Find the values of a and b such that x^2-2x+2=(x-a)^2+b

Answers

Answer 1

Answer:

a = 1, b = 1

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms on both sides, that is

right side

(x - a)² + b ← expand factor using FOIL

= x² - 2ax + a² + b

Compare to left side x² - 2x + 2

Compare the coefficients of the x- term

- 2a = - 2 ( divide both sides by - 2 )

a = 1

Compare the constant terms

a² + b = 2 ( substitute a = 1 )

1² + b = 2

1 + b = 2 ( subtract 1 from both sides )

b = 1

Thus a = 1, b = 1


Related Questions

Finish the chart for
y= 1/2x

Answers

Answer:

So we know that y=1/2x. So we apply this equation on each x.

x=-2, so y=1/2*-2 which is -1. so y = -1

x=0, so y = 1/2 * 0 which is 0. so y=0

x=2, so y = 1/2*2 which is 1. so y=1

Hope this helps :))

It would be -2=-1, 0=0 , 2=1

Hope this helps

Have a great day/night


HELP PLEASE AND THANK YOU?!!!!!!!

Answers

Answer:

1/64

Step-by-step explanation:

2/8 chance that one of them get a gift card at least $25.

Do that three times

2/8 x 2/8 x 2/8 = 1/64 (simplified it)

A is the correct answer for 1/64

Evaluate the function.

f(x)=-4x²+19

Find f(−7)

Answers

Step-by-step explanation:

plug -7 for x into the function

f(-7)=-4(-7)²+19

f(-7)=-4(49)+19

f(-7)=-196+19

f(-7)=-177

Match the tables with the direct variation equation. You will not use all options.


Table A

x y
4 5
5 6.25
6 7.5


Table B

x y
7 1.61
12 2.76
14 3.22


Table C

x y
5 10.5
7 15
8 19.5


Table D

x y
0 0
11 35.2
15 48

The options are:
y=1.25x
not direct variation
y=0x
y=.23x
y=x+1
y=3.2x
y=5.5x

Answers

Answer:

the answer is table d 12 =12+34=4

Step-by-step explanation:

There are 24 carnations in each bunch and 12 roses in each bunch. Use your expression from question 1 or question 2 to determine the total number of carnations and the total number of roses Alison will distribute to each flower shop this week.

Answers

Answer: r/c  

Step-by-step explanation:

96/48

or

24/12

I need to know the answer please help me

Answers

Answer:

F: 12r+y

Step-by-step explanation:

- Why not G because if you multiple 2 by 6 and you get 12 then why not multiple the 6 too.

- Why not H because how do you get 16???

- Why not J because you don't add 2 pulse 6 to make 8 when you are supposes to multiple.

Hope this helps and sorry if wrong :)

Q3 of the numbers 5, 8, 10, 11, 12, 15, 19, 20, 20, 24, 25​

Answers

the answer is 20 ......

Greg bought a soft drink for 3 dollars and 6 candy bars. He spent a total
15 dollars. How much did each candy bar cost ?

Answers

Answer:

2 dollars is one candy bar

Step-by-step explanation:15-3

12/6=2

How is the formula for the area of a triangle related to the formula for the area of a parallelogram?​

Answers

Answer:

The area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is 2 times the area of a triangle

what is the length of a small paper clip?​

Answers

Answer: 1.375 inches

Step-by-step explanation:

Approximately 1.357 inches

CAN U WRITE IF THEYRE POTENTIAL OR KINETIC PLZ?? I WILL MARK BRAINLIEST

Answers

Answer:

1. potential

2. potential

3. potential

4. kinetic

5. kinetic

6. kinetic

7. potential

8. kinetic

9. kinetic

10. potential

11. kinetic

12. potential

Step-by-step explanation:

Plz help due tomorrow

Answers

Sorry too hard so sorry
Answer : 19 - 6/5j

To simplify this equation you need to combine like terms, adding all numbers and adding all variables.

can somebody help me ?

Answers

Answer:

I think it is the value of this constant is called the coefficient of proportionality

Step-by-step explanation:

The value of this constant is called the coefficient of proportionality or proportionality constant. ... Equivalently one may write x = 1k ⋅ y; that is, x is directly proportional to y with proportionality constant 1k (= xy).

What do you call the well-defined collection of objects?

Answers

Answer:

A Set

Explanation:

A set is a well-defined collection of objects called elements or members of the set.

What is the answer to factor -8 out of -32d + 56

Answers

Answer: -8(4d-7)

Step-by-step explanation:

-32d+56=-8([tex]\frac{-32d}{-8}[/tex]+[tex]\frac{56}{-8}[/tex])=-8(4d-7)

Mr. Rogers wants to retile the front of his roof. The roof of a house is 8 feet tall. If each tile is 1 foot by 1 foot, how many tiles does he need to buy in order to cover the entire front of the roof?

Answers

Answer:

i do not know

Step-by-step explanation:

Cant figure it out pls help

Answers

5y = -3x + 7

y = -3/5x + 7/5

Parallel = same slope

y = -3/5x + b

3 = -3/5 + b, b = 18/5

Standard form: Ax + By = C

y = -3/5x + 18/5

-3/5x - y = -18/5

Multiply by -5

Solution: 3x + 5y = 18

Answer: Scale factor = 2

This is the same as writing [tex]\frac{2}{1}[/tex]

===============================================

Explanation:

Focus on the left sides of each triangle. They correspond to one another. Note how RS represents the first two letters of RST; while MN represents the first two letters of MNO. We can see the order matters.

To find the scale factor, we divide MN over RS to get

MN/RS = 6/3 = 2

Therefore, the sides of triangle MNO are 2 times longer compared to the sides of triangle RST.

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

Extra info:

If you want to find x, then you would solve the following

MN/RS = ON/TS

6/3 = x/5.5

6*5.5 = 3x

33 = 3x

3x = 33

x = 33/3

x = 11

or we could simply multiply ST = 5.5 by the scale factor 2 getting 5.5*2 = 11, which is the length of segment ON.

Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below.

Answers

Answer:

1. $927

2. The ERROR in his expression is that he used 1.015 instead of using 0.015 (1.5%).

Step-by-step explanation:

1. Calculation for What is the correct amount Vince will pay back altogether

Using this formula

A = P + PRT

Where,

A represent Amount=?

P represent Principal =$900

R represent Rate of interest= 1.5%

T represent Time=2 years

Let plug in the formula

A = $900 + $900(0.015*2)

A = $900 + $900(0.03)

A = $900 + $27

A = $927

2. Explanation of the error in in Vince’s expression.

Based on the information given the expression he used which is 900 + 900(1.015 • 2) was correct but the ERROR in his EXPRESSION is that he incorrectly used 1.015 instead of using 0.015 (1.5%).

Therefore the correct amount Vince will pay back altogether will be $927 while the ERROR in his expression used 1.015 instead of using 0.015 (1.5%).

pls help me high paying reward.

Answers

Step-by-step explanation:

In a GP, there is a common ratio between the terms.

8 / (-16/5) = 8 * (-5/16) = -2.5

-20 / 8 = -2.5

We can see that every new term is -2.5 times bigger than the previous term.

Hence to find the next term,

we multiply -20 by -2.5:

(-20)(-2.5) = 50.

Hence 50 should go into the box.

Answer:

50

Step-by-step explanation:

You currently have a debt of $35. You earn and save $12 per week from your allowance. How
long will it take you to save $85?

Answers

Answer:

10 weeks

Step-by-step explanation:

12 * 3 = $36 At this point of 3 weeks you will be out of debt.

$12 * 7 weeks = $84 At  this point you will be a dollar short, but you had a dollar left over after 3 weeks. This would put you at a total of $85.

So, it would take 3 weeks to get out of debt and 7 to get up to $85.

3 + 7 = 10

A= 10 weeks

Hope this helps! :)

A line contains the point (2, 3) and has a slope of
2
What is the point-slope form of the line?
A- y - 2 = 1/2 (x-3)
B- y - 3 = 1/2 (x-2)
C- y + 2 = 1/2 (x+3)
D- y + 3 = 1/2 (x+2)

Answers

Answer:

B) y - 3 = 1/2 (x-2)

Step-by-step explanation:

y-y1=m(x-x1)

pls help. i have to write it in exponential form

Answers

X × X - X × X × X × X × X + 17= X × X × X + 2

Mr. Burke had 40 pencil. He gave his class 1/5 of the pencils.Then he packed away 1/4 of the pencils that reminded. All the other pencil were faulty,so he threw them away. How many pencils were thrown away

Please help me

Answers

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

what is a perimeter
say fast

Answers

In geometry, perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.

perimeter is the total length of a boundary of a figure.

Complete each congruency statement and name the rule you used. If you cannot show the triangles are congruent from the given information, leave the triangles blank.
PLEASE HELP I WILL MARK BRAINLEST!

Answers

Answer:

These are congruent, I used the method of mirroring to solve. A to L equals W  to K

Answer:

△ LAW ≅ WKL

By the Rule: ASA/SAA

Step-by-step explanation:

I hope this helps

A middle school took all of its 6th grade students on a field trip to see a ballet at a
theater that has 3500 seats. The students filled 2835 of the seats in the theater. What
percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

81%

Step-by-step explanation:

2835 / 3500

0.81 out of 1

81%

Answer:

the answer is 1000

helpppppp :((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((9999

Answers

Answer is C and E.

All of the other ones don't follow order of operations properly.

Please help it due ASAP
Please show workings

Answers

Answer:  Choice B

Point P is located at (-2, -1.8)

======================================================

Explanation:

Refer to the diagram below. I've added point Q (2, -3) that is directly below point M, and directly to the right of point N. Right triangle MQN forms with the 90 degree angle at point Q.

The distance from N to Q is 5 units. Count the spaces or apply subtraction and absolute value to find this.

1/5 of this distance is (1/5)*5 = 1. Starting at point N, move 1 unit to the right to arrive at point A(-2,-3). Point P is directly above this point A, such that point P is on line segment MN.

In other words, point P has x coordinate x = -2. So the answer must be choice B as this is the only answer choice that has its point with x coordinate -2.

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

The distance from Q to M is 6 units. Taking 1/5 of this leads to (1/5)*6 = 1.2

Start at point Q and move 1.2 units up to arrive at point B(2,-1.8). This point is on the same horizontal level as point P. So points B and P have the same y coordinate y = -1.8

The x coordinate of P is the same as the x coordinate of A(-2,-3)

The y coordinate of P is the same as the y coordinate of B(2,-1.8)

So overall, point P is located at P(-2,-1.8).

Again refer to the diagram. It shows point P directly above point A, and it shows point P on the same level as point B.

The length of segment NP is exactly 1/5 that of the length of segment NM.

We can write that as

NP = (1/5)*NM

this is equivalent to

5*NP = NM

after multiplying both sides by 5

Please Help Me!!!!!!​

Answers

The answer to the question provided is 50

Answer:

its C

Step-by-step explanation:

if y is 20 then you have to use the opposite of multiplication for 2/5 which would be division  so 20 divided by 2/5 = 50

check answer by multiplying 2/5 and 50 to get 20

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Online Content: Site 2 What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle? (Site 1)

Answers

yes because click to review the online conscience to answer the questions below using complete sentences we’re going to view additional questions
Other Questions
Help please ill give you brainlist HELP ASAP!!! ill give you brainliest!Which term refers to the individual locations within a PowerPoint table?O unitsO sectionsO cellsO formulas The numbers are opposites. The distance between the two numbers on the number line is 18. Olivia picked some peaches from her tree. She weighed each of the peaches. The results are shown in the line plot. What is the total weight of the two heaviest peaches? What are examples for sensory language in all quiet on a western front ? How did it make you feel to learn about that racism . Talk about and connect to an experience that has happen to you or around you using an example of your own . How are each the same ? How do these discriminations make you feel underline What the answer..,show work please Kevin swims, runs, and plays tennls regularly. Which term BEST describes the focus of his fitness routine?muscle strength tralningflexibilityaerobic exercisebalance On Monday, Abigail spent m minutes on her homework. On Tuesday, she spent 45 more minutes doing her homework than on Monday. On Wednesday, she spent twice as much time doing her homework than on Monday. On Thursday, she spent 15 minutes less doing her homework than on Wednesday. Write an algebraic expression in simplest form that represents the total number of minutes Abigail spent doing her homework on Monday - Thursday.Please help! >. A cheetah has a mass of 60kg. It produces a force of 480 N between its feet and ground. What is the acceleration? PLEASE ANSWER QUICK!!! 1. A composite with uni-directional fiber reinforcement is made using two unknown constituent materials, Material A which is the fiber and Material B which is the matrix. The elastic modulus of Material A is 150 GPa and the elastic modulus of Material B is 10 GPa. If Material A is 40 % of the overall composite by volume, determine what is the value of z in the equation 11 + z = 6? What is the difference between -2 and 7 -2+x=41 positive or negative Sora composes a point-by-point outline for his writing assignment about the American diet. He is most likely writing aboutthe history of factory farming and food processing.problems with typical American food and possible solutions.the importance of eliminating hunger in the country.the five-step process for raising one's grade in math class. X=y+2X=2y+1Solving Systems of Equations by subtraction Please solve this HELP ASAP please will mark brainliest Why is an excess increase of calcium detrimental to the muscle? Read the paragraph. Highlight the main idea.In 1776, Thomas Paine published a pamphlet titled Common Sense. In it, he wrotethat people should rule themselves. He also called for a revolution. The Americancolonists fought a revolution against Britain. Thomas Paine helped inspire thisrevolution. Question 9: 5 ptsThe number of patients treated in a dental office each day was recorded for 11 days. Find themedian for this data10, 20.15, 15, 10, 14, 15, 15, 13, 25, 24If the answer is not a whole number, enter it as a decimal. Round the decimal to the nearesttenth, if needed