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inysia [295]
3 years ago
11

Find the slope of (3,-24)(19,-48)

Mathematics
2 answers:
fgiga [73]3 years ago
8 0

Answer:

-\frac{3}{2}

Step-by-step explanation:

The slope of a line that passes through two points (x_1, y_1) and (x_2, y_2) is given by:

m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)

Substitute into slope formula:

m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}

nikitadnepr [17]3 years ago
3 0

Answer:

-3/2

Step-by-step explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

   = (-48- -24)/(19 -3)

   = (-48+24)/(19-3)

   = -24/16

   = -3/2

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Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117

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DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

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TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower  ≈ 300.0 m(nearest tenth of a meter)

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