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evablogger [386]
4 years ago
6

Simplify the following radicals, showing ALL WORK

Mathematics
1 answer:
Rufina [12.5K]4 years ago
5 0
There’s more hold up

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What is the average of 1/2 and 1/3
nadya68 [22]

Hi there!

In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :

(\frac{1}{2} + \frac{1}{3}) ÷ 2 = average


Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.


To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!


So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.


For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.


for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.


and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6


\frac{5}{6} ÷ 2 = \frac{5}{12}


Your answer is : \frac{5}{12}


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
Factor the following trinomial x^2 + 12x +35
alekssr [168]

Answer:

~~~~~~~~~~Photo math ~~~~~~~~~

3 0
3 years ago
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HELP PLS!! ILL GIVE POINTS !! :(( m
vesna_86 [32]

Answer:  Choice D

15(cos85° + i sin85°)

===========================================================

Explanation:

Let's say we had these two general complex numbers, which are in polar form.

z_1 = r_1*\left(\cos(\theta_1)+i*\sin(\theta_1)\right)\\\\z_2 = r_2*\left(\cos(\theta_2)+i*\sin(\theta_2)\right)\\\\

We can abbreviate them into the shorthand form

z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\

The notation "cis" stands for "cosine i sine".

Now that we have those complex numbers set up, multiplying them is as simple as saying this:

z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)

We do two basic things:

  1. Multiply the r values out front
  2. Add the theta values inside the the cis function

---------------------------------------

With all that in mind, let's tackle the problem your teacher gave you.

The given complex numbers

z_1 = 5*\left(\cos(15^{\circ})+i*\sin(15^{\circ})\right)\\\\z_2 = 3*\left(\cos(70^{\circ})+i*\sin(70^{\circ})\right)\\\\

abbreviate into

z_1 = 5*\text{cis}(15^{\circ})\\\\z_2 = 3*\text{cis}(70^{\circ})\\\\

then those multiply to

z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)\\\\z_1*z_2 = (5*3)*\text{cis}(15+70)\\\\z_1*z_2 = 15\text{cis}(85^{\circ})\\\\z_1*z_2 = 15\left(\cos(85^{\circ})+i\sin(85^{\circ})\right)\\\\

which is why choice D is the final answer.

7 0
4 years ago
Adam plans to choose a video game from a section of the store where everything is 75%
Minchanka [31]

Answer:

Look below

Step-by-step explanation:

In Adam's expression, d represents the original price of the game. 0.75d represents 75% of the original price; this is the amount of the discount, since everything is 75% off.  Taking the difference of the original price and the discount, d-0.75d, gives us the total price of the game. In Rena's expression, 0.25 represents 25%.  This is because taking 75% off of the price means we still pay 100-75 = 25% of the original price. Multiplying the original price, d, by the 0.25, gives us 25% of the original price; this is the total price.

6 0
3 years ago
Determine if each pair of ratios or rates is equivalent (please show work down below)
Ulleksa [173]
Store A's rate is 3 per juice bottle and Store B's rate is also 3 per juice bottle.
6 0
3 years ago
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