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
Nikolay [14]
3 years ago
8

Find the equation in standard form of the line passing through the points 3,-4 and 5,1

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

5x - 2y - 23 = 0

Step-by-step explanation:

Line is passing through the points (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2)

Equation of line in two point form is given as:

\frac{y -y_1 }{y_1 -y_2 }  =  \frac{x -x_1 }{x_1 -x_2 } \\  \\  \therefore \:  \frac{y -( - 4) }{ - 4 -1}  =  \frac{x -3 }{3 -5 } \\  \\  \therefore \:\frac{y  +  4 }{ - 5}  =  \frac{x -3 }{ - 2 } \\  \\  \therefore \: \frac{y  +  4 }{  5}  =  \frac{x -3 }{  2 } \\  \\  \therefore \:  2(y + 4) = 5(x - 3) \\ \therefore \:  2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\  \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \:  \\ standard \: form.

You might be interested in
Cos(0.5)+cos(0.5+2(3.14159265))+cos(0.5+4(3.14159265))
aleksandr82 [10.1K]

Answer:

2.63274768567

Step-by-step explanation:

First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.

2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).

So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567

I hope this helps! :)

7 0
3 years ago
If a recipe says 1/4 for 4 servings then how many cups will 8 serving be for?
ehidna [41]

\dfrac{1}{4}\dots4 \\x\dots8 \\\dfrac{\frac{1}{4}}{x}=\dfrac{4}{8} \\\dfrac{1}{4x}=\dfrac{1}{2} \\1=2x \\x=\boxed{\dfrac{1}{2}}

Hope this helps.

5 0
3 years ago
ASAP PLZ HELP WILL MARK BRAINLIST IF U WANT TO FIRST PERSON WHO ANSWERS RIGHT
photoshop1234 [79]

Answer:

15.0

Step-by-step explanation:

Square root entire equation (-8 - 7)^2 + (-5 + 4)^2

8 0
3 years ago
Read 2 more answers
Match the vocabulary to the part of expression below
Fantom [35]

Answer:

Gas up in my room I don’t know how much you have to do that yet but

Step-by-step explanation:

Abc news I didn’t see you yesterday I didn’t answer you I didn’t answer your phone I didn’t answer your question I don’t understand why

5 0
3 years ago
Can you guys help we with this question. ​​​​​​
satela [25.4K]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me with number two? Thank you
    14·2 answers
  • What is 2 1/2 divided by 2 1/6
    9·2 answers
  • I need help with number 1 please help
    6·1 answer
  • A tree is 4 meters tall. About how tall is the tree in feet (ft)? (1 meter is approximately 39 inches.)
    15·2 answers
  • For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is d
    15·1 answer
  • Is the sequence -2, -10, -50, -250 arithmetic?
    15·1 answer
  • What is the volume of a sphere with a
    9·1 answer
  • If the diameter of the following circle is tripled, which of the following expressions could be used to find the area of the new
    10·1 answer
  • Can someone help me please
    15·1 answer
  • If f(x)=3x-2 and g(x)=2x+1, find (f+g)(x)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!