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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

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3 years ago
Answer quickly plz
Rainbow [258]

Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

Pi = π = 3.14

Step-by-step explanation:

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

π = 18.84 inches/6 inches

π = 3.14

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

The formula for the area of the circle = πr²

Circle A has a diameter of 7 inches, an area of 38.465 square inches.

r = Radius = 7 inches ÷ 2

= 3.5 inches

π = Area / Radius²

π = 38.465 in²/(3.5 inches)²

π = 3.14

For Circle B

The diameter of circle B is 6 inches, and the area is 28.26 square inches.

r = Radius = 6 inches ÷ 2

= 3 inches

π = Area / Radius²

π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

8 0
3 years ago
Can someone explain how to do this?
pogonyaev

Answer:

For the first one use the formula

y=x*2

For the second use

y=x*4

The third is

y=x*15

The fourth is

y=x*16

Step-by-step explanation:

To find the value of the y units, u have to multiply any x unit with the first y unit given but not 0

idk if it makes sense but i tried

good luck!!

7 0
3 years ago
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How do I do this? I don’t understand
Ganezh [65]
You have to input the 5 into the x place. so it would be y=3(5) and you get the answer y=15
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