If b^2=a then b is what of a?

Answers

Answer 1
1:: If
a
is divisible by a square of a prime number, then we cannot conclude from |2
a
|
b
2
that |
a
|
b
.

Any time
a
is divisible by a square of a prime number, =⋅
a
=
k

p
n
where ≥2
n

2
and
p
does not divide
k
, you can see that
a
divides (⋅−1)2
(
k

p
n

1
)
2
, but
a
does not divide ⋅−1
k

p
n

1
.

Part 2: If
a
is not divisible by a square of a prime number, then we can conclude from |2
a
|
b
2
that |
a
|
b
.

On the other hand, if
a
is not divisible by a square of a prime number, then =12⋯
a
=
p
1
p
2

p
n
where
p
i
is prime for all
p
. Then, assuming
a
divides 2
b
2
, you can conclude that
p
i
divides 2
b
2
, and therefore
p
i
divides
b
(from prime factorization) for all
i
. From this, you can conclude that
a
divides
b
.
Answer 2

Answer:

[tex]\huge\boxed{b = \sqrt{a}}[/tex]

Step-by-step explanation:

If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

[tex]b^2 = a[/tex]

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

[tex]\sqrt{b^2} = \sqrt{a}[/tex]

[tex]b = \sqrt{a}[/tex]

So b is the square root of a.

Hope this helped!


Related Questions

Find -48a divided by 8 when a =1 . Write the answer in simplest form.

The solution is

Answers

Answer: -6

if a=1 then -48a=-48

so when we divide by 8 we ger -48/8 which is -6

The solution to -48a divided by 8 when a =1  is -6.

what is expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6. Complex riddles are solved using mathematical expressions.

Given:

-48a divided by 8 when a =1 .

Now, put a=1 in -48a

=-48 x 1

=48

Now, -48 is divided by 8

=-48/8

= -6

Hence, the solution is -6.

Learn more about expression here:

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What if you had two types of grape drink, one with 5% real fruit juice and another with 10% real fruit juice? Suppose you wanted a gallon of grape drink with 6% real fruit juice. How much of the 5% drink and how much of the 10% drink should you mix together to produce it?​

Answers

Answer: 10.20(20−n)+6.8nNow solve for n:204−10.20n+6.8n204−3.4n−3.4nn=170=0170Distributive Property=170Add like terms.=−34 Subtract 204.=10 Divide by −3.4.

Since n=10, we can plug that into m+n=20.

m+10=20⇒m=10.

The coffee company needs to use 10 pounds of each type of coffee in order to have a 20 pound mixture that costs $8.50 per pound.

Step-by-step explanation: this might be wrote 3 times


A. X=1
B. X=3
C. X= 1,3
D. X= 0,3

Answers

Ccccccccccccccccccccc
The answer is A, X=1
Hope this helps

1 Look at the example above. Use partial
products to multiply 35 X 12. Fill in the blanks.
3 5
X 12
1 0
ones X
ones
2
X 3
5 0
ten X 5
+
ten X 3
4 2 O

Answers

The answer is 420 I guess your doing lattice multiplication so yeah

A number less than 85 has 26 and 6 as a factor what is my number

Answers

First, write out the multiples of 6 and 26. Then find the common multiple they share that is immediately less than 85. (I do 26 first since it will have less multiple and it will give me an idea of what to look for within the multiples for 6)

26: 26, 52, 78 (anything more will be over 85 and we need a number less than 85)

6: 6, 12, 18, 24, 30, 36, 42, 48, 56, 72, 78 (I stopped at 78 since any number after this will be larger than 85)

I now look to find the multiple that both 26 & 6 shares that is also less than 85 and it landed me on the number 78!

The Answer: 78

Hope this helps!

What is 3.298 x 0.00042 =

Answers

Answer:

0.00138516

Step-by-step explanation:

Which is the better buy?
3-foot piece of twine for $7.38
3-yard piece of twine for $16.11

Answers

Three yard piece for 16.11! Hope this helps

Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards

Answers

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

x = 4y + 7
+
What is the answer to the question

Answers

well if you’re looking for y then
x=4y + 7
-4y
x-4y=7
-x. -x
-4y=-x+7
_______
-4. -4. -4
y= 4x - 7/4
i’m pretty sure :)
Y= (x / 4) - ( 7 / 4).

Which of the following inequalities have no solution over all real numbers? Check all that apply.
cos(x) <-2
3sin(x) > 2
sec(x) < 1
-1 < CSC(x) < 1
cos(x) – 1 > 0.5
tan(x) <-4

Please help

Answers

Answer:A,D,E

Step-by-step explanation:

Just did the assignment

Answer: They are right its A, D, and E

Step-by-step explanation:

Who is life insurance best suited for?
A. College students
B. Children
C. People with debt
D. Doctors
SUBMIT

Answers

I believe the answer is A college students sorry if I am wrong but it’s most likely probably gonna be A hope this helped!!!!

Answer:

People with dependents

Step-by-step explanation:

AP3X

Which of the following choices will simplify (8 − 5)2 + 18/3+ 4 ?
19
13
22
None of these choices are correct.

Answers

Answer:

None of these choices are correct.

I have solved u can have a look :)

Answer:

(8-5)²+18/3+4

(3)²+6+4

9+6+4= 19

Follow P.E.M.D.A.S

Start with parenthesis first

(8-5) =3

second step exponents

3² = 9

Third step Division

3÷18 = 6

last step add all the numbers

9+6+4 = 19

19 is your answer!!!

PICTURE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

Because WY⊥YZ and WY⊥WV ⇒ WV║YZ ⇒ ∠YZX ≅ ∠WVX ⇒ ΔXWV ~ ΔXYZ (AAA similarity theorem)

HELP ME PLEASEEEEEEEEEEEEEEEEEEEE

Answers

Answer:AHope this helps!!

HELPPPPP ASAAPPPP PLEASEEEEEE

Answers

Answer:

Step-by-step explanation:

The standard form equation is y = mx + k where m is the slope and k is the y-intercept.

In this problem, it is first asking you for the slope of y = 2x + k. Therefore, the slope would be 2. In the next blank, it is asking for the slope of y = -1/2x + k. In that case, it would have a slope of -1/2.

When you multiply these slopes together, you'll notice that the you'll get -1. Whenever the slopes of 2 equations multiplied together is equal to -1, then those 2 equations are perpendicular to each other.

Finally, it is asking if the statement that says the lines are perpendicular is true. Like mentioned above, because the slopes multiply to -1, they are perpendicular equations making the statement always true.

Answers: 2, -1/2, -1, always.

kayla measures a distance of 50 inches. she needs to find the equivalent number of meters. which conversion factors should she use? check all that apply.
2.54 cm/1 in
1in/2.54 cm
1 meter/100 cm
100 cm/1 meter ​

Answers

The actual answers are A and C.

im taking the assignment right now lol. ♥

Answer:  Correct Answer is 1,3  or A /C

Step-by-step explanation:

1: 2.54 cm/1 in

3: 1 meter/100 cm

$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)

Answers

2.75/100=0.0275
= 24000 x ( 1 + 0.0275 ) ^ 4= 26750.91
26750.91 - 24000 = 2750.90
i’m sorry if it’s wrong

Answer:

(Use the attached formula)

24,000 for 4 years (48 months) at 2.75% interest

We divide rate by 1,200 which equals 0.0022916667

Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000

Monthly Payment = 0.0022916667 + (0.0022916667 /  (1.1161375981  -1) * 24,000

Monthly Payment = [0.0022916667 + (0.0022916667 /  0.1161375981 ] * 24,000

Monthly Payment = [0.0022916667 +  0.0197323411 ] *24,000

Monthly Payment = 0.0220240078  * 24,000

Monthly Payment = 528.5761872  = 528.58 (rounded)

Step-by-step explanation:

Yuto found a backpack on sale for 70 percent off. He used a coupon for an additional 10 percent off. If the original price of the backpack was $55, what is the final price of the backpack before taxes?
$11.00
$14.85
$34.65
$44.00

Answers

Answer:

14.85

Step-by-step explanation:

Answer:

14.85

Step-by-step explanation:

Or B for everyone else

Use the distance formula to show that the two triangles on the coordinate plane are congruent

Answers

Answer:

Step-by-step explanation:

d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} - y_{1} )^2}[/tex]

A(- 5, - 2) , B( - 1, - 6) , C ( - 9, - 6)

AB = √[(- 5 + 1)² + (- 2 + 6)²] = 4√2

BC = √[(- 1 + 9)² + (- 6 + 6)²] = 8

AC = √[(- 5 + 9)² + (- 2 + 6)²] = 4√2

D(2, 2) , E(6, - 2) , F( 10, 2)

DE = √[(2 - 6)² + (2 + 2)²] = 4√2

EF = √[(6 - 10)² + (- 2 - 2)²] = 4√2

DF = √[(2 - 10)² + (2 - 2)²] = 8

ΔABC ≅ ΔEDF

The two triangles ABC and DEF are not congruent by SSS.

What is the distance formula between two points?

The distance formula between two points is,

[tex]D = \sqrt{(x_2 - x_1_)^2 + (y_2 - y_1)^2[/tex].

Two triangles will be congruent by SSS is the distance of their corresponding sides are equal.

In ΔABC coordinates of A and B are (-5, - 2) and (-1, - 6).

[tex]D_{AB} = \sqrt{(- 1 + 5)^2 + (- 6 + 2)^2}[/tex].

[tex]D_{AB} = \sqrt{(4)^2 + (-4)^2[/tex].

[tex]D_{AB} = \sqrt{(16) + (16)[/tex].

[tex]D_{AB} = \sqrt{32}[/tex].

Similarly, the distance of DF in ΔDEF  is [tex]\sqrt{64}[/tex].

hence AB ≠ DF so the triangles are not congruent.

learn more about the distance formula here :

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hurry please
factory the polynomial by grouping

2x^2+ 5x + 10x + 25

Answers

Your answer would be 2x^2+15x+25

The Hallan Lock Cabinet in IKEA it cost $59.00. What is the estimate total?

Answers

sjdjdjjdjdjdjfjfjrjfjffjfjf

PLEASE HELP ME! WILL MARK BRAINLIST!!!!

Answers

Answer:

Yes, {9,−1,−2,−4},{9,−1,−5,5}

Step-by-step explanation:

Since there is one value of y for every value of x in ((9,9),(−1,−1),(−2,−5),(−4,5)), this relation is a function. The relation is a function.

The domain is the set of all the values of . The range is the set of all the values of

y.Domain:{9,−1,−2,−4}Range:{9,−1,−5,5}

<3

Video GameOnions$.37 eachTurkey$1.89 lb.Green Beans$0.53 a canCorn$0.59 an earHeavenly Ham$1.99 a poundPotatoes$4.75 a sackApple Pie$4.99Bread$2.13 a loafPumpkin$12.99Dinner Rolls$1.29 a packEggs$1.59 a doz.Cranberry Sauce$1.59Sweet Potatoes$.39 eachApples$.49Sugar$3.49Butter$1.79 pack of 4Thanksgiving Sales Flyer© La-Nette Mark 2014Directions:Please help slash the food prices to depict a 15% savings on all food for the Thanksgiving Holiday.

Answers

Answer:

0.3145

1.6065

0.4505

0.5015

1.6915

4.0375

4.2415

1.8105

11.0415

1.0965

1.3515

0.3315

0.4165

2.9665

1.5215

WILL MARK AS BRAINLIEST!!!!!

Answers

the answer is Y=2x+1 :)

Which of the following values are solutions to the inequality 1 < 4x-3

Answers

Answer:

x>1 (inequality form)

(1,∞)

Step-by-step explanation:

Hope this helped :)

A can of soup regularly costs "c" dollars. Helena has a coupon for $0.15 off the regular price.
weite an expression to show the price Helena will pay after using the coupon.

Answers

Answer: C-$0.15

Step-by-step explanation:

22a) PLEASE HELP BEST ANSWER BRAINLIEST

Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).
a
What value of k makes these segments perpendicular?

Answers

Answer:

the answer is k=1

Step-by-step explanation:

Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture

Answers

Answer:

H

Step-by-step explanation:

The additive inverse property states that x-x=0, or x+(-x). The property that represents this is H.

Hope this helps plz mark brainliest :D

Can someone help me with this math problem. The slope is 15 and the y-intercept is 10

Answers

Answer:

The equation of the line is y = 15x + 10. You can use Desmos to graph it.

Step-by-step explanation:

Find the midpoint of the line segment from (0,4) to (-1,3)
MIDPOINT=

Answers

Answer:

Midpoint = (-0.5, 3.5)

Step-by-step explanation:

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