11. Solve by completing the square.
- 10x = 5x^2-1

Answers

Answer 1

Answer:

x = (√6/√5) - 1

Step-by-step explanation:

- 10 x = 5x^2 -1

can be written as

5x² + 10x - 1 = 0

completing the square method :

for quadratic equation of the format ax² + bx + c = 0 ,

step 1, divide equation by a

therefore. dividing the equation by 5

=> x² + 2x - (1/5) = 0

=> x² + 2x = 1/5

c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)

b/2 = 1

=> x² + 2x +1 = 6/5

=> (x + 1)² = 6/5

=> x = (√6/√5) - 1


Related Questions

ERROR ANALYSIS In Exercises 31 describe and
correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61

Answers

The student is doing great so far. However, they forgot to take the square root of that result to get the final answer of [tex]\sqrt{61}[/tex]

The exact distance is [tex]\sqrt{61}[/tex] which approximates to roughly 7.81024967590666

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

This is what the steps should look like

[tex]AB = \sqrt{ (6-1)^2 + (2-(-4))^2}\\\\AB = \sqrt{ (5)^2 + (6)^2}\\\\AB = \sqrt{ 25 + 36}\\\\AB = \sqrt{ 61} \ \ \text{ Exact distance}\\\\AB \approx 7.81024967590666 \ \ \text{ Approximate distance}\\\\[/tex]

Write The slope intercept Form of the equation of a line with a slope of -4 that passes through the point (4,4)

Answers

Answer: y = 4x - 12

Step-by-step explanation:

What is the measure of the smallest angle in the figure? The figure is not drawn to scale. ​

Answers

Answer:

(4x-3)°=37

Step-by-step explanation:

solve for x

6x-7+90+4x-3=180

10x=180-80

10x= 100

x=10°

from the equations;

4x-3= 4(10)-3=37° and

6x-7= 6(10)-7=53

therefore the smallest angle =(4x-3) =37

what is the domain of the function

Answers

Answer:

the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Step-by-step explanation:

didn't know if you needed the definition or not :)

if it is 9:39 what time would it be a hour and a half later

Answers

Answer:

It would be 11:09

Answer:

11:09

Step-by-step explanation:

30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09

What is the equation of the graph shown?​

Answers

Greetings from Brasil...

As we have a line, the function will be given by the expression:

F(X) = AX + B

where

A = ΔY/ΔX

B = where the line intersects the Y axis

Looking at the graph we have already concluded that

B = - 3

A = ΔY/ΔX

A = (5 - 3)/(4 - 3)     see attached picture

A = 2

So,

F(X) = AX + B

F(X) = 2X - 3

Please please help its urgent and i dont understand!!

Answers

Answer:

m<STW

Step-by-step explanation:

The m<4 is the vertex which is also T.

You can answer it with m<T but since there is lots of there, just to be more specific m<STW  would be the answer.

The vertex's letter (the dot that is always in the middle of the angle where the ends of line connects) is always in the middle. You can switch the S or W if you like. it doesnt matter.

X-27=-(27-x) It’s for math 9th grade

Answers

X - 27 = -27 + x

0

Answer

Answer:

x - 27 = -(27 - x)

x - 27 = -27 + x

x = x

-27 is moved to the right side making it +27 and cancelling out with the -27.

If m = 2 and b =-6, what is the correct slope intercept equation?

Answers

Answer:

y=3x+6

Step-by-step explanation:

Answer

Y=3x+6

Explanation:

(m • n) • p=m • (n • p)
what property is this

Answers

Answer:

Step-by-step explanation:

The area of a square poster is 92 square inches. What is the length of one side of the poster to the nearest tenth.

Answers

Answer:

23 square inches

Step-by-step explanation:

92/4

The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h

Answers

h=A 6/b or 6 divided b = h

Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.

Answers

Answer:

$61.99

Step-by-step explanation:

To find the total, we need to add.

Let's start with the ticket and the soda.

54+2=56

0.85+0.15=1

56+1=57

Next, add the price of the hot dog.

4.99 rounds to 5, so 57+5=62

62-0.01=61.99 (here we subtracted the one cent we originally rounded up)

$61.99

Hope this helps :-)

Answer:

61.99

Step-by-step explanation:

Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 +

Answers

Answer: A and B

Step-by-step explanation:

I just took the assignment.

Answer: A and B

A.) Leena consumed 1,500 calories at dinner.

B.) The equation 2/3 (x + 400 + 350) = x can be used to model the situation.

Step-by-step explanation: i hope this helps :)

PLEASE HELP ME
Factor the common factor out of each expression
2) 7b + 28b

Answers

7b(1 + 4)

The 7b is shared between the two numbers, so factor it out

A seventh-grade class 13 boys and 17 girls. Ms.King randomly choose one student to be the line leader. Which is the probability that a girl will be the line leader?

Answers

Answer: i hope it helps

In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If ... ... If a student is chosen at random, what is the probability of choosing a girl or an A student? ... I thought it would be B because we need to minus 3/30 probably that's both girl and A student.

Step-by-step explanation:

13 boys and 17 girls

Total amount of students: 30

17 divided by 30 is 56 which means that the probability is 56%

Hi help me please I don't know how to do it "using the formula evaluate (87)^2" ​

Answers

Answer:

7,569

Step-by-step explanation:

[tex](87)^{2} \\ = {(90 - 3)}^{2} \\ = {90}^{2} - 2 \times 90 \times 3 + {3}^{2} \\ = 8100 - 540 + 9 \\ = 8100 + 9 - 540 \\ = 8109 - 540 \\ = 7,569[/tex]

(please help) the question is in the comments because idk whats going on with brainly-

Answers

I need help too I’m in 9th grade math and I’m having an exam right now pls help it’s multi poll questions

Solve for x.

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

x = [?]​

Answers

Answer:

x= 11

Step-by-step explanation:

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

Multiply both sides by 2:

2(3x -5)= 12 +4x

Expand:

2(3x) +2(-5)= 12 +4x

6x -10= 12 +4x

Bring all x terms to 1 side, constant to the other:

6x -4x= 10 +12

2x= 22

Divide by 2 on both sides:

x= 22 ÷2

x= 11

6x-10=12+4x
6x-4x=12+10
2x=22
X=11

An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute? Remember, there are 60 minutes in an hour.

Answers

Answer:

10 miles per hour I'm not sure tho just trying to help :)

Step-by-step explanation:

try to divide

Answer:

10

Step-by-step explanation:

600mph= 10miles/min

NEED HELP ASAP!!! Which of the following correctly uses absolute value to show the distance between −70 and 15? Question 6 options: 1) |−70 − 15| = |−85| = −85 units 2) |−70 + 15| = |−55| = 55 units 3) |−70 − 15| = |−85| = 85 units 4) |−70 + 15| = |−55| = −55 units

Answers

Answer:

3) |−70 − 15| = |−85| = 85 units

Step-by-step explanation:

Absolute value ignores negative values so the equation when finding the distance between −70 and 15 is 70 + 15 which equals 85.

HELP ASAPPP PLEASE HELPPPPPPP

Answers

Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

Please Mark Brainliest!

2)
Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power

Answers

Answer:

d. 4^9

Step-by-step explanation:

Question:

Which expression is equivalent to 4^9/4^0?

a. 4^8

b. 4^0

c. 4^7

d. 4^9

Solution:

By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.

Any number divided by 1 equals the number itself.

For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.

4^0 = 1

Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.

4^9/4^0 = 4^9/1 = 4^9

Which polynomial functions are written in
standard form? Select all that apply.
f(x) = 8-25
f(x) = -3.25 + 5x – 2
f(x) = 2x5 + 2x + x3
f(x) = x3 - 8x2

Answers

Answer:

B) f(x) = 3x^2+5x-2 and D) f(x)=x^3 -8x^2

Step-by-step explanation:

the degree of the polynomial function below is 5 and the leading coefficient of this polynomial function is -3 :)

Answer:

Which polynomial functions are written in standard form? Select all that apply.

B. f(x) = –3x5 + 5x – 2

D. f(x) = x3 – 8x2

Step-by-step explanation:

The degree of the polynomial function below is  5.

 f(x) = –3x5 +4x – 2

The leading coefficient of this polynomial function is  

✔ –3

5+3(-x-9)+ 4x – 2(5x-1)

Answers

Answer:

=20 -9x

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

=5 -3x -27 + 4x – 10x + 2

=5 + 2 -27 -3x + 4x – 10x

=20 -9x

Given: KM bisects JKL
Prove: m MKL= 1/2m JKL

please explain

Answers

Answer:

Step-by-step explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]

                    Statements                                      Reasons

1). KM bisects ∠JKL                                 1). Given

2). m∠JKM = m∠MKL                              2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL              3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL              4). Substitution property of equality

5). 2m∠MKL = m∠JKL                            5). Distributive property

6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]                               6). Division property of equality

PLS HELP, a group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket​

Answers

Answer:

We need more information about C.

5w +3w=40 simplify your answer as much as possible

Answers

Answer:

w=5

Step-by-step explanation:

8w=40

/8    /8

w=5

5w +3w= 40
8w= 40
40/8= 5

4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️

Answers

Answer:

300 miles in 2.5 hours

divide 300 by 2.5

120 miles per hour

120 x 9 = 1080

Step-by-step explanation:

Find the approximate side length of a square game board with an area of 161 in?

Answers

Answer: 12.69 in

Explanation:
Square root of 161 is around 12.69
That means each side of the square is about 12.69 bc l x w = a
and square root of a = side length of square
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