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balandron [24]
3 years ago
13

The linear model d = 0.15+.35t represents the data found for the dive of a local swim team where t represents the duration of th

e dive in seconds and d is the depth of the dive in feet.
What does the slope represent?

A
That if the dive was increased by 1 second, the depth would increase by about .15 feet.
B
That if the dive was increased by 1 second, the depth would increase by about .35 feet.
C
That if the dive was increased by .15 seconds, the depth would increase by about 1 foot.
D
That if the dive was increased by 35 seconds, the depth would increase by about 1 foot.
Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

B   That if the dive was increased by 1 second, the depth would increase by about .35 feet.

Step-by-step explanation:

The coefficient of the variable represents the rate of change

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Can someone please help with this math question:)
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<u>Solution</u><u>:</u>

The rationalisation factor for \frac{1}{ a -  \sqrt{b}  } is a + \sqrt{b}

So, let us apply it here.

\frac{1}{5 -  \sqrt{2} }

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

=  \frac{1}{5 -  \sqrt{2} }  \times  \frac{5 +  \sqrt{2} }{5 +  \sqrt{2} }  \\  =  \frac{5 +  \sqrt{2} }{(5 -  \sqrt{2})(5 +  \sqrt{2} ) }  \\  =  \frac{5 +  \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2}   }  \\  =  \frac{5 +  \sqrt{2} }{25 -  2}  \\  =  \frac{5 +  \sqrt{2} }{23}

<u>Answer:</u>

<u>\frac{5 +  \sqrt{2} }{23}</u>

Hope you could understand.

If you have any query, feel free to ask.

5 0
2 years ago
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