1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
3 years ago
10

Solve the following surd given below (1-√5)÷(1+√5)​

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

\dfrac{1-\sqrt 5}{1+\sqrt 5}\\\\\\=\dfrac{\left( 1- \sqrt 5\right)\left( 1- \sqrt 5\right)}{\left( 1+ \sqrt 5\right)\left( 1- \sqrt 5\right)}\\\\\\=\dfrac{\left( 1-\sqrt 5)^2}{1^2 - \left(\sqrt 5 \right)^2}\\\\\\=\dfrac{1+\left(\sqrt 5 \right)^2 -2 \sqrt 5\cdot 1}{1-5}\\\\\\=\dfrac{1+5-2\sqrt 5}{-4}\\\\\\=-\dfrac{6-2\sqrt 5}{4}\\\\\\=-\dfrac{2\left(3-\sqrt 5 \right)}{4}\\\\\\=-\dfrac{3-\sqrt 5}{ 2}\\\\\\=\dfrac{\sqrt 5 -3}{2}

You might be interested in
NEED HELP ASAP!!!<br> What is the expression in radical form? Show your work.<br> (2x^3y^4)3/7
cricket20 [7]

Answer:

2x3y4(3)

7

=

6 /7 x3y4

Step-by-step explanation:

7 0
3 years ago
Your class is selling boxes of flowers as a fundraiser. The profit p depends on the amount x that your class charges for each bo
Korvikt [17]

Answer:

$ 22.6

Step-by-step explanation:

Given that

Price charged for each box of seeds = x

Profit gained from from selling boxes of seeds = p

The equation of profit is modeled as

P(x) = 0.5x² + 36x - 179

As per given information if the fundraisers make a profit of  $379 then find the minimum price charged for each box of seed.

Now our above equation becomes

379 = -0.5x² + 36x - 179

Simplifying

379+179 = -0.5x² + 36x

558 = -0.5x² + 36x

0.5x² - 36x + 558 =0

multipying both sides of equation by 2

2(0.5x² - 36x + 558) = 2x0

x² - 72x +1116 = 0

Using quadratic formula we get the following factors

x= 49.4 or x= 22.60

As we can the smalles value is 22.6

So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.

NOTE.- just substitute values and resolve

5 0
4 years ago
Prove algebraically what type of function this is (even, odd, or neither).<br> f(x) = x4 – x2
murzikaleks [220]

Answer:

that's an even function

Step-by-step explanation:

because the greatest degree is 4 and that is even number.

3 0
3 years ago
You are giving the following amounts: $190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of th
Pie
This is a really simple problem once you understand how to solve it, and that's what I'm going to show you! :)

When calculating the mean (average) of multiple numbers, your first step is to add the numbers together.
190,258.50 + 152,698.00 + 122,753.00 + 220,523.00 + <span>231,951.00 = 918,183.50

Then you take the sum of your numbers, and divide the sum by the amount of numbers added, which in your case, is 5.

918,183.50/5 = 183,636.70

The average of these numbers is $183,636.70

Feel free to message me or comment with any questions you have about this.
</span>
5 0
3 years ago
What equation represents the line that passes through the points (3, -2) and (-1, 10)​
cestrela7 [59]

Answer:

y=-3x-9

Step-by-step explanation:

Let's find the slope of the line

m=-2-10/3--1

m=-12/4=-3

The equation is given as

y-y1=m(x-x1)

y--2=-3(x-3)

y+2=-3x+9-2

y=-3x-7-2

y=-3x-9

8 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how to write 50,000 using exponents. Answer can only be one number but the answer can have as much exponents as wanted
    11·1 answer
  • Kathryn goes out lunch with Mia and Fran. each girl orders the $7 lunch speical. Kathryn agrees to pay the bill. How much will s
    13·2 answers
  • What values for a, b, and c make this equation true? (x – 1)(2x + 3) + (ax2 + bx + c) = 5x2 – 3x + 2
    12·1 answer
  • What situation does –6 most likely represent?
    10·2 answers
  • Evaluate<br> Given h(x) = -x -4, find h(-6)
    12·1 answer
  • This is a compound event problem. (Check the videos from this week's assignments.).
    10·1 answer
  • Which value for x makes the sentence true?
    6·2 answers
  • Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PI
    15·1 answer
  • Can someone help brainllest and 20 points
    10·1 answer
  • PLEASE HELP ME OUT <br><br> Convert the following<br><br> 35 mL = _____dL<br><br> 950 g = _____ kg
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!