What must be added to the expression x^2 - 18x to make it a perfect square?

Answers

Answer 1

Answer:

+ 81

Step-by-step explanation:

Given

x² - 18x

To complete the square

add ( half the coefficient of the x- term )² to x² - 18x

x² + 2(- 9)x + (- 9)²

= x² - 18x + 81

= (x - 9)² ← perfect square


Related Questions

how can you find the value of the expression -5 + 12 + 10 - 7

Answers

Answer:

-5 +12+10-7

-5+12=7

7+10=17

17-7=10

Answer:

10

Step-by-step explanation:

-5+12+10-7

-12+22=

10

hope it helps!

classify each number below as an integer or not
1) 51
2) 3/4
3) 59
4) 0.96
5) -9/1

Answers

Answer:

Integers are whole numbers such as 1, 2, 3 , 4, 5

1) 51 —> will classify as a integer because it’s a whole number

2) 3/4 —> would not classify as an integer because it’s a fraction not a whole number

3) 59 —> will classify as a integer because it’s a whole number

4) 0.96 —> would not classify as an integer because it’s a decimal not a whole number

5) -9/1 —> would not classify as an integer because it’s a fraction not a whole number

A quadrilateral has angle measures of 41 52 and 54 which is the measure of the last angle

Answers

Answer:

213 degrees

Step-by-step explanation:

A quadrilateral has an internal measurement of angles of 360 degrees.  Given that we have 3 measures of the angles, we simply need to find the 4th.  This can be accomplished with the following equation:

x + 52 + 54 + 41 = 360

x + 52 + 95 = 360

x + 147 = 360

x = 213

Hence, the measure of the final angle is 213 degrees.

Cheers.

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write an inequality that would be used to solve for the least amount of money she needs to deposit to avoid a fee. 524.96 − 32.50 + x ≥ 500 524.96 − 32.50 + x ≤ 500 524.96 + 32.50 − x ≥ 500 524.96 + 32.50 − x ≤ 500

Answers

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

A box of cornflakes has a mass of 350g.A new box is brought out which states "contains 15% extra".What is the mass of the new box?
CAN SOMEONE HELP ME PLEASE IAM STUCK​

Answers

The answer is 402.5 grams. The question asks to find the weight of a new carton with 15% extra contents in comparison to the original 350g. Simply all you do is find 15% of 350, and add it onto 350, this getting you 402.5g

Please, can you do this step-by-step.... 2 1/3 + 6 3/5

Answers

Answer:

8 14/15

Step-by-step explanation:

Step 1:

2 1/3 + 6 3/5

Step 2:

2 5/15 + 6 9/15

Answer:

8 14/15

Hope This Helps :)

Answer:8  14/15

Step-by-step explanation:

convert to lcd, 2  5/15 6 9/15

add them and you get that

x+6/4 + x-3/5 = 5x-4/8​

Answers

Answer:

x = 7/15

Step-by-step explanation:

x + 6/4 + x - 3/5 = 5x - 4/8

x + x - 5x = -4/8 - 6/4 + 3/5

-3x = -2/4 - 6/4 + 3/5

-3x = -8/4 + 3/5

-3x = -2 + 3/5

-3x = -10/5 + 3/5

-3x = -7/5

x = (-7/5)/-3

x = -7/(5*-3)

x = -7/-15

x = 7/15

Check:

7/15 + 6/4 + 7/15 - 3/5 = 5(7/15) - 4/8

14/15  + 6/4  - 3/5 = 35/15 - 2/4

56/60 + 90/60 - 36/60 = 140/60 - 30/60

146/60 - 36/60 = 110/60

- 5у - 25 - - 40
What is y

Answers

The answer is y=-3 hope it helps

Trevor picked 5 ⅗ pounds of cherries. He distributed them evenly into 12 containers. How many pounds of cherries were in each container?

Answers

Answer:

7/15

Step-by-step explanation:

For me, it is easier to take the 3/5 and put it in decimal form which is .6 and add the 5 to it, making 5.6, and then in a calculator put in 5.6 divided by 12 and you should get a big decimal that's pretty big but if you have a graphing calculator and convert that to a fraction and you should get 7/15, This is a pretty lazy way of me doing it but that's how I did it.

Can someone help me with this

Answers

The definition of a triangle is a polynomial with 3 sides and interior angles adding up to 180.

Using the definition, we can create an equation.

[tex]180=42+31+x[/tex]

[tex]180=73+x[/tex]

[tex]x=107[/tex]

The measure of the third interior angle is 107 degrees.

Hope this helps.

頑張って!

Answer:

107

Step-by-step explanation:

triangle angles = 180

31 + 42 = 73

180 - 73 = 107

An actor gains 20 pounds for a part and then loses 15 pounds during the filming of the movie to go along with the story. How many pounds is the actor above or below his original weight?

Answers

Answer:

5 pounds above his original weight

Step-by-step explanation:

An actor gains 20 pounds for a role in a movie

He loses 15 pounds during the movie to blend with the story line of the movie

Since he gained 20 pounds and loses 15 pounds

20 pounds -15 pounds

= 5 pounds

Hence the actor is 5 pounds above his original weight

Graph equation y=|x-2|-4

Answers

Answer:

Step-by-step explanation:

Russell runs 9/10 miles in 5 minutes. At this rate, how many miles can he run in one minute

Answers

Answer:

9/50 miles

Step-by-step explanation:

9/10 miles in 5 minutes

= 9/50 miles in 1 min

.8787... as a fraction

Answers

Step-by-step explanation:

Write 0.8787 as

0.8787/1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.8787 × 10000

1 × 10000

=

8787/10000

Reducing the fraction gives

8787/10000

If segment BD is congruent to segment BC, BD=5x-26, BC=2x+1, and AC=43, find AB

Answers

Answer:Thats a tough one

Step-by-step explanation: Do you need this answer urgently?

Which of the expressions has a sum of 15.41? Select all that apply. A. 11 . 38 + 4 . 03 B. 10 + 5 . 41 C. 12 . 38 + 2 . 93 D. 9 . 2 + 6 . 21 E. 7 . 54 + 6 . 87

Answers

Answer: A. 11 . 38 + 4 . 03

                B. 10 + 5 . 41

                 D. 9 . 2 + 6 . 21

Step-by-step explanation:

Step 1

Compute the sum of the given options

a)  11 . 38 + 4 . 03 = 15.41

b) 10 + 5 . 41= 15.41

c) 12 . 38 + 2 . 93= 15.31

d) 9 . 2 + 6 . 21 =15.41

e) 7 . 54 + 6 . 87=14.41

Step 2

Eliminate the expressions that do not give a sum of 15.41 , we have

a)  11 . 38 + 4 . 03 = 15.41

b) 10 + 5 . 41= 15.41

d) 9 . 2 + 6 . 21 =15.41

Therefore, the expressions with sum of 15.41  are A, B  and D

Is 4/15 and 0.26 equivalent and why

Answers

Answer:

no. because if you divide 4/15 you will get 0.266666.....

For a fundraiser, Jose sold a total of 111 Snickers and Twix bars.
He sold twice as many snicker bars as he sold Twix bars. How many candy bars did he sell of each?

Answers

Answer:

hello

Step-by-step explanation:

hello

Out of 340 racers who started the marathon, 302 completed the race, 26 gave up, and 12 were disqualified. What percentage did not complete the marathon?

Answers

Answer:

11.18%

Step-by-step explanation:

Total = 340

Completed = 302

Not completed = 340 - 302 = 38

Not completed% = 38/340*100% =  11.18%

Which graph is generated by this table of values? x –5 –3 –1 4 y 2 4 1 0 On a coordinate plane, points are at (negative 5, 2), (negative 3, 4), (negative 1, 1), and (4, 0). On a coordinate plane, points are at (negative 5, negative 2), (negative 3, negative 4), (negative 1, negative 1), and (4, 0). On a coordinate plane, points are at (0, 4), (1, negative 1), (2, negative 5), and (4, negative 3). On a coordinate plane, points are at (1, negative 1), (3, negative 4), (4, 0), and (5, negative 2).

Answers

Answer:

The answer is A

Step-by-step explanation:

All you must do is find the correct values in the graph.

The graph which is generated by the table of values x -5,-3,-1,4 and y=2,4,1,0 is on coordinate plane points are at (-5,2) ,(-3,4) ,(-1,1) ,(4,0).

What is function?

A function is a relationship between two or more variables having each value of x corresponding to y values. Values of x are known as domain and values of y are known as codomain.

How to graph function?

We have been given the following table as under:  

  x                           y

 -5                          -3

 -3                           4

 -1                           1

   4                           0

We have to plot the points -5 ,-3,-1,4 on x axis and corresponding-3,4,1,0 on y-axis.

Hence the graph of given table of values is that on coordinate plane points are at (-5,2) (-3,4)(-1,1)(4,0).

Learn more about function at https://brainly.com/question/10439235

#SPJ2

Please help me Identify the terms, variables, coefficients and constants in each expression

Answers

For the first question the terms is -5a, -7, and 5d a variable is h...the coefficients are -5a, and 5d and the constant is -7

At the master Golf Tournament,Tiger Wood score is -3 and Phill Mickleson’s score is -5. Who is in the lead and how many shots?

Answers

woods is in the lead

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any value of a D. no value of a

Answers

Answer:

2

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2([tex]\frac{x+1}{a}[/tex]) - 1 = [tex]\frac{(2x-1)+1}{a}[/tex]

If you multiply both sides by a, you get   2a([tex]\frac{x+1}{a}[/tex]) - a = (2x-1)+1

Simplify it                                                   2a([tex]\frac{x+1}{a}[/tex]) - a = 2x

Add a to both sides                                    2a([tex]\frac{x+1}{a}[/tex])  = 2x +a

The two as on the left cancel out                   2(x+1)=2x+a

Distribute the 2                                               2x+2=2x+a

Then subtract 2x from both sides                        2 = a

Therefore, a = 2

Hope this helps!

Answer:2

Step-by-step explanation:

7r-9s+2r
evaluate for the following expressions for r=7,s=-2 and t=5

Answers

Answer:

91

Step-by-step explanation:

7(7) - 9(-2)+2(7)

=142+49

=91

Answer:

81

Step-by-step explanation:

Simplify it first:

7r-9s+2r = 7(7)-9(-2)+2(7) = 49-(-18)+14

(Since you have 49-(-18) it automatically becomes addition/a positive.)

So you have 49+18=14 which equals 81.

Hope this helps :)

Tommy used a straightedge and a compass to construct a square inside circle C, as shown.
Which of the following steps did Tommy take to construct the inscribed square? Select all steps in the construction.
A Construct a perpendicular bisector of the diameter AB.
B. Construct a perpendicular bisector of the diameter DE.
C. Construct a bisector of ADB to find the location of point E.
D. Use the compass to draw a circle centered at point c.
O E Use the compass to draw two arcs of the same radius centered at point C.
OF Use the straightedge to draw diameter AB of the circle.
OG Use the straightedge to draw lines connecting the endpoints of the two diameters.

Answers

Answer:

The correct options are;

A. Construct a perpendicular bisector of the diameter AB

D. Use the compass to draw a circle centered at point C

E. Use the compass to draw two arcs of the same radius centered at point C

F. Use the straightedge to draw diameter AB of the circle

G. Use the straightedge to draw lines connecting the endpoints of the two diameters

Step-by-step explanation:

To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.

The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.

Is 1/2 rational or a not whole interger

Answers

Answer:

Every integer is a rational number, numbers like 1/2,and -3/7 are also rational,  It is an Rational number

Step-by-step explanation:

Graph the solution of this inequality:
3/7 (35x - 14) ≤ 21x/2 + 3

Answers

Answer:

I'm terrible at explain so here's a screenshot

- Ripper

Step-by-step explanation:

Answer:

Second line with filled in hole at the two going to the left.

Step-by-step explanation:

simplify(1\2)^4 1\16 1\8 1\4

Answers

Step-by-step explanation:

(1\2)^4 x 1\16 x 1\8 x 1\4 [1/2^4=16]

1/16 x 1/512

=>1/2048

Cynthia besch wants to buy a rug for a room that is 20 ft wide and 33 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 378 ft² of carpeting. What dimensions should the rug have?​

Answers

Answer:

Length of rug = 14 ft

Width of rug = 27 ft

Step-by-step explanation:

Given:

Length of rug = 20 ft

Width of rug = 33 ft

Area she afford = 378 ft²

Find:

New sides

Computation:

Assume;

Uniform strip = x

So,

Length of rug = 20 - x ft

Width of rug = 33 - x ft

Ares = l × b

[20-x][33-x] = 378

660 - 20x - 33x + x² = 378

x² - 53x + 282

x² - 47x - 6x + 282

x(x-47) -6(x-47)

So,

x = 6 and x = 47

X = 47 not be taken, So x=6

Length of rug = 20 - 6 ft

Width of rug = 33 - 6 ft

Length of rug = 14 ft

Width of rug = 27 ft

A petri dish contained 130,504 bacteria. A scientist let the bacteria grow until there were 75,062 more of them. How many bacteria are there now? ​ bacteria

Answers

All you have to do is add the two numbers together:

130,504 + 75,062 = 205,566

205,566 is your answer
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