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3 years ago

In solving \$x^{2}=3\$ we obtain _______

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

For this case we must solve the following equation:

$x ^ 2 = 3$

So we have to:

Applying square root to both sides of the equation:

$x = \pm \sqrt {3}$

Thus, we have two roots:

$x_ {1} = \sqrt {3} = 1.7321\\x_ {2} = - \sqrt {3} -1.7321$

Answer:

$x_ {1} = 1.7321\\x_ {2} = - 1.7321$

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How do you solve for a and b showing your work

Mariulka [41]

Answer:

a) 4

b) $\frac{1}{2} \sqrt{y^5}$

Step-by-step explanation:

PART A

Simplify the expression by solving out the square roots.

$\frac{\sqrt{16} \sqrt{p} }{\sqrt{p}}$ = $\frac{4 \sqrt{p} }{\sqrt{p}}$

You can cancel out the $\sqrt{p}$ on the top and bottom.

So, a should be 4.

PART B

Solve out the square root. The square root is pretty much the 1/2 power, so you can divide the exponents by half.

$\frac{\sqrt{y^{10}} }{\sqrt{4y^{5}} }$ = $\frac{y^{5}}{2y^{\frac{5}{2}} }$

You can subtract exponents to divide them. So the y variable becomes $y^{5 - 5/2}$ , or $y^{5/2}$ .

Then, the overall expression is $\frac{1}{2} y^{\frac{5}{2} }$ , or you can turn that into $\frac{1}{2} \sqrt{y^5}$ .

5 0

4 years ago

Please help, Find the perimeter of the figure to the nearest hundredth

ElenaW [278]

Answer:

36.56 in

Step-by-step explanation:

perimeter is the sum of all sides

u add all the sides of the square by 6

6+ 6 + 6 + 6 = 24

circumference is the line around the circle

circumference = 3.14 x diameter

c = 3.14 x 4

c = 12.56

24 + 12.56 = 36.56

to the NEAREST HUNDREDTH????? ok welll thats alr

remember

5 or more, raise the score

4 or less, let it rest

this should be fine since the last 6 is alr in the hundredth place :)

like this up !!

6 0

3 years ago

Read 2 more answers

2a - b = ac + 3b for a

DaniilM [7]

Answer:

If your trying to solve for a, I believe this is the answer: a = 4b / (2 - c)

Step-by-step explanation:

2a - b = ac + 3b

First you want to group by like terms, so for "b" you are going to add "b" to both sides so that it cancels out on the left side and you now have all of your "b's" on the right.

2a = ac + 4b

next, you want to get the a's on the left side so you are going to subtract "ac"

2a - ac = 4b

Now, you need to factor the "a" out, and since its the greatest common factor among the "2a - ac" you are left with "a(2 - c)"

a(2 - c) = 4b

Finally divide both sides by "(2 - c)"

a = 4b / (2 - c)

and that's your answer

4 0

3 years ago

Mia has a coin collection. A friend called Carmen asks her how many coins she has. Mia says that the 8 coins she has shown Carme

Murrr4er [49]

Answer:

160

Step-by-step explanation:

This is basically saying "8 is 5% of what number (total)"?

Note: 5% in decimal is 5/100 = 0.05

When translating a word statement into algebra, we need to note that "is" means "equal" and "of" means "multiplication".

Let's translate "8 is 5% of what number (total)" (letting total number of coins be n):

8 = 0.05 * n

solving, gives us:

8 = 0.05*n

n = 8/0.05 = 160

Hence, total number of coins Mia has is 160

3 0

3 years ago

Rachel has a $15,000, three-year loan with an APR of 725%. A. What is the monthly payment? B. What is the total amount of the mo

alexandr402 [8]

Answer:

Step-by-step explanation:

8 0

3 years ago

In solving \\(x^{2}=3\\) we obtain _______