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Alexxx [7]
4 years ago
14

Which binomial is a factor of 9x2 – 64?

Mathematics
1 answer:
Margaret [11]4 years ago
7 0

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

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This function can be used to determine the number of bacteria in a culture h hours after the culture was started.
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Answer:

The statement means that after 2 hours, there are 90 bacteria in the culture.

Step-by-step explanation:

The number of bacteria after x hours is given by the function states in the exercise. We have that f(x) will be the number of bacteria after x hours.

Which statement best describes the meaning of the equation f(2) = 90 ?

The statement means that after 2 hours, there are 90 bacteria in the culture.

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Check out attachment:) I don't understand how do you find out the length ?? pls help with explanation thx
hjlf

Answer:

x=3.89

Step-by-step explanation:

I'll go in depth for you.

Before we figure out what we do, let understand what we know about this triangle.

  • We know that both triangles have a angle that measure 27°.
  • We also know EH=5
  • FG=9
  • ZG=7
  • We need to know how to find EZ

Notice how line EG and HF intersect at Angle Z. We know that if two lines intersect at an angle, it form angles called vertical angles. This means that the two angles that are vertical to each other are congruent.

This means that angle Z in both triangles both measure the same.

Now since both triangles have 2 congruent corresponding angles, we can say that the <em>Triangles</em><em> </em><em>are</em><em> </em><em>Similar</em><em> </em><em>due</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>Angle-Angle</em><em> </em><em>Postulate</em><em>.</em>

<em>"</em><em>If</em><em> </em><em>two</em><em> </em><em> </em><em>corresponding</em><em> </em><em>angles</em><em> </em><em>of</em><em> </em><em>two</em><em> </em><em>triangles</em><em> </em><em>are</em><em> </em><em>congruent</em><em>,</em><em> </em><em>then</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>triangles</em><em> </em><em>are</em><em> </em><em>similar</em><em>.</em><em>"</em>

<em>What</em><em> </em><em>is</em><em> </em><em>mean</em><em> </em><em>when</em><em> </em><em>Triangles</em><em> </em><em>are</em><em> </em><em>similar</em><em>?</em><em> </em>

<em>It</em><em> </em><em>means</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>similar</em><em> </em><em>triangles</em><em> </em><em>corresponding</em><em> </em><em>angles</em><em> </em><em>are</em><em> </em><em>equal</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>their</em><em> </em><em>sides</em><em> </em><em>are</em><em> </em><em>in</em><em> </em><em>proportion</em><em>.</em>

<em>The</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>are</em><em> </em>

<em>EH</em><em> </em><em>and</em><em> </em><em>GF</em>

<em>EZ</em><em> </em><em>and</em><em> </em><em>ZG</em>

<em>HZ</em><em> </em><em>and</em><em> </em><em>HF</em><em>.</em>

<em>Our</em><em> </em><em>proportion</em><em> </em><em>formula</em><em> </em><em>for</em><em> </em><em>similar</em><em> </em><em>triangle</em><em>s</em><em> </em><em>is</em><em> </em>

<em>Any</em><em> </em><em>two</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>triangle</em><em> </em><em>divided</em><em> </em><em>by</em><em> </em><em>each</em><em> </em><em>other</em><em> </em><em>must</em><em> </em><em>equal</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>triangles</em><em> </em><em>divided</em><em> </em><em>by</em><em> </em><em>each</em><em> </em><em>other</em><em> </em><em>respectively</em><em>.</em>

<em>We</em><em> </em><em>know</em><em> </em><em>FG</em><em> </em><em>and</em><em> </em><em>ZG</em><em> </em><em>so</em><em> </em><em>let</em><em> </em><em>set</em><em> </em><em>up</em><em> </em><em>our</em><em> </em><em>first</em><em> </em><em>fraction</em>

<em>\frac{fg}{zg}</em>

<em>The</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>both</em><em> </em><em>are</em><em> </em>

  • <em>EH</em><em> </em><em>and</em><em> </em><em>EZ</em><em> </em><em>respectively</em><em> </em><em> </em><em>so</em><em> </em><em>our</em><em> </em><em>proportion</em><em> </em><em> </em><em>looks</em><em> </em><em>like</em>
  • <em>\frac{fg}{zg}  =  \frac{eh}{ez}</em>
  • <em>Plug</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>for</em><em> </em><em>each</em><em>.</em><em> </em><em>Let</em><em> </em><em>x</em><em> </em><em>represent</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>EZ</em>
  • <em>\frac{9}{7}  =  \frac{5}{x}</em>
  • <em>Cross</em><em> </em><em>Multiply</em>
  • <em>9x = 35</em>
  • <em>x = 3 \frac{8}{9}  = 3.89</em>
  • <em>So</em><em> </em><em>x</em><em>=</em><em>3</em><em>.</em><em>8</em><em>9</em>
3 0
3 years ago
Find the distance between (-3,-1) and (4, 2). (Round up to the nearest hundredths.)
yanalaym [24]

Answer:

The answer is

<h2>7.61 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-1) and (4, 2).

The distance is

d =  \sqrt{ ({ -  3 - 4})^{2}  +  ({ - 1 - 2})^{2} }  \\  =  \sqrt{ ({  - 7})^{2}  +  ({ -   3 })^{2} }  \\  =  \sqrt{49 + 9}  \\  =  \sqrt{58}  \\  = 7.615773

We have the final answer as

<h3>7.61 units to the nearest hundredth</h3>

Hope this helps you

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3 years ago
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GaryK [48]
Explanation
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8 0
3 years ago
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