x2–6x + 10 is to be written in the form ( x +a)2+ b Find the values of a and b.

Answers

Answer 1

Answer:

a = -3 and b = 1

Step-by-step explanation:

x² - 6x + 10

→ Half the second term and place it in the bracket

( x - 3 )²

→ Square -3

- ( 3 )² = -9

→ Place this outside the brackets along with plus 10

( x - 3 ) ² - 9 + 10

→ Simplify

( x - 3 ) ² + 1


Related Questions

Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score?

Answers

(|currentavg-initialaverage|/initialavg)*100 gives percent difference so:

(|72-80|)/(80)*100

gives a 10 percent difference (decrease)

80 100%
72 X%
X%=72•100/80
X=90 %
100-90=10%
Decrease in Kathleen’s average score is 10%. Good luck.

translate the phrase into a variable expression. use the letter m to name the variable. if necessary, use the asterisk for multiplication and the slash for division. the total number of minutes billed on the phone bill split between 3 phones

Answers

Answer:

m/3

Step-by-step explanation:

fghbzsvbftgzgbtefnysffafbydfs

Help I need this quick

Answers

Area of the 2 end triangles plus area of the 2 rectangular sides plus the area of the bottom rectangle

2 end Triangles
=2x(1/2bh)
=2x1/2x4x6
=24

2 side rectangles
=2(lw)
=2x5x13
=130

Bottom rectangle
=6x13
=78

Total = 24 + 130 + 78 =232

A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container

Answers

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

if 14 men can cultivate 42acres of land in 18weeks, how many weeks will 21 men working at the same rate take to cultivate 56 acres of land​

Answers

Answer:

16 weeks

Step-by-step explanation:

Some one help ASAP!!

Answers

okay where’s the question smarty

Find the length of the third side. If necessary, round to the nearest tenth. 11 11

Answers

Answer:

If we are talking about a triangle with two sides being of equal length: 11, then you can use Pythagorean Theorem to solve.  

Step-by-step explanation:

Imagine the sides labeled as a, b, and c. a and b are both 11. We have to find the value of c. we can do this by writing a^2+b^2=c^2. so 11^2+11^2=c^2. All that is left to do is find the square root of c^2 and you are left with your answer.

Please help me! I'm stuck and I don't know what to do!!! By the way, please don't insert a link, as I cannot reach them.

Answers

Answer:

study more so you can understand

The perimeter of a rectangle is 20 cm. The length of the rectangle is 3 cm less than 2 1/4 times the width. Find the dimensions of the rectangle

Answers

Answer:

the dimension of the rectangle is 4 cm and 6 cm respectively

Step-by-step explanation:

The computation of the dimension of the rectangle is shown below:

Given that

The perimeter of the rectangle is 20 cm

The width be x

So, the length would be 2 1 ÷ 4 x - 3 i.e.  9 ÷ 4x - 3

Now as we know that

Perimeter of the rectangle = 2 (length + width)

20 = 2 (9 ÷ 4x - 3 + x)

20 = 9 ÷ 2x - 6 + 2x

20 = 4.5x - 6 + 2x

26 = 6.5x

x = 4 cm

Now the length would be

= 9 × 4  ÷ 4  - 3

= 6 cm

Hence, the dimension of the rectangle is 4 cm and 6 cm respectively

Jeffrey multiplies one side of the equation 34+116=150 by
a number m. What does he need to do to balance the
equation?

Answers

Answer:

multiply the 150 on the other side by 'm' also

(34+116)m = 150m

Step-by-step explanation:

equations must maintain balance

please answer this for me?

Answers

Answer:

abkjjnjnnnnjxnjxbksbx

Step-by-step explanation:

Lol idont know sorry

heeeeeeeeeeeeeeeelp solve the following Q

Answers

Answer:

[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]

Step-by-step explanation:

Solving it by mid-term break method:

[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Step-by-step explanation:

We'll first factorize the quadratic equations by finding their zero-points:

[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]

Now we can use this to simplify the whole division:

[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

HELP HELP HELP HELP JUST TWO SMALL THINGS

put down whatever pls give me actual answers

Answers

Answer:

for what question i dont see the quetsion

Step-by-step explanation:

A quadratic function is shown on the graph below.
Which statement BEST describes its domain and range?
PLEASE HELP ME! THANK YOU!

Answers

The domain is the input value which is the x values

Because the graph continues off the page in a U shape the domain is any real number.

The bottom of the U is at x = 3 and y = 2 so the range is any number greater than or equal to 2

The answer is the first choice.

A triangle has angle measurements of 41°, 41°, and 98°. What kind of triangle is it?

Answers

Answer:

isosceles triangle?????????????????.................

Isosceles apparently lol.

Brad swims 4 laps every 6min how long does it take him to swim 14 laps?

Answers

Answer:

21 minutes

Step-by-step explanation:

4 goes into 14 three times which is 18 minutes. We need 2 more laps four for 6 can be 2 for 3.

Can someone help (this is 12 year old math)​

Answers

Answer:

Then why are you even doing that?

Step-by-step explanation:

A boy weighs 27 kilograms. Hoy much does he Weigh in pounds?

Answers

Answer:

59.5248

Step-by-step explanation:

Find the value of each variable given the triangle.
How I solve this

Answers

Answer:

m∠1 = 108°

m∠2 = 72°

Step-by-step explanation:

By applying triangle sum theorem in the given triangle,

Sum of all interior angles = 180°

38° + 70° + m∠2 = 180°

m∠2 = 180° - 108°

        = 72°

Since, angles 1 and 2 are the linear angles,

Therefore, m∠1 + m∠2 = 180°

m∠1 + 72° = 180°

m∠1 = 180° - 72°

m∠1 = 108°

The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?
A. 6 + 4 + 18
B. 2(6 + 4 + 18)
C. 32(18)
D. 4(6)(18)

Answers

Answer:

c

Step-by-step explanation:

Answer:

guys its D

Step-by-step explanation:

please please help!!, please show help if possible :D

Answers

the answer would be seven i think

Solve the following:
⅜x - 16 = 16

Answers

Answer:

x = 256/3

Step-by-step explanation:

3/8x - 16 = 16

Add 16 to both sides

3/8x = 32

Multiply 8 by both sides

3x = 256

Divide 3 by both sides

x = 256/3 or 85.3333333

What is the percentage change from 5 to 8?

Answers

Answer:

60%

Step-by-step explanation:

8-5=3

3/5=0.6 and 0.6 = 60%

so 3 is 60% or 5

so 5+3 is a 60% increase

Use the function below to find F(3).

F(x) = (1/5)^x

Answers

It’s C
We have 1*1*1 for the numerator and
5*5*5 for the denominator.

(WIll mark as brainliest) Which one of these graphs is a function and why and why not?

Answers

answer : Graph B

you’re welcome ! have a great night/day .

A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
A. 2 feet
B. 5 feet
C. 10 feet
D. 14 feet
Help ASAP!

Answers

Answer:

C) 10 feet

Step-by-step explanation:

h² = 8² + 6² = 64 + 36 = 100

h = √100 = 10

Find the trangular prisms surface area

Answers

Answer:

936cm^2

Step-by-step explanation:

18×24

+

30×7

+

18×7

+

24×7

Answer:

363cm squared

Step-by-step explanation:

Honestly, I have trouble with this stuff as well.

*keep in mind you need to use PEMDAS

Parenthessees

Exponents

Multiplication

Division

Addition

Subtraction

(24*18+7*18+24*7)/2

without the divisible of 2, this is what the triangular prism would be as a rectangular prism. all you have to do to seperate the two is divide the rectangular prism's value by 2.

A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.

Answers

Answer:

The truck can paint 32 miles in 12 hours.

Your parents take you to dinner at your favorite restaurant for your birthday. The cost of the
meal is $75. The restaurant adds a 10% tax to the meal. What is the total cost of the meal
including tax?
$

Answers

Answer:

$82.5

Step-by-step explanation:

75x 0.1 = 7.5

75 + 7.5 =

$82.5

b/2+1=5
solve this equation

Answers

Answer:

b=8

Step-by-step explanation:

b/2+1=5

b/2=5-1

b/2=4

b=4×2

b=8

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