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
A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
Ann [662]

After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. \rm y = a^x

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

A = $2152336.05

Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

6 0
1 year ago
A farm has chickens and cows. All the cows have 4 legs and all the chickens have 2 legs.
sineoko [7]

Answer:

their are 17 cows

Step-by-step explanation:

7x2=14

82-14=68

68/4=17

5 0
2 years ago
In what way is geometry related to basic math.
Shtirlitz [24]
<span> Geometry is the study of points, lines, angles, surfaces, and solids.</span>Geometry is all about shapes<span> and their properties.
</span>And to do so you must use a ruler to identify them right?

Hope this helps!
6 0
3 years ago
Read 2 more answers
Two brothers have a total age of 28 if one brother is older by 20 years how old is the second brother
svlad2 [7]

Answer:

8

Step-by-step explanation:

Total meaning addition, you would use the opposite operation to find the answer.  

28 - 20 = 8

And to check your work you would add;

20 + 8 = 28

which is the brothers total combined age.  

6 0
3 years ago
Read 2 more answers
A survey of 423 people shows that 321 have never received a traffic violation. Find the sample proportion of those who have rece
OLEGan [10]
24% :)

(please mark me as brainliest) <3
6 0
3 years ago
Other questions:
  • The formula d = rt. Find how long it takes an airplane to fly 375 at 500 miles per hour
    5·1 answer
  • To help prevent fraudulent use of your credit cards, ask the clerk to destroy carbons of receipts with your signature, and keep
    10·1 answer
  • Xander goes to the movies with his soccer team. Each team member buys a ticket and two
    13·1 answer
  • What passes through (-2,5) and (3,9)
    7·1 answer
  • Andrew is searching for a cup and discovers that he has 20 plates for every 5 pairs of cups. if he has 40 plates, how many pairs
    10·1 answer
  • What is the slope of the line passing through the point 3,5 and -1,7
    13·1 answer
  • What is 4n 8 equivalent to
    6·1 answer
  • Please help me it would be much appreciated! I promise to mark brainlest!
    13·2 answers
  • If 6 = -3n+4, then - 3n +4 =6 is an example of which property of equality
    14·1 answer
  • The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!