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
olchik [2.2K]
3 years ago
15

What are the 6 trigonometric functions of (4,-2) and (-9,-9)

Mathematics
1 answer:
butalik [34]3 years ago
8 0
<span>Finding the distance, midpoint, slope, equation and the x y-interceptsof a line passing between the two points p1 (4,-2) and p2 (-9,-9)</span>The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula<span><span>d = √</span><span> ((X2-X1)2+(Y2-Y1)2)</span></span><span><span>d = √</span><span>(-9-4)2+(-9--2)2</span></span><span><span>d = √</span><span>((-13)2+(-7)2)
</span></span><span><span>d = √</span><span>(169+49)
</span></span><span><span>d = √</span><span>218
</span></span>


The distance between the points is 14.7648230602334

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2
Xm=(4+-9)/2=-2.5

Find the Y value of the midpoint

Ym=(Y1+Y2)/2
Ym=(-2+-9)/2=-5.5

The midpoint is: (-2.5,-5.5)

Graphing the two points, midpoint and distance<span><span>P1 (4,-2)</span><span>P2 (-9,-9)</span>Midpoint (-2.5,-5.5)The length of the black line is the distance between the points (14.7648230602334)</span>


Find the slope of the line connecting the two points<span><span><span>Slope = </span><span>(Y2-Y1)</span> = (-9--2) = (-7) = 0.538461538461538</span><span><span>(X2-X1)</span>(-9-4)(-13)</span></span>Find the equation of the line passing through the two points

The general equation for a straight line isy = mx + b<span>Where </span>m<span> represents the slope of the line which we found in the previous </span>step<span> to be 0.538461538461538</span><span>y = 0.54x + b</span>We substitute x and y for the values from one of our points (4,-2)<span>-2 = .54×4 + b</span><span>-2 = 2.15 + b</span>-2-2.15 = b-4.15 = b<span>Knowing both </span>b<span> and </span>m, we can contruct the equation of the liney= 0.54x-4.15

X and Y interceptsThe x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y
y= 0.54x-4.150= 0.54x-4.15-0.54x= -4.15x= -4.15/-0.54 = 7.71The x intercept for this straight line is 7.71

The y-intercept is a point on the graph where x is zero


Using the equation we found in the previous step and substituting zero for x
y= 0.54×0-4.15y= -4.15The y intercept for this straight line is -4.15

You might be interested in
5 bullets in a 6 bullet barrell, what are your chances of dying on the first trigger pull?​
Ostrovityanka [42]
Ehh considering i’ve thought about it before, i’d say abt 83 to 85 percent chances of me dying
6 0
2 years ago
Read 2 more answers
Help! I need this done immediately!
wel

Answer:

280

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Show that the Second Derivative Test is inconclusive when applied to the following function at​ (0,0). Describe the behavior of
morpeh [17]

Answer:

See explanations for step by step procedure to answer

Step-by-step explanation:

Given that;

.f (x comma y )equals 8 x squared y minus 3 Confirm that the function f meets the conditions of the Second Derivative Test by finding f Subscript x Baseline (0 comma 0 )​, f Subscript y Baseline (0 comma 0 )​, and the second partial derivatives of f.

See attached documents for clearity, further explanations and answer

6 0
3 years ago
Please don’t answer this im testing something
prisoha [69]

Answer:

uhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone help me in number 3 please
Sholpan [36]

Area of rectangle is the multiplication between the sides.


The first rectangle:


A = (2x + 5) . (3x - 2)

A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5

A = 6x² - 4x + 15x - 10

A = 6x² + 11x - 10


The second rectangle:


A = (5y + 5) . (2y - 3)

A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5

A = 10y² - 15y + 10y - 15

A = 10y² - 5y - 15

4 0
3 years ago
Other questions:
  • Three times the sum of a number and seven is two less than five times the number
    8·1 answer
  • Which on these time measurements is the smallest?
    12·1 answer
  • Dwayne buys 1 loaf of bread and 6 eggs for $4.45. Sheila buys 1 loaf of bread and 1 dozen eggs for $5.65. Let x be the cost, in
    15·1 answer
  • Solve the system by the substitution method -4x + 3y = -7 y = 2x - 5
    15·1 answer
  • Maths assignment <br> a^3-9a
    14·1 answer
  • Please yall im crying this is hard
    13·1 answer
  • Freddie plants carrots in two gardens in each garden he plants three rows of seven carrots what is the total number of carrots f
    10·1 answer
  • Come on y'all dont miss your shot At GETTING MARKET BRAINLIEST AND EXTRA POINTS
    14·1 answer
  • Which expression in equivalent to 12(2n+6) ?
    9·1 answer
  • B) Using the two point above find the slope using the formula m =
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!