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
gulaghasi [49]
4 years ago
5

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

Mathematics
2 answers:
Oksanka [162]4 years ago
6 0
Answer is 45 degree
Allisa [31]4 years ago
4 0

Answer:

The answer to your question is Ф = 45°

Step-by-step explanation:

Data

A (1, 4)

B (-1, 2)

Process

1.- Find the slope of the line

formula

m = \frac{y2 - y1}{x2 - x1}

Substitution

m = \frac{2 - 4}{-1 - 1} = \frac{-2}{-2} = 1

Slope definition, is the steepness of a line and also is the tangent of the angle of the line.

                          tangent Ф  = slope

                          tangent Ф = 1

                                        Ф = tangent⁻¹ 1

                                        Ф = 45°

You might be interested in
Which is the most convenient placement of an isosceles triangle in the coordinate plane for finding the side lengths?
Usimov [2.4K]

Answer:

The bottom left

Step-by-step explanation:

5 0
3 years ago
Rational numbers with distribute property
Svetradugi [14.3K]

I'm not sure what this means. If you have choices you should list them.

(1/2)*(1/4 + 1/6) is an example of what should be given. There are two ways to solve this.

1. Use the distributive property.

1/2*1/4 + 1/2* 1/6

1/8 + 1/12 Which can be added using the LCD of 24

3/24 + 2/24 = 5/24

Method 2

Add what is inside the brackets first.

1/2 ( 1/4 + 1/6)

1/2(3/12 + 2/12 = 5/12

Now multiply by 1/2

1/2(5/12) = 5*1/(12 * 2) = 5 / 24 Same answer.

4 0
3 years ago
Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of t
Zinaida [17]
The total cost for the entire life span of the deep fryer  is computed below:
Brand P total cost =Purchase price + total electricity cost 
                                = $144+($0.49x8x12x6)
                                =$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
                                =( $37.5x3)+($0.75x 8x12x6)
                                =   $544.5
Difference = Brand Q-Brand P
                   =$544.5-$426.24
                   =$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
                     
5 0
4 years ago
Read 2 more answers
PLEASE HELP ME NOW URGENT
timama [110]

ANSWER

y   = 3 \pm \sqrt{21}

EXPLANATION

The quadratic equation is:

{y}^{2}  - 6y - 12 = 0

Group variable terms:

{y}^{2}  - 6y = 12

Add the square of half, the coefficient of y to both sides.

{y}^{2}  - 6y  + ( - 3) ^{2} = 12 + ( - 3) ^{2}

{y}^{2}  - 6y  + 9= 12 + 9

The LHS us now a perfect square trinomial:

{(y - 3)}^{2}= 21

Take square root:

y - 3 =  \pm \sqrt{21}

y = 3 \pm \sqrt{21}

The first choice is correct.

8 0
4 years ago
Read 2 more answers
Find the maximum and minimum values of f(x,y) = 8x+y for the polygonal convex set having vertices at (0, 0), (4, 0), (3, 5), (0,
Helen [10]
F(x,y)=8x+y

This means, f is a function where we plug in pairs of numbers.
then, f calculates the first number times 8, to which it then adds the second number we plugged.

let's calculate f for the vertices:

f(0,0)=8*0+0=0+0=0

f(4, 0)=8*4+0=32+0=32

f(3, 5)=8*3+5=24+5=29

f(0, 5)=8*0+5=0+5=5

the maximum value of f is 32
the minimum value of f is 0
4 0
3 years ago
Other questions:
  • Consider the exponential function f(x) = (15x). What is the value of the growth factor of the function
    7·2 answers
  • It costs $520 to planf 4 acres of corn .how much would it cost to plant 0.6 acre of corn
    15·1 answer
  • (HELP ME PLEASE) In the drawing, g > h. Which statement about the volumes of the two cylinders is true?
    9·2 answers
  • the acceleration of an object due to gravity is 32 feet per second squared. what is acceleration due to gravity in inches per se
    5·2 answers
  • HELPPPPP ASAPPPPPPPPPPPPPPPPP
    11·1 answer
  • Factor (x^2-26x+169-y^2)
    5·1 answer
  • A triangular pane of glass has a height of 42 inches and an area of 336 square inches. What is the length of
    6·1 answer
  • The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
    13·1 answer
  • Solve by completing the square: +12x-13=0
    15·1 answer
  • The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!