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
stiv31 [10]
3 years ago
12

Find the equation of the straight line which passes through the point (2,3) and is

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer: y = 1.73*x - 0.46

Step-by-step explanation:

For a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:

Tan(A) = a.

in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:

A + 30° = 90

A = 90° - 30° = 60°

Then the slope is:

a = Tan(60°) = 1.73

Then we have the equation:

y = 1.73*x + b

And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.

3 = 1.73*2 + b

3 - 1.73*2 = b = -0.46

Then the equation is:

y = 1.73*x - 0.46

You might be interested in
The coach bought a hamburger and a $1.75 drink for the 10 members of the team. He spent a total of $36.00. Write and nu solve an
Angelina_Jolie [31]

Answer:

1.85

Step-by-step explanation:

equation will be 10(h+1.75)=36

hamburger price is $1.85

7 0
3 years ago
!!!!!!! I NEED THE WORK PLS ILL GIVE BRAINLIST!!!
dexar [7]

Answer:

1. 4 and 4sqrt2

2. 6sqrt2 and 6sqrt2

3. 5 and 5sqrt2

4. 5sqrt2 and 5sqrt2

5. 6 and 6

6. 8 and 8sqrt2

7. sqrt3 and sqrt6

8. sqrt2 and sqrt4

Step-by-step explanation:

3 0
3 years ago
Identify the coefficients and variables in rst-12v
BigorU [14]
Coefficients are the numbers in a equation variables are the letter
6 0
3 years ago
Read 2 more answers
Which equation could represent "the area of a square as a function of a side"?
Ratling [72]
Let side = x
area = x^2
6 0
3 years ago
One night Puvi spent 1/3 of his money on dinner and then 1/4 of the remaining money on dessert. He then had just enough left so
arsen [322]

Answer:

Step-by-step explanation:

Cost of two tickets = 2 * 30 = £60

Let the amount with Puvi = £x

Money spent on dinner = (1/3)*x

                                        = \dfrac{1}{3}x

Remaining \ money =x -  \dfrac{1}{3}x =\dfrac{3}{3}x-\dfrac{1}{3}x=\dfrac{2}{3}x

Money \ spent \ on \ dessert = \dfrac{1}{4} *\dfrac{2}{3}x =\dfrac{1}{6}x\\\\\\

Total money - money spent on dinner - money spent on dessert = 60

x -\dfrac{1}{3}x -\dfrac{1}{6}x=60\\\\\\\dfrac{6}{6}x-\dfrac{1*2}{3*2}-\dfrac{1}{6}x =60\\\\\\\dfrac{6}{6}x-\dfrac{2}{6}x-\dfrac{1}{6}x=60\\\\\\\dfrac{6-2-1}{12}x=60\\\\\\\dfrac{3}{12}x=60\\\\\\x=60*\dfrac{12}{3}=60*4=240

Money that Puvi had at the start of the night = £ 240

8 0
2 years ago
Other questions:
  • WXYZ is a parallelogram. Name an angle congruent to wzy
    6·1 answer
  • What is the mean absolute deviation of the data set {30,33,36,34,52}?
    9·2 answers
  • Find the perimeter of right triangle WXY if the radius of the circle is 4 units and WY = 20 units.
    15·1 answer
  • I really need help please
    11·1 answer
  • the perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 34 meters and it’s length is 2 meter
    12·2 answers
  • What is the GCF of 105,30 and 75 and How?
    14·2 answers
  • Using the rules of exponents to evaluate or simplify. write without negative exponents. 1/4^-2​
    14·1 answer
  • CAN SOMEONE PLZ HELPP
    6·1 answer
  • C
    9·1 answer
  • Jessica makes $1500 a month at her job. If she saves 20% of it each month, how much savings will she have after one year? Rememb
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!