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Nonamiya [84]
3 years ago
6

Which polynomial identity will prove that 49-4=45

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
Consider the polynomial identity (difference of squares):
(x+y)(x-y) = x² - y²

Set x =7 and y = 2 to obtain
(7+2)*(7-2) = 7² - 2²
9*5 = 49 - 4
45 = 49 - 4
This is the result required, obtained by using difference of squares.

Answer: Difference of squares.
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A circle has a radius of length r. If you mark off an arc on the circle of length 2r what is the measurement of the angle that s
Inessa05 [86]
A full circle has a circumference of 2πr and an angle of 2π radians.

Set up a proportion:
2πr - 2π rad
2r - x rad

2\pi r \times x = 2\pi \times 2 r \\
2\pi r x=4 \pi r \\
x=\frac{4 \pi r}{2 \pi r} \\
x=2

The answer is D. 2 radians.
6 0
3 years ago
Read 2 more answers
Distribute and simplify these radicals. 12 x(-1+ √5)
Serga [27]
Hello there!

Here is the answer worked out for you!
12x[-1+sqrt(5)]
-12x+12xsqrt(5)

Remember that you can only add like terms so you can't add -12x to 12xsqrt(5). The radical makes it an unlike term.

I hope this helped and best wishes!

5 0
3 years ago
Read 2 more answers
Sally's balance on her credit card is $75.00 on the first day of august. she makes a payment of $18.00 on august 17 and
Travka [436]

The average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

<h3><u>Averages</u></h3>

Given that Sally's balance on her credit card is $75.00 on the first day of August, and she makes a payment of $18.00 on August 17 and a new purchase of $41.00 on August 29, and the annual interest rate is 21.25%, to determine what is Sally's average daily balance and finance charge for the month of August, the following calculation must be made:

  • 75 x ((21.15/12 x 16) / 100) + 75 = A = 86.89
  • 57 x ((21.15/12 x 13) / 100) + 57 = B = 70.06
  • 98 x ((21.15/12 x 3) / 100) + 98 = C = 103.18
  • (86.89 x 16 + 70.06 x 13 + 103.18 x 3) / 31 = X
  • 84.21 = X
  • 86.89 + 70.06 + 103.18 - 75 - 57 - 98 = Y
  • 30.13 = Y

Therefore, the average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

Learn more about averages in brainly.com/question/23455102

#SPJ1

6 0
1 year ago
You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan c
Virty [35]

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

7 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP !!!
BartSMP [9]
You know that a straight line has an angle of 180 degrees; 

48+x+x=180 <-- since they are all on the same time
48+2x=180 
2x=180-48 
2x=132
x=132/2
x=66

Therefore, the x value is 66 degree. 

Hope I helped :) 
8 0
2 years ago
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