Show that x^2-8x+20 can be written in the form (x-a)^2+a where a is an integer

Answers

Answer 1

Step-by-step explanation:

Let's complete the square

x²-8x=-20

x²-8x+(-4)²=-20+(-4)²

x²+(-4)²=-20+16

(x-4)²=-4

(x-4)²+4

where a is an integer as required


Related Questions

what is the answer for

Determine the constant of proportionality for the graph.

10 1/5 5 or 2

Answers

Answer:

1/5

Step-by-step explanation:

y = kx

k is the constant of proportionality

Pick any of the indicated points.

Using point (20, 4)

4 = k(20)

Divide both sides by 20

4/20 = k

reduce

1/5 = k

pls help i dont get it

Answers

Answer:

Step-by-step explanation: it’s 41%

A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?

Answers

Answer:

Step-by-step explanation:

What is hypothesis and axioms?​

Answers

Answer:

Hypothesis-  scientific prediction that can be tested or verified

Axioms- statement which is assumed to be true

Step-by-step explanation:

100 POINTS IF U GET THIS RIGHT!

Answers

[tex]\\ \sf\longmapsto y=\dfrac{2}{7}x+\dfrac{1}{3}[/tex]

Compare to slope intercept form of a line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

m=Slope=2/7b=y-intercept=1/3

1/3 of 12= 2/3 of
how do I do this I've forgotten please help​

Answers

Answer:

6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.

Step-by-step explanation:

Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.

Answers

To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.

To do this, we assume the following values

[tex]\mathbf{u = 75}[/tex]

[tex]\mathbf{v = 45}[/tex]

So, we have:

[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]

Substitute the assumed values for u and v

[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]

Subtract 45 from 75

[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]

Using a calculator, calculate the values of tan(30), tan(45) and tan(75)

So, we have:

[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]

Subtract 1 from 3.7321

[tex]\mathbf{0.5774 \ne 2.7321}[/tex]

Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.

Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true

Read more about proofs of trigonometry at:

https://brainly.com/question/22698523

Finite geometric series:

Hi, I want to ask a question, is about... for example, take the sequence 1,2,4,8,... Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th number in the sequence is E^5 n-1^2n-1. This equation can also be written as S5 = 2^0 + 2^1+2^2+2^3+2^4. If we multiply this equation by 2, the equation becomes 2(S5) = 2^1+2^2+2^3+2^4+2^5.

What happens if I subtract the two equations and solve for S5? Can I use this information to come up with a way to find any geometric series Sn in the form E^a n-1^bn-1?

Answers

Answer:

You can, however i’m warning you it will definetly be difficult

Step-by-step explanation:

what is the answer ?????​

Answers

Answer:

20%=20/100

       =2/10

       =1/5

35%=35/100

      =0.35

1- Answer : 1/4
all the other answers do not make sense
20 times 6 is 120 and 20 is not 20 percent of that
20 times 4 equals 100
making that 20%
2-0.35
When making a number or percentage into a decimal just put it in the right numeral placing and add a dot when necessary


Hope I helped

please help. 15 points and brainliest if correct!

Answers

Answer:

2 and 3

Step-by-step explanation:

hope this helps!❄︎

If 2/15 is 40 then 1/15 is?

(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)

Answers

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

A cafeteria sells 6 times as many bottles of juice. if the cafeteria sells 750 bottles of water. how many bottles of juice did the cafeteria sell? ANSWER

Answers

Answer:

4,500 bottles of juice.

Step-by-step explanation:

Clue word: Times means multiplyIf you multiply 750 x 6 you will get 4,500.

What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x

Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Parallel lines have the same slope.

Solve for y in the equation to find the slope.

x - 4y = 4x

  -4y = -x + 4x

  -4y = 3x

     y = 3/-4 x   = -3/4x    So the slope is -3/4  which is the coefficient of the

                                       x term

Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"

y = mx + b

-1 = -3/4(-8) + b

-1 = 6 + b

-1 - 6 = b

-7 = b

The equation of the new line:  y = mx + b

                                                  y = -3/4x - 7

5p + 3 = 15
please make this into a word problem​

Answers

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

Subtract three from both sides

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

9w = -54
what does w =

Answers

Answer:

w = -6

Step-by-step explanation:

[tex]9w=-54~(Given)\\\\\frac{9w}{9}=\frac{-54}{9}~(Divide~9~on~both~sides)\\\\w=-6~(Simplify)[/tex]

Liquid nitrogen is -196°C. What is the difference in temperature between the liquid
nitrogen and the frozen meal temperature (-18°C)?

Answers

Answer:

the state the item is in such as liquid nitrogen is frozen air and frozen meals are ice solid.

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS THANKS

Answers

The maximum is 4 days
200:42= 4,76

Answer: 4

Step-by-step explanation: I divided 200 by 42 and got 4.761904762. Then I multiplied 42 by 4 and got 168. 200-168 is 32. You would only have 32 dollars left and that is not enough to have the car for another day.

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.

Question 7 options:


A)


(4, 1)


B)


(4, 5)


C)


(2, 2)


D)


(–6, 6)

Answers

Answer:

B ......................

7th grade math please help

Answers

Answer:

11.8

Step-by-step explanation:

brainlest

Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?

Answers

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

A person who is 1.7 meters tall want to know the height of the
center of a Ferris wheel from the ground in the amusement
park, if he is 40 meters away and looking up to its center with an angle of 30°.

The center of the Ferris wheel is how many meters from the ground?

Answers

Answer:

https://www.javelin-tech.com/blog/wp-content/uploads/2020/11/NC_Math-3_Student-Edition-1-1.pdf

Step-by-step explanation:

Find the answer here if you can find it :> thanks me later

in the diagram above <1=135 find the measure of <3

Answers

2 = 45°. Step-by-step explanation: ∠ 1 and ∠ 2 are same- side interior angles and are supplementary, thus.


Is the function f x
2x4 + 4x2 – 1 is an even function. Prove it algebraically

Answers

Answer: The function is even.

Step-by-step explanation:

x= 0.5 AND x -0.5 will give you the same result for y.

Brainliest plz

PLS HELP ASAP ILL GIVE BRAINLKEST

Answers

Answer:

4th option

Step-by-step explanation:

Use these values to solve this problem.
a = 1, b = -8
-3ab

Answers

Answer:

24

Step-by-step explanation:

-3(1(-8))

1x(-8) = -8

-3 x -8 =24

Evaluate the expression below.

​5^{0}5
0

Answers

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

7/3, 8/9, 12/5 order from smallest. please explain me 8/9 as its very confusing. i will give points and brainliest answer to nicly explained answer.

Answers

Answer:

8/9,7/3,12/5

Step-by-step explanation:

8/9 is smallest because the the numerator(upper number)is smaller than the denominator (which is the bottom number)so the value will be smaller than 1 unlike the other two fractions their numerator is bigger than the denominator so the value of them will be bigger than one

You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for the red car?

Answers

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline {and thats about it!}

With an 18% discount, Joah was able to save $13.23 when buying a coat.
What was THE original price?

Answers

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

Which system of inequalities has no solution ? I’m not sure

Answers

I think the answer might be c

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