(x - 6)^2 - 5 = 0 Enter the solutions from least to greatest.

Answers

Answer 1

Answer:

x=6- sqrt(5)

x=6+ sqrt(5)

Step-by-step explanation:

(x - 6)^2 - 5 = 0

Add 5 to each side

(x - 6)^2 =5

Take the square root of each side

sqrt((x - 6)^2)  =± sqrt(5)

x-6 =  ± sqrt(5)

Add 6 to each side

x-6+6=6± sqrt(5)

x=6± sqrt(5)

from least to greatest

x=6- sqrt(5)

x=6+ sqrt(5)

Answer 2

Answer:

[tex]\Large \boxed{ x=6 -\sqrt{5} \ \ \mathrm{or} \ \ x=6 + \sqrt{5}}[/tex]

Step-by-step explanation:

[tex](x - 6)^2 - 5 = 0[/tex]

Adding 5 to both sides of the equation.

[tex](x - 6)^2 =5[/tex]

Taking the square root of both sides of the equation.

[tex]x-6 =\pm \sqrt{5}[/tex]

Adding 6 to both sides of the equation.

[tex]x=6 \pm \sqrt{5}[/tex]


Related Questions

A school bus uses 34 of a tank of gas to drive back and forth to school in a week with 5 school days. How much gas does the bus use to drive back and forth to school in a week with 4 school days? Write your answer in simplest form. The bus uses of a tank.

Answers

Answer:

27.2 of a tank

Step-by-step explanation:

[tex]\frac{34}{5}[/tex] = [tex]\frac{x}{4}[/tex]

136 = 5x

x = 27.2

If f(x) = x/2 -2 and g(x) = 2x^2 + x - 3, find (f+g) (x) A. 2x^2+3/2x +1 B. 2x^2+3/2x-5 C. x^2 - 6 D. 2X^2- x/2 + 1

Answers

Answer:

              [tex]\bold{(f+g)(x)=2x^2+\frac32x-5}[/tex]

Step-by-step explanation:

[tex]f(x) =\frac x2-2\quad and\quad g(x) = 2x^2 + x - 3\\\\(f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=\frac12x-2+2x^2+x-3\\\\(f+g)(x)=2x^2+\frac32x-5[/tex]

What is the inequality 4/5__1/2

Answers

Answer:

Step-by-step explanation:

Notice that:

● 1/2 = 0.5

● 4/5 = 0.8

0.8 is greater than 0.5.

So:

● 0.8 > 0.5

● 4/5 > 1/2

Answer:

4/5 > 1/2.

Step-by-step explanation:

4/5 is greater than 1/2.

What is the range of the relation shown in the graph?

Answers

Answer:

-2

Step-by-step explanation:

-6x(-3x - 10) Distributive property! I’m so bad at it

Answers

the answer is 18x^2+60x

Evaluate the expression (-3)(4)(-6)

Answers

- 3 x 4 x - 6 = 72. That is your answer

PLSSS HELP ASAP & plsss SHOW WORK PLS AND TYY
if TV=14x-8, find TU

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]tu = tv - uv \\ tu = (14x - 8) - 5 \\ tu = 14x - 13 \: - - - (1) \\ \\ tu = 9x + 2 \: - - - (2) \\ \\ sub \: (1) \: into \: (2) \\ \\ 14x - 13 = 9x + 2 \\ 14x - 9x = 2 + 13 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]

true or false 1+6=5+2 true or false ? ;-;

Answers

Answer: True

Step-by-step explanation: both equal 7

True
1 + 6 = 7
5 + 2 = 7

it has to be 20 characters long so i’m typing here

What is an opposite reciprocal?

Answers

Answer:

Opposite reciprocals are two numbers that are flipped fractions of eachother. For example, the reciprocal of 2/3 is 3/2.

Answer:

An Opposite reciprocal is like a number flipped

Step-by-step explanation:

4 = 1/4

2/3 = 3/2

The total distance in centimeters that a toy robot moves varies directly with the time in seconds the toy robot moves a total distance of 63 cm. In 9 seconds what is the time in seconds that the toy robot moves when the total distance is 49 cm

Answers

Answer:

Hey there!

The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.

If it goes 49 cm, it will take 7 seconds.

Let me know if this helps :)

16) 65m
What is the prime factorization of 65m?

Answers

Answer:

Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.

Answer:

13*5*m

Step-by-step explanation:

                                                      65m

                                    13     5                           m

3 coins are tossed simultaneously. what is the probability of getting 3 heads or 3 tails?

Answers

Answer:

3/6

Step-by-step explanation:

A coin has 2 sides

3 coins = 6 sides

3 heads 3 tails

3 chances out of 6 to get heads

3 chances out of 6 to get tails

3/6 for both

if EF bisects CD, CG =5x-1, GD = 7x-13, EF = 6x-4, and GF =13, find EG

Answers

Greetings from Brasil....

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

EG = 19

(see attachment)

A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment EG is 19 unit.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that EF bisects CD at point G, therefore, the line segment CD will be divided into two equal parts, CG and GD. Therefore, we can write,

CG = GD

5x - 1 = 7x - 13

-1 + 13 = 7x - 5x

12 = 2x

x = 12/2

x = 6

Further, the length of segment EG will be,

EG = EF - GF

     = 6x - 4 - (13)

     = 6x - 4 - 13

     = 6x - 17

     = 6(6) - 17

     = 36 - 17

     = 19

Hence, the length of the line segment EG is 19 unit.

Learn more about Line here:

https://brainly.com/question/21511618

#SPJ2

Which side of the polygon is exactly 6 units long?​

Answers

the answer is ab cuz it’s measured in two units if that makes sense

AB is the answer. :)

HElp me please!!! IVE HAD TROUBLE W THIS SINCE 11

Answers

Answer:

Nocomplanar? Right because they’re not all in the same place?

Step-by-step explanation:

Solve 2x + 3y = 11 and 2x - 4y = -24 and hence find the value of 'm' for which y=mx+3.

Answers

Answer:

m=-1

Step-by-step explanation:

2x+3y=11............. (eqn 1)

2x-4y=-24...........(eqn 2)

Subtract eqn 1 from eqn 2

7y=35

y=5

Substitute for y in eqn 1

2x+3(5)=11

2x+15=11

2x=11-15

2x=-4

x=-2

y=mx+3

5=-2m+3

5-3=-2m

2=-2m

m=-1

Answer:Here,

2x+3y=11..........(i)2x-4y= -24......... (ii)

Subtracting (ii) from (i),we get

2x+3y=11

- 2x+4y=24

___________

7y =35

y=5

Substituting y = 5 in (i) we get

2x+3×5=11

or,2x +15 =11

or,2x = 11- 15

or,x= -2

Now,

We know,y=mx+c

5=m ×(-2) +3

or,2=m×(-2)

or,2/-2 =m

m= -1

Which expression is equivalent to -36 - 8?

Answers

Answer:

-44

Step-by-step explanation:

What’s the constant 15-8y?

Answers

Answer:

15

Step-by-step explanation:

Which is the endpoint of a ray? A. Point R B. Point S C. Point T D.Point U

Answers

Answer:

point s

Step-by-step explanation:

they all connect there

Answer:

the answer is B. Point S

Step-by-step explanation:

hope this helped, please mark brainliest :,)

The base of a triangle is 2 feet less than its height. Its area is 12 square feet. Find its base and height.

Answers

Answer:

Height of the triangle is 6 feet and base of the triangle is 4 feet.

Step-by-step explanation:

Area of a triangle is given by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Let the height of triangle = h feet

Since, base of the triangle is 2 feet less than its height then base of the triangle = (h - 2) feet

Area = [tex]\frac{1}{2}h(h-2)[/tex]

[tex]12=\frac{1}{2}h(h-2)[/tex]

h² - 2h - 24 = 0

h² - 6h + 4h - 24 = 0

h(h - 6) + 4(h - 6) = 0

(h + 4)(h - 6) = 0

h = -4, 6 feet

Since height of the triangle can not be negative, therefore, height of the triangle = 6 feet.

And base of the triangle = (h - 2) = 6 - 2

                                         = 4 feet

Height of the triangle is 6 feet and base of the triangle is 4 feet.

I’m being timed!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=mx+b

Step-by-step explanation:

y=mx+b

If you know the slope m , and y -intercept (0,b) of a line (the point where the line crosses the y -axis), you can write the equation of the line in slope-intercept form .

Answer:

y=mx+b

Step-by-step explanation:

m and b can be any two real numbers.

y=mx+b

No real work, one of those linear equations that should be memorized.

In the classification of living organisms, which of the following is an example of a domain? Animalia Archaebateria Eubacteria Eukarya

PLEASE HELP

Answers

Answer:

I am 90% sure it is D

Step-by-step explanation:

Does this picture represent the real number system correctly? True False

Answers

Answer:

  No

Step-by-step explanation:

There are no real numbers that are both rational and irrational, and there are no real numbers that are neither rational nor irrational. The diagram is misleading.

___

A question is not true or false. A statement is true or false. If the statement is, "this picture represents real numbers correctly," then it is FALSE.

No it does not at all

i need help #3 pleasee

Answers

x=4

subtract 8 instead of 2

M is the midpoint of AB, AM=2x+3, and AB= 8x-10. Find MB

Answers

I’m not sure if this is correct but I think the answer is 7.4 correct me if I’m wrong.

Explanation:

In order to find this answer I simply tried getting x by it self

8x-10 = 2x+3

then subtracted 2 from both sides (F.Y.I choose to start from the the left since 2 is lower then 8) the 2x= -2x cancel then if subtracted 8x from -2x you should get 6x
From there it should be
6x-10=3

Add 10 from both sides

Then your left with 6x=13

Now for this answer I obviously got a decimal and I’m not sure how I would go about rounding so I just rounded it to the nearest tenth.

After rounding 2.166666666666667

I was left with 2.2

From there I plugged it into the the AM formula

in the question M is the midpoint of AB so AM is congruent to MB AM=MB

AM=2x+3 MB=?

if you plug 2.2 in replace of x

2(2.2)+3 it should equal 7.4.

I hope I’m right, truly sorry if I’m not! I’m a freshie on the job! Good luck wishes!

I don’t really get this.

Answers

Answer:

The answer is H. II and III only.

Step-by-step explanation:

A simple way to tell if a relation is a function is by taking a look at the X value, which is on the left. If the X value repeats again  (ex: (0,1) (0,2) or (5,3 (5,7)) it is not a function. However, the Y value is allowed to repeat.  

Find x when y=6 in the literal equation 5x+4y=39

A. 12.6
B. 15
C. 2.25
D. 3​

Answers

Answer:

y=6

then,

5x+4y=39---> plug y in to the function

5x+4(6)=39

5x+ 24=39

5x= 39-24

5x= 15

x= 15/5

x= 3

So, the value of x when y=6 in that function is 3 (D)

What is the degree for this

Answers

Answer:

4

Step-by-step explanation:

Help idk the answer and it’s due tomorrow

Answers

Answer:

C. 14%

Step-by-step explanation:

We know that Dallas's wage increased from $9 to $10.25.

Let's say the percent increase is x. Then we write the expression:

9 + x * 9 = 10.25

Divide by 9 from both sides:

1 + x = 10.25 / 9 ≈ 1.14

Subtract 1 from both sides:

x = 1.14 - 1 = 0.14

Since x is a percent, that means x = k/100, where k is an integer. So we have:

x = k/100 = 0.14

Multiply both sides by 100:

k = 0.14 * 100 = 14%

The answer is thus C.

~ an aesthetics lover

Answer:

C.14%

Step-by-step explanation:

[tex]Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%[/tex]

Juanita and Lydia are each making lemonade. Juanita's recipe calls for 4 parts lemon juice to 2 parts sugar syrup. Lydia's recipe calls for 5 pets lemon juice to 3 parts sugar syrup. Which recipe has a stronger lemon flavor? WILL GIVE BRAINLIEST!!!

Answers

Answer:
Juanita’s recipe will have a stronger lemon flavor.

Explanation:
Juanita has a ratio of 4:2,where as Lydia has a ratio of 5:3. If you divide 4 by 2 and 5 by 3, Juanita will have a value of 2, and Lydia will have a value of 1.67.
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