Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1

Solve The Following Quadratic Bycompleting The Square.f(x) = X2 + 10x - 1

Answers

Answer 1

Answer:

x = -5 plus/minus sqrt( 26 )

Step-by-step explanation:

Let's remember the binomial square formula

A^2 + 2AB + B^2 = (A + B)^2

We have:

x^2 + 2*5x -1

Hence, if we replace

A = x

B = 5

we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2.      [++]

Based on this reasoning, let's set f(x) = 0

x^2 +10x -1 = 0

Let's add 26 on both terms:

x^2 +10x +25 = 26

Based on [++]:   (x + 5)^2 = 26

Square root on both sides

(x + 5) = plus/minus sqrt (26)

x = -5 plus/minus sqrt (26)


Related Questions

The distance around earth is 24,887 miles. How many kilometers is the distance around the earth.

Answers

Answer:

40051.744

Step-by-step explanation:

because im smart

[tex]1 \: mile = 1.60934 \: kilometers[/tex]

[tex]24887 \: miles = x \: kilometers[/tex]

[tex]x = 24887 \times 1.6934 [/tex]

[tex]x = 40 \: 051.65 \: kilometers[/tex]

The area of a rectangle is 27x2+27x-30 square feet. The length of the rectangle is 9x– 6 feet. What is the width of the rectangle?

Answers

Divide the polynomials to get the 3x + 5

The mean for the data in the dot plot is 5. What is the absolute deviation for the data point at 7?

Answers

Answer:

The answer is 2. Hope this helps!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

10 brainlies!!!!! help with this question

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Answer:

ok

Step-by-step explanation:

What quantity of parsley would you need to make a half recipe?​

Answers

Answer:

7/16 of parsley

Step-by-step explanation:

Will give points please help

Answers

Answer:

Part A

Step-by-step explanation:

Did test for flvs, brainliest please ;)

The top and bottom lines are parallel. What is the value of x?
35
+
80° IX
O A. 45
B. 105
OC. 100
OD. 65

Answers

Answer:

65

Step-by-step explanation:

Find the area of the highlighted cubes.

Answers

Answer:

15 cm

Step-by-step explanation:

area stands for amount of space in certain spot therefore the answer would be 15

BRAINLIST PLEASE!

^^^^^ what that person said it’s 100% true

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU DO THEN YOU GET REPORTED AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

BC=48

Step-by-step explanation:

BC=EF.

so x+37=4x+4

Move things over etc etc:

37=3x+4

33=3x

x=11

BC= x+37

If x=11 then BC= 11+37.

sorry for not putting the picture

Answers

Answer:

Answer bellow

Step-by-step explanation:

9cm⋅12cm=108cm²

17cm=108cm²

7cm=108cm²

9cm=108cm²

3cm=108cm²

Answer:

407

Step-by-step explanation:

9 x 17 = 153

9 x 16 = 135

(15 x 14) x 1/2 = 105

add em up...

153 + 135 + 105 = 407

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

During a basketball game a player makes 12 of 18 free throws attempted. Write the ratio as a fraction reduced to lowest terms

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.

[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]

I hope this helps! Have a lovely day!! :)

How many square yards are there in a floor which is 9 feet long by 21 feet wide?

Answers

Answer:

Step-by-step explanation:

Length of floor=9ft=3 yard

Breadth of floor=21ft=7 yard

Area of floor=lb=3×7=21yard²

PLEASE BE QUICK
Which point represents the fraction 3/6

A B C D

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Out of 6 spaces on number line, C is the 3rd one

Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.


Based on the results above, predict the number of times a 3 would be rolled it Stacy performs the experiment a total of 480 times

A. 63


B. 102


C. 87


D 141

Answers

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

is answer letter D.141

Mr Wong spent $3750 on general expenses last month 20% of his general expenses
was electrioty charges. How much money did he pay for electricity charges laat
month?

Answers

Answer:

$750

Step-by-step explanation:

20% can also be written as 1/5 in fraction form (20/100)

3750 x 1/5 = 750

Write down the corresponding side and angles from given congruent triangles.

Answers

Answer:

Hope the pictures will help you...........


The length and breadth of a rectangular piece of paper are 18 cm and 15 cm respectively. By how much should be length be reduced keeping breadth constant to make area equal to 134 cm².....​

Answers

Answer:

Area of a rectangle = length x breadth

Given:

area = 134 cm²breadth = 15 cm

⇒ 134 cm² = length x 15cm

⇒ length = 134 ÷ 15

               = 8.93333333... cm

Reduction in length = original length - new length

                                 = 18 cm - 8.93333333... cm

                                 = 9.07 cm (nearest hundredth)

NOPQ is a rhombus. Given ON=110 and OQ=176. find each measure

Answers

Answer:

I cannot see the attachment

Step-by-step explanation:

CAN SOMEBODY HELP ME
NO LINKS

Answers

Domain of this function is R or (-∞,∞)

Cuz this function of definable in each and every real number

Dawn can paint of a wall in 1 hour. How
many walls can she paint in 2 hours?

Answers

Dawn can paint 2 walls in two hours according to ur question

I will mark brainlest

Answers

Answer:

option c

Step-by-step explanation:

-2,-1/4,1/4,0.5,4

I hope it helps you

It takes 4 people 6 days to build a wall. How long would it take 6 people to build the same wall?

Answers

Answer:

1 day

Step-by-step explanation:

4=6

2=3

2*3=6

so 3/3=1

It would take 6 people to build the wall 1 day

It takes 4 days to build the same wall with 6 people based on the given ratio.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

It takes 4 people 6 days to build a wall.

The number of people days taken = 4 x 6 = 24 people takes

This means if one person wants to build them it takes 24 days.

For 6 people the time taken will be 24/6 = 4 days.

Hence "It takes 4 days to build the same wall with 6 people based on the given ratio".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Find the surface area of the prism.

Answers

[tex]s \: a \: = (2 \times \frac{1}{2} \times 4 \times 6) + (3 \times 2 \times 5) \\ [/tex]

[tex]s \: a \: = 24 + 30[/tex]

[tex]s \: a \: = 54 \: \: {yd}^{2} [/tex]

{( - 1, 2), (0, 3), (1, 4)}
Which algebraic equation gives the correct rule for the table?

Answers

Answer:

The rule for the input-output table below is: add 1.5 to each input number to find its corresponding output number. Use this rule to find the corresponding output numbers. To find each output number, add 1.5 to each input number. Then, write that output number in the table.

Solve this for c: 2x + y = 10,
4x + 2y = c ​

Answers

x = 2?? and y = 6
4x + 2y = 20 so c = 20??

The product of two rational numbers is 6.If one of them is 8,find the other number.
With steps also please.

Answers

Answer:

0.75

Step-by-step explanation:

The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.

So, 0.75 * 8 = 6

The other number is 0.75

What is the answer for -10+3--4+5?

Answers

the answer would be 2!

Find the surface area of the cone in terms of π.

Answers

Answer:

161 × pi cm²

Step-by-step explanation:

we just had the question about the lateral surface area (which is the area of the "mantle" of the cone from the round bottom to the pointy top).

the whole surface area of a cone is then simply the lateral surface area plus the ground area, which is a circle.

so, we have

A = pi×r×sh + pi×r²

r = radius (remember, this is half of the diameter)

sh = slant height (the length of the "mantle" straight up from the ground to the top)

so, the surface area of our cone here is

A = pi×(14/2)×16 + pi×(14/2)² = pi×7×16 + pi×7² =

= 112×pi + 49×pi = 161 × pi cm²

In 2014, the average price of a new car was $37,600. For the period shown, new-car prices increased by approximately $1250 per year. If this trend continues, how many years after 2014 will the price of a new car average $46,350? In which year will this occur?

Answers

The year in which the average price of a new car would average $46,350 is 2021.

In which year would the price of a new car average $46,350?

The price of a new car increases by $1250 per year. This is known as appreciation. The value of a new car can be represented with this equation:

Value of new car = value of the car now + (rate of increase x number of years)

Number of years = value of the new car - value of the car now) / rate of increase

(46350 - 37600) / 1250 = 7 years

7 + 2014 = 2021

To learn more about appreciation, please check: https://brainly.com/question/26847097

#SPJ1

Full question and options​

Answers

Answer:

D

Step-by-step explanation:

A triangle is always determined by the names of its angles. If, for any reason, you wanted to label it by its side names(which I don't even think you can do but assuming you wanted to), you dont even have the names for all three sides here. So, it can only be d. A, X, and T are the three angle names for this triangle, so this is triangle ATX or AXT.

Answer:

ATX (option d)

Step-by-step explanation:

Sides of any polygon are called as vertices.

Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.

Triangles can also be classified by their angles. In an acute triangle all three angles are acute.

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