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nordsb [41]
2 years ago
11

Find the equation of the line shown

Mathematics
1 answer:
liraira [26]2 years ago
3 0

The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

<h3>What is the equation of a line passing through two given points in a 2-dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The graph of the picture shows two clear points (4.5. 0) and (0, 9)

(y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9

Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.

Learn more about straight-line equations here:brainly.com/question/380976

#SPJ1

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Find the cos A and tan B to four decimal places. URGENT
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cos A is 0.8511 and tan B is 1.6

Step-by-step explanation:

Find the 3rd length or the hypotenuse.

<u>Pythagoras theorem</u>

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<u>Formula:</u>

Cos (Angle) = \frac{adjacent}{hypotenuse}

Cos A =  \frac{8}{9.4}

Cos A = 0.8511

A = cos^{-1} (0.8511)

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b) Tan B

<u>Data: </u>

Opposite = 8

Adjacent = 5

<u>Formula:</u>

Tan (Angle) = \frac{opposite}{adjacent}

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Tan B = 1.6

B =  cos^{-1} (1.6)

B = 58°

Therefore, cos A is 0.8511 and tan B is 1.6.

Keyword: cos, tan

Learn more about cos at

  • brainly.com/question/5013374
  • brainly.com/question/9532142

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