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taurus [48]
3 years ago
11

Show that it is not possible for the lengths of the

Mathematics
1 answer:
xeze [42]3 years ago
7 0
1. Check the picture below.

2. By the well known intersecting secants property: AO*OC=BO*OD

3. Since the segments are assumed to be consecutive integers, AO, OC cannot be the smaller, and neither can AO<BO and OC<OD. 
The only possibility is that the multiplication of the smallest to the largest is equal to the multiplication of the middle 2.

4. For example : 4*5=2*10, we must have 4>2 but 5<10

Here the ordering is 2<4<5<10, similarly assume BO<AO<CO<DO

5. since the segments are of consecutive integers length, let them be 

BO=n, AO=n+1, CO=n+2, DO=n+3

6. AO*CO=BO*DO

so n(n+3)=(n+1)(n+2)
     n^{2}+3n=  n^{2}+3n+3
     so 0=3 which makes no sense, so no solution with the assumed conditions.

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Pls help, quickly!!!!
Lostsunrise [7]

Answer:

D. 0.665

Step-by-step explanation:

To find the standard form of something in scientific notation, we multiply both numbers. Since 10^-1 is our number with a base of 10, and it has a exponent of -1, we move the decimal place of the other number one to the left. So our answer is D, 0.665.

5 0
3 years ago
(w^5 z^2 )(−9w^2 z^5)
Lady_Fox [76]
We have that
(w^5*z^2)*(-9*w^2*z^<span><span>5)</span> 

</span><span>Multiplying exponential expressions
we know that
</span>w^5<span> multiplied by </span>w^<span>2 = w</span>^<span>(5 + 2) = w</span>^7
and
z^2<span> multiplied by </span>z^<span>5 = z</span>^<span>(2 + 5) = z</span>^7

therefore
(w^5*z^2)*(-9*w^2*z^5) =-9*( w^7)*( z^7)
-9*( w^7)*( z^7)=-(3^2)*( w^7)*( z^7)

the answer is
-(3^2)*( w^7)*( z^7

5 0
3 years ago
Explain why the APR does not compare loans for different lengths of time
Usimov [2.4K]

Answer:

APR does not tell you how long your rate is locked for. A 15-year loan may have a lower interest rate, but could have a higher APR, since the loan fees are amortized over a shorter period of time. It is not wise to compare a 30-year loan with a 15-year loan using their respective APRs.

Step-by-step explanation:

7 0
3 years ago
How do you solve this?
Murrr4er [49]

Answer: I thought you already asked this question.

Step-by-step explanation:

4 0
1 year ago
The base of this prism is______________ triangle.
Sonbull [250]
I’m gonna guess B but can’t tell you for sure if you don’t post a pic lol
8 0
3 years ago
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