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blagie [28]
3 years ago
15

What is the slope of the line represents by 5x-12y=24 -2 24/5 -12 5/12 How do you get the answer? Please epxlain

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

5x - 12y = 24 - it's a standard form of equation of a line

The slope-intercept form: y = mx + b

m - slope

b - y-intercept.

Convert the standard form to the slope-intercept form:

5x - 12y = 24       <em>subtract 5x from both sides</em>

-12y=-5x+24      <em>divide both sides by (-12)</em>

y=\dfrac{5}{12}x-2

Answer: \boxed{\dfrac{5}{12}}

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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
sveta [45]

Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

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2 years ago
Find the volume of the triangular prism.
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3 years ago
I need help with number 4 and number 3 please
dangina [55]
For Question 3, 
15      ?
__ = ____
120     100

120?=1500
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?=12.5%

Question 4

I think it is $462.80


5 0
4 years ago
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