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4vir4ik [10]
2 years ago
5

Factor the denominator of the rational function y= 2x/x^2-16

Mathematics
1 answer:
lina2011 [118]2 years ago
8 0

x^2-16 factors to (x-4)(x+4)

You use the difference of squares rule here which is

a^2 - b^2 = (a-b)(a+b)

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Can you help me?Please!!!
iragen [17]
<span>Tran is incorrect because he only has 1/3 of clay left. Noah as 2/4 or 1/2 left. 1/3 < 1/2 </span>
6 0
3 years ago
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

7 0
2 years ago
after elsa backed muffins, her brother ate 4 of them, he ate 2/5 of all the muffins, how many muffins did elsa bake?
kondor19780726 [428]
If he ate 4 of them, but it means he ate 2/5 muffins, 
4 muffins = 2/5 muffins
You substitute x muffins for how much muffins she baked in all -
2/5* x muffins = 4
2/5 multiply by 2/5 to cross it out. Do the same to the other side. 
x= 4 *5/2
x = 10 muffins
So there were 10 muffins in all


6 0
3 years ago
Read 2 more answers
Find the volume of a square pyramid whose base has a perimeter of 25 inches and a height of 9 inches. Round all answers to the n
lana66690 [7]

Answer:

B i would say

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone plz help me with me homework
riadik2000 [5.3K]
The answer to #3 is 52.
4 0
3 years ago
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