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sattari [20]
3 years ago
9

What is the name given to this pair of angles?

Mathematics
1 answer:
poizon [28]3 years ago
3 0

They are corresponding angles.

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If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

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

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
Ascending order 1/2 1/3 5/12 3/4​
tekilochka [14]

Answer:

1/3, 5/12, 1/2, 3/4

Step-by-step explanation:

5 0
2 years ago
The dot plot shows the height, in feet, of a group of trees being studied. How many trees are being studied? Enter the answer in
suter [353]

Answer:13

Step-by-step explanation: I took the test in K12 and the answer is 13

3 0
3 years ago
How many liters are in 1 dekaliter?
shepuryov [24]

Answer:

nsdkbljcb;awjef

Step-by-step explanation:

jwaefjalfjwkhjefkuw

7 0
3 years ago
Is the relation a function? <br><br> {( 1, 12), (3, 14), (14, 3), (5, 12)}<br><br> yes or no
Iteru [2.4K]

Answer:

Yes.

Step-by-step explanation:

Yes because each  value of x maps to a single value of y.

THere is a many-to-one relation with (1, 12) and (5, 12) but that is OK  for a function.  What would not be OK  is if we had a one-to-many relation like  (1, 12) and (1, 14)  included in the ordered pairs - that is not a function.

6 0
3 years ago
Read 2 more answers
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