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SOVA2 [1]
2 years ago
5

Use the points (1, -3) and (5, 9) for the following problems. a. Determine the slope between the two points above using the slop

e formula. Show all work.
b. Use the slope from part (a) and one point from above to write the equation in point-slope form.
Mathematics
1 answer:
elena55 [62]2 years ago
6 0

Slope =3

process--

\frac{9- (-3)}{5-1}=\frac{12}{4} =3

Point-slope form is 3x-y-6=0 (using the first set of points, (1,-3) )

process--

y-9=3(x-5)

y-9=3x-15

y=3x-15+9

y=3x-6

<u><em>3x-y-6=0</em></u>

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Gemiola [76]

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

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3 years ago
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creativ13 [48]
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Step-by-step explanation:

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