Solve, by completing the square, x^2=22x-5, leave your answer in surd form

Answers

Answer 1

Answer:

a) The complete square form =  ( x-11)² = 116

b)   x = 11 + 2√29

Step-by-step explanation:

Step(i):-

Given equation   x² = 22x -5

              ⇒ x² - 22x + 5 =0

             ⇒  x² - 2× 11 x + (11)² -(11)² + 5=0

            ⇒ ( x- 11)² -121 +5 =0

           ⇒  ( x-11)² = 116

The complete square form =  ( x-11)² = 116

Step(ii):-

           ⇒  (x-11) = √116 = √29 ×√4

           ⇒  x-11 = 2√29

          ⇒   x = 11 + 2√29


Related Questions

Yooo I rly need help with this plzzzzz

Answers

Answer:

The second option

Step-by-step explanation:

I hope this helps

help!! will give brainliest if right

Answers

Answer:

1/4x function A vs 0.75x function B lastly 0.25 is less than 0.75 Give brainlist

PLEASE HURRY~ DUE SOON

You ride your bicycle along the outer edge of the park. Then you take a shortcut back to where you started. Find the length of the shortcut. Round your answer to the nearest tenth.

Answers:

100m

60m

116.6m

160m

Answers

Answer:

116.6

Step-by-step explanation:

Answer:

116.6

Step-by-step explanation:

To solve this equation you would need to use the pythagorean theorem. The pythagorean theorem is [tex]a^{2} +b^{2}= c^{2}[/tex] where a and b are lengths of the triangle and c is the hypotenuse (the longest side of a triangle) in this case, the short cut.

First, you would substitute values into the equation:

[tex]100^{2}+60^{2}= c^{2}[/tex]

Then, you would multiply out the squares:

[tex]10,000+3600=c^2[/tex]

Add the numbers together:

[tex]13600=c^2[/tex]

Take the square root of both sides to get the answer:

[tex]c=116.619037897[/tex]

Then round to the nearest tenth to get the answer: c=116.6

Our principal has to travel from one city to the next city at an average speed of 50km/hr. Compute for the distance between 2 cities

Answers

Answer:

The answer is false or "impossible"

Step-by-step explanation:

Heres why I say this:

If the “average speed” in one hour make the car travel 50km, it means the speed could not be constant. So, it could be 90km/h during the first 30 minutes and 10km/h during the second 30 minutes. If this is the case, for example, in the next 12 minutes after the first hour, the car could be traveled 18km at 90km/h, completing 50 + 18 = 68km. The tricky word “average” makes it impossible to answer. Good try, but no cigar.

HELP! Need to finish this or my dad will go nuts.

Answers

Answer:

The answer is 6.

Step-by-step explanation:

So basically, since we know that 4 x 4 is 16, then all we have to do is multiply 1 1/2 by 4. 1 1/2 times 4 equals 6.

Answer:

6 pages

Step-by-step explanation:

all you have to do is multiply 1 1/2 by 4 if 4x4 =16

6. Mary flips the coin and then she spins the spinner. What is the
probability that the coin will not land on tails, and the spinner will not land
on 3? Spinner (1, 2, 3, 4); Coin (H, T) *
A 1/8
B 1/4
C 3/8
D 1/2

Answers

Answer: For the coin, there are 2 possibilities which are Heads and Tails so the possibility is 1/2 and for the spinner it will be 1/4 because there are 4 possibilities.

I have a curved surface.
I have no flat surfaces

Answers

Answer:

A spehere

Step-by-step explanation:

A sphere only made up of a curved surface

on the other hand, a cone, cylinder, etc, have a flat surface. for a cone it's the floor. for a cylinder it's the ceiling and the floor of the object

What is the area of this circle?

HELP

Answers

Answer:

16 cm.

Step-by-step explanation:

8x2=16.

the diameter is 8 cm so you divide it to get the radius which is 4. So A= 3.14•4(2) equals 50.27


The graph of y = f(x) is shown.
a) Find f(0)
4-
3.
b) Give the roots of f(x) = 0

Answers

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

we have this at x = -2 and x = -1

These are what represents the roots of the equation

SOMEONE PLEASEEEEEEEE!!!!!!11


Robert's new hybrid car has a gas tank that holds 12 gallons of gas. When the tank is full, they can drive 420 miles. Assume that their car uses gas at a steady rate.



a. What is the unit rate:




b. Write the equation:




c. Use your equation to find out how many gallons of gas Robert will need to drive 287 miles. 287miles =
gallons of gas

Answers

Answer:

sorry i only know the answer of c

it's 8.2 gallons

Step-by-step explanation:

12 gallons = 420 miles

12 gallons = 420 miles? gallons =287 miles

420 miles ÷ 12 gallons = 35miles/gallon

420 miles ÷ 12 gallons = 35miles/gallon287 miles ÷ 35 miles/gallon = 8.2 gallons

Answer:

Step-by-step explanation:

Unit rate = (420 miles)/(12 gallons) = (420/12 miles)/gallon = (35 miles)/gallon

:::::

Fuel consumption = (number of miles) × (1 gallon)/(35 miles)

:::::

287 miles × (1 gallon)/(35 miles) = 8.2 gallons

PLS HELP I WILL GIVE BRIANLY

A box has a certain number of blue,white,red and yellow marbles. 2/5 of the marbles are blue. The number of white, red and yellow marbles in the box are equal. Which of the following could be the number of marbles in the box?​

Answers

What are the options?

what is the question again?

Select the correct answer.
Which expression is equivalent to x + y+ x + y +30+5)?
A. 2x + 5y+ 5
B. 2x + y + 30
C. 2x + 5y + 15
D.2x + 3y + 10

Answers

Answer:

Step-by-step explanation:

Like terms have same variable with same exponent. Combine the like terms.

x + x = 2x  {Just add the coefficient}

x + y + x +y + 30 + 5 = x +x  +  y + y   + 30 + 5

                                 = 2x + 2y + 35

Investors buy a studio apartment for $200,000. Of this amount, they have a down payment of $20,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $10,000 down payment be?

Their down payment is ?% of the purchase price. ​

Answers

Answer:

30% is that the answer I'm sure

0. The temperature drops 2 degrees per hour for 3 hours. Which of the
following expressions does NOT describe this change in temperature?
a. -2 + (-2) + (-2)
b. 2(3)
d. -2 - (2) - (2)
c. -2(3)​

Answers

Answer a,b, and d

Explanation: c is the only correct expression while the rest aren’t

Answer:

B. 2(3)

Step-by-step explanation:

The other 3 all shows decreasing of 2 three times. 2(3) would be increasing.

What equation represents the table

Answers

X + 4 = Y
...........
x + 4 = y that should be your answer

what is the quotient of 66.5 and 100,000​

Answers

Answer:

166.5

Step-by-step explanation:

Which of the following situations can be represented by
C = 10 + 0.44n?
Your answer:
A. The total cost at the grocery store for a cake that cost $10 and n bananas that cost $0.44 each.
B. The total cost of 10 soft drinks that cost $0.44 each.
C. The height of a plant after n days that was 10 centimeters tall and it grew 4.4 milimeters a day.
D. Not here

Answers

Answer:

A and C

Step-by-step explanation:

Is Figure A congruent to Figure B? Explain.








No, because the orientation of Figure B is not the same as Figure A.


Yes, because Figure B can be obtained from Figure A by a series of translations.


Yes, because Figure B can be obtained from Figure A by a rotation and a translation.


No, because there is no sequence of translations, rotations, and reflections by which Figure B can be obtained from Figure A.

Answers

Answer:

I NEED AN ANSWER IM DOING THIS

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Im just guessing i have no idea

Use Pythagorean Theorem to find a missing leg of a right triangle:



Will give b !

Answers

Answer:

Step-by-step explanation:

h^2=x^2+y^2

26^2=24^2+a^2

a^2=26^2-24^2

a^2=100

a=10

Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.

A.) 2.50(y) = x
B.)2.50 + y =x
C.) 2.50(x) = y
D.) 2.50 + x = y

Answers

Answer:

C

Step-by-step explanation:

Please answer the question on the attachment <3

Answers

Answer:

x = 5.8 ( rounded to nearest tenth)

Answer:

5.8 foot

Step-by-step explanation:

With reference angle 71

perpendicular (p)= x

base(b) = 2

Now

tan 71 = p/b

2.9 = x / 2

x = 5.8 foot

please help i have to turn in in 8 mins....thanks :)

Answers

6√3

Step-by-step explanation:

6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3

Answer:

6√3

Step-by-step explanation:

using the pythagorean theorem you can plug in the numbers to get √(12^2 - 6^2) = √(144-36) = √108 = 6√3.

Car Survey In a survey of 2,000 people who owned a certain type of car, 1,400 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

70%

Step-by-step explanation:

1. 1400÷2000 = 0.07

2. move the decimal over 2 spaces for a percentage 0.07 --> 70.0

3. 70.0 = 70%

Evaluate the expression for the given value of the variable.

3 × (c2 − 8) for c = 3

Answers

Answer:

I am assuming c2, is c^2.

3 × (c2 − 8)

=3 ×(3^2-8)

=27-8

=19

If c2 is c*2

Then,

3 × (c2 − 8)

=3×(6-8)

=18-24

=(-6)

In what case does 8 + 8 = 4?
The correct answer, = 20 points and brainliest.
Please answer if you know the answer
Good luck!!!

Answers

Step-by-step explanation:

8:00 + 8:00 = 16:00 = 4:00PM

help me please!!! 23 brainly's

Answers

Step-by-step explanation:

We can create the following equation for Jada

[tex]28x + 20[/tex]

And the following for Mai

[tex]16x + 44[/tex]

Solve for in the diagram below.
110°
K
(8x + 30)
=

Answers

Answer:

8x+30=110

8x=110-30

8x=80

x=80/8

x= 10

Step-by-step explanation:

Could anyone mind helping I have until 9

Answers

Vertex: (1,-9)
Max or Min: Min
Axis of symmetry would go through 1 on the X-axis.
Number of zeros: 2
Roots: (-2,0) and (4,0)
Domain: All real numbers
Range: Y is greater than or equal to -8

negitive 17plus n over 5 =33 what is n

Answers

Answer:

250

Step-by-step explanation:

-17+n/5=33

n/5=33-(-17)

n/5=33+17

n/5=50

n=50*5

n=250

n=182

Step by Step Explanation:

The equation we would start out with is:

[tex] \frac{ - 17 + n}{5} = 33[/tex]

From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.

Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.

Katy inherited a savings account that was started by her grandfather 20 years ago. His investment can be modeled by the function
A(t) = 10,000(1.012)^t+ 20, where A(t) represents the value of the account, in dollars, t years after the inheritance. Which function is
equivalent to A(t)?
A)
A(t) = 10,000(1.012)^20
B)
A(t) = 10,000[(1.012)^t]^20
C)
A(t) = 10,000(1.012)^t (1.012)^20
D)
A(t) = 10,000[(1.012)^t + (1.012)^20]

Answers

Is c because it makes sense to me
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