complete the square to solve the equation below (check all that apply)

Complete The Square To Solve The Equation Below (check All That Apply)

Answers

Answer 1

Answer:

A and D

Step-by-step explanation:

We have to create a perfect square. To make x^2+bx+c into a perfect square, c has to be (b/2)^2. In this case, b is -10. so, c has to be (-10/2)^2, which is 25. To make the left hand side 25, we would have to add 30 to both sides.

This leads to a new equation:

x^2 - 10x + 25 = 9+30

x^2 - 10x + 25 = 39

Now, we can change the left hand side to a perfect square.

(x-5)^2 = 39. (the -5 is b/2)

Then we square root both sides;

x-5 = +/- sqrt39. (When you square root an expression, remember that you need to include both the positive AND negative)

x = 5-sqrt39 or 5+sqrt39


Related Questions

U.U AYUDa porfis porfis t.t

Answers

Answer: a+b = 12

Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto

a+2 = 2(3)

a=4

10 = 2(b-3)

b=8

Luego a+b = 12

HELP!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A. Obtuse

Step-by-step explanation:

Supplementary Angles: either of two angles whose sum is 180°

Adjacent: have a common side, a common vertex, and don't overlap

A. - 8/5

B. 5/8

C. - 5/8

D. 8/5​

Answers

Answer:

5/8

Step-by-step explanation:

To find the slope, use the formula

m = (y2-y1)/(x2-x1)

   = (2 - -3)/(6 - -2)

   = (2+3)/(6+2)

   = 5/8

Answer:

B

Step-by-step explanation:

Please help! Correct answer only please! I need to finish this assignment by today.

You spin the spinner once.

What is P(factor of 6)?

Write your answer as a percentage.


___%

Answers

Answer:

100%

Step-by-step explanation:

The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!

Answer:

100%

Step-by-step explanation:

I just took the test on edgenity

Write the following inequalities in slope interact form -12x-2y> -42

Answers

Answer:

y < -6x+21

Step-by-step explanation:

-12x-2y> -42

Add 12 x to each side

-12x+12x-2y>12x -42

-2y > 12x-42

Divide by -2 remembering to flip the inequality

-2y/-2 < 12x/-2 -42/-2

y < -6x+21

This is in slope intercept form

the slope intercept form of the equation of the line that passes through point (-3,8) is y=-2/3x+6. what is he point-slope form of the equation for this line

Answers

Answer:

2x + 3y = 18

Step-by-step explanation:

y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions).  This result simplifies to 3y = - 2x + 18, which can be re-ordered as

2x + 3y = 18 (equation in standard form)

Why does no one answer my questions in Brainly? If you're good at math, please look at my recent questions and answer them if you know it. Now, below is one of the questions that I am struggling with. Please help!

Answers

Answer:

1st one: 7920   second: 792

Step-by-step explanation:

First way: you can use a calculator and plug in the values

Second way: you can use the formula for combination and permutation.

Permutation: 11!/ (11-4)!

Combination:12!/(12-5)!*5!

NOTE THAT: 5!= 5*4*3*2*1

               

Use the quadratic formula to find the solution to the quadratic equation below pt2

Answers

Answer:

x=3/2

Step-by-step explanation:

There is only one solution.

Answer: x=3/2

Step-by-step explanation:

How do you go from 98 to 720 using just one letter?
RIDDLE...​

Answers

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

solve the equation
x^2 + 4x - 7
By completing the square
give answer correct to two decimal places.
( p.s the answer is not -5.32 or 1.32 )

Answers

Answer:

x = 1.32, -5.32

Step-by-step explanation:

x^2 + 4x - 7

Set equal to zero

x^2 + 4x - 7 =0

Add 7 to each side

x^2 + 4x =7

Take the coefficient of x and divide by 2

4/2

Square it

2^2 =4

Add to each side

x^2+4x+4 = 7+4

(x+2)^2 = 11

Take the square root of each side

x+2 = ±sqrt(11)

Subtract 2 from each side

x = -2 ±sqrt(11)

x=1.31662

x=-5.31662

To 2 decimal places

x = 1.32, -5.32

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!!

Answers

Answer:

So since the ball is at x=0 at the end.

We plug in it.

h(x) = 16 if you simplify it

Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.​

Answers

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) =  22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3

Pls help me with this question I’m trying to Anwser

Answers

Answer:Wish i could help, but I'm just as confused.

Step-by-step explanation:

Evaluate the following expression
(-3)-2

Answers

Answer: 2+3

Step-by-step explanation:

Answer:

Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.

In this case, -3 and -2 are integers that are being added.

if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change

thus, (-3)-2 = -5

In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°

Answers

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

State true or false
The measure of the supplementary angle of the complementary angle of an angle with measure 35 degree is 125 degree

Answers

Answer:

True

Step-by-step explanation:

90-35=55degree

180-55=125°

Order these numbers from least to greatest.
1.4, 1.103, 1.1322, 1.13

Answers

Answer:

1.103,1.13,1.1322,1.4

Step-by-step explanation:

find the decimal places and u can figure out with they are greater than this decimal or less

Answer:

1.103, 1.13, 1.1322, 1.4

Step-by-step explanation:

hope that helped:D

Autumn is working two summer jobs, making $16 per hour tutoring and making $12 per hour landscaping. In a given week, she can work no more than 17 total hours and must earn at least $240. If Autumn worked 3 hours landscaping, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

13,14

Step-by-step explanation:

t = tutoring

l = landscaping

16t+ 12l ≥240

t+l ≤17

We know that she worked 3 hours landscaping

l =3

t+3≤17

t ≤14

16t+ 12*3 ≥240

16t + 36  ≥240

Subtract 36 from each side

16t ≥204

Divide each side by 16

t ≥204/16

t ≥12.75

We know that

12.75 ≤t≤14

She has to work whole hours

13,14

what are solutions for |x+4|=3x-5

Answers

Answer:

Step-by-step explanation:

What is the difference between -4 and 6

Answers

[tex]answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

[tex] - 10[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = ( - )[/tex]

[tex]( - ) + ( - ) = ( - )[/tex]

Let's solve

[tex] - 4 - ( + 6) \\ - 4 - 6 \\ = - 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Need help with this question

Answers

Answer: 30

Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...

a² + b² = c²

24² + 18² = c²

576 + 324 = c²

c² = 900

[tex]\sqrt{900}[/tex]

30

30 = c

I hope this helps!

4(x + 2) = 2x + 10


explain each step plz

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))

Solve the equation.
2/3-4x+7/2=-9x+5/6

Answers

Answer:

x=-2/3

Step-by-step explanation:

Answer:

x = -2/3

Step-by-step explanation:

don't feel like writing all the fractions but basically isolate the X and the fractions. add them in a calculator divide by the coefficient thats left with x and there you go

!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity. CLIP IN QUESTION

Answers

Answer:

(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8[tex]x^{6}[/tex] + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Answer: Edmentum/plato

Step-by-step explanation:

Catherine reflected the triangle across the x axis. What is the new
triangle?

Answers

for point A= -1 for point B= -2 for point C= -4. To get your answers alls you have to do is literally reflect the triangle numbers as of it was in a mirror

Answer:

C. (or the third graph)

Step-by-step explanation:

which expression is equivalent

Answers

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

         

PLEASE HELP MEEEE ill mark brilliance!!!!

Answers

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

There are 650 toothpicks in a​ regular-sized box. If a jumbo box is made by tripling all the dimensions of the​ regular-sized box, how many toothpicks will the jumbo box​ hold?

Answers

Answer: 1950 is how many it will hold.

Step-by-step explanation:

Which relationship describes angles 1 and 2?

Select each correct answer.


complementary angles

supplementary angles

vertical angles

adjacent angles

Answers

Complementary angles
Other Questions
I NEED ANSWERS FAST. 1.Using the following image, find FE given GF=6 and GE=13, 2.Using the following image, find RS given ST=5and RT=11. La famille means the... Which sentence in this excerpt from eleanor Roosevelt's speech "what libraries mean to the nation" is an example of the rhetorical strategy of pathos Segn el contexto, llene los espacious en blanco con las formas correctas de ser y estar Mi pasaporte ____ nuevo. ___en esa maleta negra que lleva mi padre.A. Es, esB. Est, esC. Es, estD. Es, estar Based on an architectural drawing, a roof slopes to a drainalong the function represented in the table that defines theedge of slope, where x is the horizontal distance in feet andf(x) is the vertical distance in feet.If the drain is at the minimum point, how far is it from the walldefined by the y-axis?0 feet 8 feet 80 feet 160 feet Help asap giving branlist!!! Estimate the measure of DBC.Could someone please help me with this? Claire is on a business trip. Shell be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude. x^3/x^1/6=x^a value of a in simplest form? Which values are equivalent to the fraction below? 6^7/6^5 Which part of the government, according to the Constitution, should be madeup of two representatives per state? joaquin is interested in changing his carbohydrate intake to decrease his risk of developing diabetes. which change would you suggest he make? General Discussion Questions What should business leaders take away from this scandal? What could Wells Fargo have done differently to avert this cultural meltdown? Practice of Ethical Leadership Questions Modeling Character and Values: What values did Stumpf model to Wells Fargo employees? What impact might that have on the culture of Wells Fargo? Encouraging Ethical Conduct: What behaviors can leaders model in order to encourage ethical behavior in their organization? Designing Ethical Systems: Wells Fargo did have some systems in place, like the ethics hotline, to report unethical behavior, but it didnt work. Why do you think that is? What steps can leaders take to design systems that encourage ethical behavior rather than unethical behavior? Fill in the blank: ____________ elect one state senator and two representatives to serve in the Arizona State Senate and Arizona State House.a. congressional districtsb. precinctsc. city councilsd. legislative districts The following accounts were taken from the Adjusted Trial Balance columns of the end-of-period spreadsheet for April 30, for Finnegan Co.: Accumulated Depreciation $32,000 Fees Earned 78,000 Depreciation Expense 7,250 Rent Expense 34,000 Prepaid Insurance 6,000 Supplies 400 Supplies Expense 1,800 Prepare an income statement. 13. Nine less than a number is no more than 8 and is no less than 3. Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures. Mai deposited $4000 into an account with 4.8% interest, compounded quarterly. Assuming that no withdrawals are made, how much will she have in theaccount after 7 years?Do not round any intermediate computations, and round your answer to the nearest cent. first law of equilibrium You want to cook a healthy meal for your family. While shopping for food, you remember that it is important to read the food labels and dates to help you make an informed choice.Which statement best describes the "use by date shown on food products?This date indicates when a product will be of best flavor or quality.This date tells the store how long to display the product for sale.This is the last date recommended for use of the product.This is the date that guarantees safety of the food item.