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Julli [10]
3 years ago
9

How do you "undo" a squared number or variable?

Mathematics
2 answers:
ANEK [815]3 years ago
8 0
Roots" (or "radicals") are the "opposite" operation of applying exponents<span>; you can "undo" a power with a radical, and a radical can "undo" a power. For instance, if you square </span>2<span>, you get </span>4<span>, and if you "take the square root of </span>4<span>", you get </span>2<span>; if you square </span>3<span>, you get </span>9<span>, and if you "take the square root of </span>9<span>", you get </span>3: <span>  </span>
vodomira [7]3 years ago
3 0
Dividing a said number by itself should get rid of its square
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Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest
lidiya [134]
Perimeter: P=62 feet
P=2(b+h)
62=2(b+h)
Dividing both sides of the equation by 2:
62/2=2(b+h)/2
31=b+h
b+h=31   (1)

Area: A=bh   (2)

Isolating h in equation (1)
(1) b+h=31→b+h-b=31-b→h=31-b   (3)

Replacing h by 31-b in equation (2)
(2) A=bh
A=b(31-b)
A=31b-b^2

To maximize the area:
A'=0

A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b

A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
31=2b
Dividing both sides by 2:
31/2=2b/2
31/2=b
b=31/2=15.5

Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2

The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
The area with these dimensions is: A=(15.5 ft)(15.5 ft)→A=240.25 ft^2

These dimensions are not in the options

1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2

The third option has the largest area.

Answer: Third option  
 
4 0
2 years ago
Read 2 more answers
Jason bought a jacket on sale for 50% off the original price and another 25% of the discount price. If the dragon originally cos
anzhelika [568]

Answer: Jason paid $33 for the jacket

Step-by-step explanation: 50% of 88 is 44. Because it’s percent off we subtract. 88-44=44. That’s the discount price. Now we discount the discounted price. Remember that this is NOT a 75% discount, it’s two separate discounts. 25% of 44 is 11. 44-11=33. The final price is $33.

7 0
3 years ago
Read 2 more answers
How to decompose 1 1/6
bearhunter [10]

Answer:

7/6

Step-by-step explanation:

6*1=6

6+1=7

7/6

Hope this helped! :)

3 0
1 year ago
What is the difference between AD and BC​
MissTica

Answer:

Jesus Christ

Have a nice day

3 0
3 years ago
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Find the median of the data.<br><br> 12, 10, 14, 9, 8, 9, 15, 15
hram777 [196]

Answer:

11

Step-by-step explanation:

First, order the numbers in the given set from least to greatest:

8 , 9 , 9 , 10 , 12 , 14 , 15 , 15

The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.

In this case, the middle numbers are 10 & 12:

Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:

(10 + 12)/2 = (22)/2 = 11

11 is your median.

~

5 0
2 years ago
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