Mathematics High School

Root5 /2 root5 -1
can be written in the form
a+rootb /c
where a, b and c are integers.
Find the values of a, b and c when the resulting fraction
is written in its simplest form.

Root5 /2 Root5 -1can Be Written In The Forma+rootb /cwhere A, B And C Are Integers.Find The Values Of

Answers

Answer 1

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]

Related Questions

If you purchased 450 shares of Apple stock 3 years ago for $112.30 per share and you paid 4%
commission for the purchase. How much was the total purchase cost you?

Answers

Answer: $52556.40

Step-by-step explanation:

Price per share = $112.30

Number of shares = 450

Cost of the shares = 450 × $112.30 = $50535

Since there is a 4% commission, the total cost of the purchase will be:

= $50535 + (4% × $50535)

= $50535 + (0.04 × $50535)

= $50535 + $2021.40

= $52556.40

ABCD is a rectangle with angleBAC =32 and find angleDBC

Answers

Answer:

Angle BAC= Angle DBC ( vertically opposite angels are equal)

Therefore, Angle DBC = 32 degree

Step-by-step explanation:

I hope it is correct.

Can somebody please help me with this question? I’ll make brainliest

Answers

Answer:

constant term= 8

exponent of the third term= 1

Step-by-step explanation:

the constant is the term that does not have a variable/letter attached to it...that would be positive 8

the third term is 3y, but there is an "understood" exponent of 1 there...it's just useless to say [tex]3y^{1}[/tex]

What’s the answer to this problem

Answers

Answer:

2

Step-by-step explanation:

It’s not real

Kylie and her three friends equally divided the cost to rent a movie for $4 and order sandwiches for a total of $15. They also have a coupon for $3 off the sandwiches. Evaluate to find the cost each person will pay.
Also the first person to answer gets brainlest :)

Answers

Answer:

4

Step-by-step explanation:

4+15-3=16 (the total amount plus coupon)

16/4=4 (divided by 4 to find out how much each friend pays)

What is the radius of the cone in the diagram? Round your answer to the nearest whole number.

Answers

Answer:

4

Step-by-step explanation:

R= 4Units


Step-by-step Explanation:

Volume of the cone = 101.06 Cubic Units
Height (h) = 12 Units
Radius (r) = ?

Thus formula, for volume of the cone = 1/3 *πr2h

(Plug in the values and solve for r):
1/3*π*r2* 12 = 201.06
r2*4 *π = 201.06
r2* 12.57 = 201.06


(Divide both steps by 12.57):
r2 = 201.06/12.57
r2 = 15.9952267
r = [15.9952267
r = 4 Units


Hopefully this helps???

Jon is taking a 625 mile trip. On the first day, he drove 183 miles.

How many more miles does he have to drive?


Answers

Answer:

442

Step-by-step explanation:

625-183=442

The more miles he have to drive is 442miles.

We have given that,Jon is taking a 625 mile trip.On the first day, he drove 183 miles.

We have to find the how many more miles does he have to drive.

What is the formula for the total miles drive?

Total distace mile drove =mile drove first day+Remaining drove in miles

So we can write it as,

Total distance  miles-Miles drove first day= Remaining miles

Total distance=625

first day distance=183

Remaining distance

=625-183

=442

Therefore the remaining distance is 442miles.

To learn more about the distance visit:

https://brainly.com/question/23848540

y=kx k=-4 and x= 5/6. find the value of y

Answers

Answer: y= 13

Heart if it helped

Brain if im cool

find the probability that the pitcher will throw exactly 4 pitches ​

Answers

Answer:

[tex]\frac{3}{20}[/tex] = 0.15

Step-by-step explanation:

15 + 20 + 40 + 15 + 10 = 100

[tex]\frac{15}{100} = \frac{3}{20}[/tex] = 0.15

The hanger image below represents a balanced equation.
Write an equation to represent the image.

Answers

Answer:

there is no image

Step-by-step explanation:

Theres no image.........

pls help me get this answer I need it quick

Answers

Answer: 6

Step-by-step explanation:

Pythagorean Theorem

Answer:

6

Step-by-step explanation:

the 2 shortest legs squared and added together is the same as the longest leg squared

100-64=36 ([tex]10^{2}[/tex]-[tex]8^{2}[/tex]=36)

[tex]\sqrt{36}[/tex] is 6 (36÷6=6)

the equations are in parentheses and bolded, italicized, and underlined

hope this helps

el numero que exede a n en 18​

Answers

Answer:

Pero que numero es n?

Step-by-step explanation:

Solve each problem and answer the question.plz help me

Answers

the first one???????????

not sure about this one

Answers

Answer:

last one

Step-by-step explanation:

Please I beg you help me.

If a baseball is projected upward from ground level with an initial velocity of 32 feet per second, then its height is a function of time, given by s = - 1612 +32t.

What is the maximum height reached by the ball?

Answers

The maximum height should be approximately 50.37 feet

what is the equivalent expression of 12d4

Answers

Answer:

2 same as question

Step-by-step explanation:

What is lifetime cap?

Answers

Answer:

What is a life cap?

A life cap, or lifetime cap or rate cap, is the maximum amount that a borrower’s interest rate can increase over the term of the loan. The life cap represents either a total absolute rate or percentage change in the rate.

Deeper definition

Adjustable-rate mortgages (ARMs) usually come with a series of caps that limit how much interest can be charged to the borrower after the fixed-interest period ends. The initial adjustment cap limits the change in interest for the first time rates are adjusted, and there are subsequent, or periodic, interest caps to cover upcoming changes in the interest rate.

Life caps limit how much interest the lender can charge over the term of the entire term. Usually expressed as an absolute percentage, or a change in percentage, life caps may differ between lenders but should be spelled out in the loan agreement.

Lifetime caps represent the highest rate at which interest can be charged. However, ARM interest rates can actually decrease after the fixed-interest period. Additionally, lifetime caps don’t affect other costslike transaction and late fees, which are factored along with the interest rate into the annual percentage rate (APR).

Wondering how a life cap will affect your payments? Use Bankrate’s mortgage calculator to find out how much you’ll owe.

Life cap example

James acquired a loan from a bank with 7 percent as the initial interest rate. The bank allows adjustments every three months, but has a life cap of 3 percent. Therefore, the maximum interest rate Jack will ever have to pay is 10 percent.

There you go

Answer: A) A limit on how much an ARM's interest rate can change over the

life of a mortgage.

Step-by-step explanation: took the quiz.

What is the following product

Answers

Answer:

6 (square root )432 (option 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

⁶√(432)

(x² + 6x − 16)(x − 2) = ax³ + bx² + cx + d

What is the value of c/b?

Select one:
A. 8
B. 7
C. -7
D. -8

Answers

B is the right answer to this question

What is the value of x?
26°
x =
= [?]

Answers

Answer:

154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

DeAndre
drinks 15 ounces of water, which is 3/5
of his bottle.

Write an equation to represent the total amount of water
in DeAndre's bottle? Some one please help!

Answers

Answer:

25 ounces of water

pls help me fastttt

Answers

Answer:

its D

Step-by-step explanation:

mark the brainiest

you want to insert a fill color into a worksheet. what is the first step . Plzz help I’m literally stuck

Answers

you forgot to attach an image!! please repost.
can you make another one showing us the pic pls?

Graph a line with a slope of 3/4 that contains the point (2,-3).​

Answers

Answer:

Start at the y-intercept (0, -4.5) and then use rise over run (Up 3 and right 4)

Step-by-step explanation:

y - y1 = m(x - x1)

y + 3 = 3/4(x - 2)

y + 3 = 3/4x - 3/2

y = 3/4x - 9/2

Misty owes the bank $32. She gets $45 for her birthday and deposits it into her account. How much does she
now have in the bank?

Answers

Answer:

she has 13 dollars left

Step-by-step explanation:

simple math of subtraction. 45 - 32 = 13

13 goes into her account after paying her debt to the bank

Question 2: Calculate the surface area of this net (remember to include your unit of
measure which is always squared with area)
3"
3"
3"
3"
3"
3"
3"
Answer Section:

Answers

Answer:

2,187

Step-by-step explanation:

If you multiply the 3s together it is 9 to the power of 3 x3 so it would be 729x3

This equals 2,187

The measure of two angles of a triangle are 45 and 50. What is the measure of the third angle?
A) 45
B) 75
C) 85
D) 95

Answers

Answer:

C) 85

Step-by-step explanation:

45+50=95

180-95=85

which statements are true select each correct answer​

Answers

The first and the second one are true statements.

Please help! Will give Brainliest!

Answers

C is the answer so yeha

PLS ANSWER FAST 15POINTS ❗️❗️❗️❗️❗️❗️

Answers

Answer:

300 cubic meters

Step-by-step explanation:

Volume of a Rectangular pyramid:

V = (lwh)/3

Given:

l = 10

w = 10

h = 9

Work:

V = (lwh)/3

V = (10 * 10 * 9)/3

V = 900/3

V = 300

Answer:

300m^3

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

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