. This means that x can be anything from 0 to 10. Because there are y values that correlate with the numbers 0 and 10, we know that the domain will include 0 and 10. This indicates we must use brackets. 

Knowing all of this information, we can now write our domain as:
[0, 10]
7 0
3 years ago
1) −21 + a = 7(6a − 3)
Maksim231197 [3]

1)a=0

2)v=0

3)x=-4

4)n=-7

4 0
3 years ago
6+8x-9=11x+14-3x, can this equation be always, sometimes, or never true.
goblinko [34]
To answer the question above, simplify both sides of the equation. This gives,
                         8x - 3 = 8x + 14
Next, cancel the term 8x because it appears on both sides of the equation giving,
                             -3 = 14
That is NOT true. Therefore, the answer is the equation is NEVER TRUE.
4 0
3 years ago
Other questions:
  • A hat costs $25. Tax is 8%. How much is the tax on the hat?
    13·2 answers
  • What is 95/50 As a decimal
    14·1 answer
  • What is the absolute value of the square root of 5 minus 5?
    12·1 answer
  • The height of a ball thrown directly up with a velocity of 10 feet per second from a initial height of of 100 feet is given by t
    11·2 answers
  • What is the exact volume of the cylinder? ​
    10·1 answer
  • Compare the functions shown below:<br> 1222
    15·1 answer
  • Help ASAP pleaseeee...
    11·1 answer
  • (-15,-6), (8,3) Find the slope of the line through each pair of points?
    6·2 answers
  • Helppppppppppppppppp
    15·1 answer
  • I have a triangular shaped base. I am composed of 3 rectangular faces. I am a 3D figure. What am I?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!