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k0ka [10]
3 years ago
6

Simplify the radical

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

\sqrt{108}  \sqrt{36  \times 3}  \sqrt{36}  \sqrt{3}   \:  \: 6 \sqrt{3}  \:  \:  \:  \sqrt{108}  = 10.392304845413264

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A² + b² = 7b and b² + (2b-a)² = 7² find (a - b)².
Mamont248 [21]

Answer:

(a - b)^2 = 49 - 4b^2 +2ab

Step-by-step explanation:

Given: a^2 + b^2 = 7b (assuming A is really “a”)

b^2 + (2b - a)^2 = 7^2

Find; (a - b)^2

Plan: Use Algebraic Manipulation

Start with b^2 + (2b - a)^2 = 7^2 =>

b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.

a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms

a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>

a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2

(a - b)^2 = 49 - 4b^2 +2ab

Double Check: recalculated ✅ ✅

(a - b)^2 = 49 - 4b^2 +2ab

4 0
3 years ago
Given HIJ ≌ MNO and HI = 15, IJ = 8, and JH = 11, what is OM?
Irina-Kira [14]
I hope im not to late to help but the anwers is 11 because JH and OM the same :)

3 0
3 years ago
Find the sum. (adding and subtracting polynomials)
OverLord2011 [107]

Answer:

(-8x - 12) + (9x + 4)= x-8

(-3p^3 + 5p^2 - 2p) + (3r^2 - 3r)= -3p^3+5p^2-2p+3r^2-3r

( -3p^3 + 5p^2 - 2p) + (-p^3 - 8p^2 -15p)= -4p^3-3p^2-17p

. ( 9r^2+4r-7) + (3r^2-3r)= 12r^2+r-7

7 0
3 years ago
If the time is 9:20 am. What time will it be after three hours and fifty minutes?
yarga [219]

Answer:

The time would be 1:10 pm.

Step-by-step explanation:

9:20 + 3 hours is 12:20.

50 minutes after 12:20 is 1:10.

3 0
3 years ago
Read 2 more answers
david ran on a straight track. every time he ran 480m, he took a break. After 2 breaks, he still had to run 120 m to complete th
kipiarov [429]

Answer:

The distance of the playground is 540m

Step-by-step explanation:

Here, we are interested in calculating the length of the playground given the information in the question.

Where to attack the question from is the segment that states that he took a break after 480m and also had 2 breaks. Thus, the distance traveled would be 480 * 2 = 960 m

Now, to find the length of the track, we add the distance covered plus the distance uncovered. Mathematically that would be 960m + 120m = 1,080m

In the last part of the question, we are told that the track is twice as long as the playground. This means that the length of the playground or the distance of the playground is 1080/2 = 540 m

4 0
4 years ago
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