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timurjin [86]
2 years ago
13

If a line has a slope of -3 and goes through the point (-4, 10), then the equation for the line in slope-intercept form is _____

_________.
a.)

y = 3x - 26


b.)

y = 3x + 2


c.)

y = -3x - 2


d.)

y = -3x + 26
Mathematics
1 answer:
bearhunter [10]2 years ago
8 0

Answer:

c.) y = -3x - 2

Explanation:

Given following:

  • slope (m): -3
  • pass point: (-4, 10)

Equation:

\sf y - y_1 = m(x - x_1)

\sf y - 10 = -3(x - (-4))

\sf y - 10 = -3(x  + 4)

\sf y  = -3x -12 + 10

\sf y  = -3x -2

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Step-by-step explanation:

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3 years ago
A triangular pyramid is formed from three right triangles as shown below.
Lady bird [3.3K]

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

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BD = √4225

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3 years ago
22/12 divided by 88/6
aivan3 [116]
.00347222222 . Go Brainly!

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3 years ago
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PIT_PIT [208]

The probability that a plant in the experiment receives visible or ultraviolet light is 7/10.

<u>Step-by-step explanation</u>:

The total number of plants in the experiment = 30 plants

Plants that receive visible light alone = 12 plants

Plants that receive ultraviolet light alone = 15 plants

Plants that receive both visible and ultraviolet light = 6 plants

<u>step 1</u> :

<em>Probability = No. of required events / Total number</em>

<u>step 2</u> :

P(visible) = 12 / 30

P(ultraviolet) = 15 / 30

P(both) = 6 / 30

<u>step 3</u> :

P(visible  or ultraviolet) = P(visible)  + P(ultraviolet) - P(both)

                                         = 12/30 + 15/30 - 6/30

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P(visible  or ultraviolet) = 7/10

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3 years ago
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